Coordinate Geometry | Complete NCERT WITH BACK EXERCISE in 1 Video | Class 10th Board

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13:15- The distance between the two points can be measured using the Distance Formula which is given by: Distance Formula = √ [(x₂ - x₁)2 + (y₂ - y₁)2] Let the points be A(0, 0) and B(36, 15) Hence, x₁ = 0, y₁ = 0, x₂ = 36, y₂ = 15 We know that the distance between the two points is given by the Distance Formula, = √ [(x₂ - x₁)2 + (y₂ - y₁)2]....(1) = √ (36 - 0)2 + 15 - 0)2 = √ [(1296) + (225)] = √1521 = 39 Yes, it is possible to find the distance between the given towns A and B. The positions of towns A & B are given by (0, 0) and (36, 15), hence, as calculated above, the distance between town A and B will be 39 km. 38:57 - ii) Let A (- 3, 5), B (3, 1), C (0, 3), and D (- 1, - 4) be the four points of the quadrilateral. We know that the distance between any two points is given by the distance formula = √(x₁ - x₂)² + (y₁ - y₂)² To find AB, that is, the distance between points A (- 3, 5) and B (3, 1) by using the distance formula, AB = √(3 + 3)² + (1 - 5)² = √(6)² + (- 4)² = √36 + 16 = √52 = 2√13 units To find BC, that is, distance between points B (3, 1) and C (0, 3) by using the distance formula, BC = √(0 - 3)² + (3 - 1)² = √ (-3)² + (2)² = √9 + 4 = √13 units To find CD, that is, distance between Points C (0, 3), and D (- 1, - 4) by using the distance formula, CD = √(- 1 - 0)² + (- 4 - 3)² = √ (- 1)² + (- 7)² = √1 + 49 = √50 = 5√2 units To find AD, that is, distance between Points A (- 3, 5) and D (- 1, - 4) using distance formula, AD = √(-1 + 3)² + (- 4 - 5)² = √ (2)² + (- 9)² = √4 + 81 = √85 units Since, AB ≠ BC ≠ CD ≠ AD, therefore, no special quadrilateral can be formed from the given vertices. iii) Let A (4, 5), B (7, 6), C (4, 3) and D (1, 2) be the four points of the quadrilateral. We know that the distance between any two points is given by the Distance Formula, Distance Formula = √ (x₁ - x₂)² + (y₁ - y₂)² To find AB, that is, distance between points A (4, 5) and B (7, 6), by using the distance formula, AB = √(7 - 4)² + (6 - 5)² = √3² + 1² = √9 + 1 = √10 units To find BC, that is, distance between points B (7, 6) and C (4, 3) by using the distance formula, BC = √ (4 - 7 )² + (3 - 6)² = √ (- 3)² + 3² = √9 + 9 = √18 units To find CD, that is, distance between points C (4, 3) and D (1, 2) by using the distance formula, CD = √(1 - 4)² + (2 - 3)² = √ (- 3)² + (- 1)² = √9 + 1 = √10 units To find AD i.e. Distance between points A (4, 5) and D (1, 2) using distance formula, AD = √( 1 - 4 )² + ( 2 - 5)² = √ (- 3)² + (- 3)² = √ 9 + 9 = √18 units To find AC, the distance between points A (4, 5) and C (4, 3), we have Diagonal AC = √( 4 - 4 )² + ( 3 - 5)² = √( 0 )² + ( - 2)² = 2 units To find BD, distance between points B (7, 6) and D (1, 2), we have Diagonal BD = √(1 - 7)² + (2 - 6)² = √ ( - 6 )² + ( - 4 )² = √ 36 + 16 = √52 units Since AB = CD and BC = AD, but the diagonals AC ≠ BD, thus the quadrilateral is a parallellogram. 1:21:32 - P, Q, R divides the line segment A (- 2, 2) and B (2, 8) into four equal parts. Point P divides the line segment AQ into two equal parts. Therefore, AP : PB is 1 : 3 Using section formula which is given by P (x, y) = [(mx₂ + nx₁) / m + n , (my₂ + ny₁) / m + n] Hence, coordinates of P = [(1 × 2 + 3 × (- 2)) / (3 + 1), (1 × 8 + 3 × 2) / (3 + 1)] = (- 1, 7/2) Point Q divides the line segment AB into two equal parts Using mid point formula, Q = [(2 + (- 2)) / 2, (2 + 8) / 2] = (0, 5) Point R divides the line segment BQ into two equal parts Coordinates of R = [(2 + 0) / 2, (8 + 5) / 2] = (1, 13/2) 1:58:24- A rhombus has all sides of equal length and opposite sides are parallel. Let A(3, 0), B(4, 5), C(- 1, 4) and D(- 2, - 1) be the vertices of a rhombus ABCD. Also, Area of a rhombus =1/2 × (product of its diagonals) Hence we will calculate the values of the diagonals AC and BD. We know that the distance between the two points is given by the distance formula, Distance formula = √( x₂ - x₁ )2 + (y₂ - y₁)2 Therefore, distance between A (3, 0) and C (- 1, 4) is given by Length of diagonal AC =√ [3 - (-1)]2 + [0 - 4]2 = √(16 + 16) = 4√2 The distance between B (4, 5) and D (- 2, - 1) is given by Length of diagonal BD = √[4 - (-2)]2 + [5 - (-1)]2 = √(36 + 36) = 6√2 Area of the rhombus ABCD = 1/2 × (Product of lengths of diagonals) = 1/2 × AC × BD Therefore, the area of the rhombus ABCD = 1/2 × 4√2 × 6√2 square units = 24 square units

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00:01 Coordinate Geometry and NCERT back exercises discussed in the video 01:57 Coordinate geometry is a scoring chapter with easy concepts but requires careful calculations. 06:20 Understanding coordinate geometry concepts and distance formula 08:29 Summary of Coordinate Geometry concepts and formulas 13:02 Understanding the concept of collinear points 15:03 Coordinate Geometry and Collinearity 20:14 Explaining how to determine if three points are collinear or form an isosceles triangle 22:52 Using operations with coordinate geometry 27:30 Understanding the concept of a square in geometry 29:46 Understanding the concept of squares in coordinate geometry 33:58 Understanding and applying the distance formula 36:07 Understanding coordinate geometry concepts and calculations 40:18 Understanding coordinates and distance from x-axis 42:11 Understanding distance from x and y axis 46:56 Explaining the process of squaring and removing under roots 48:58 Finding a point with equal distance from two given points on the x-axis 53:22 Key points on solving equations in Coordinate Geometry 56:06 Summarizing coordinate geometry concepts for Class 10th Board 1:00:59 Solving equations using coordinate geometry 1:03:32 Understanding section formula for finding coordinates of a point 1:07:53 Section formula helps find coordinates of a point dividing a line segment 1:10:04 Finding coordinates of a point which divides a line segment 1:14:46 Introduction to Coordinate Geometry concepts. 1:16:45 Explaining how to find coordinates using formulas 1:21:19 Understanding the concept of mid point formula 1:23:21 Explaining the section formula and midpoint formula 1:27:57 Understanding and calculating coordinates of flags and distance formula 1:30:36 Understanding coordinates and midpoint in geometry 1:35:06 Understanding the division ratio of a line segment 1:37:19 Understanding the division of line segments on the x-axis 1:41:39 Understanding the concept of Taken in Order 1:43:54 Understanding of midpoints and diagonals in coordinate geometry 1:48:16 Finding the center and coordinates of a circle 1:50:31 Understanding the mid point formula and its application. 1:55:03 Understanding and finding coordinates using ratios 1:57:21 Formula for Area of Rhombus requires halving product of diagonals

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The distance between the two points can be measured using the Distance Formula which is given by: Distance Formula = √ [(x₂ - x₁)2 + (y₂ - y₁)2] Let the points be A(0, 0) and B(36, 15) Hence, x₁ = 0, y₁ = 0, x₂ = 36, y₂ = 15 We know that the distance between the two points is given by the Distance Formula, = √ [(x₂ - x₁)2 + (y₂ - y₁)2]....(1) = √ (36 - 0)2 + 15 - 0)2 = √ [(1296) + (225)] = √1521 = 39 Yes, it is possible to find the distance between the given towns A and B. The positions of towns A & B are given by (0, 0) and (36, 15), hence, as calculated above, the distance between town A and B will be 39 km. 38:57 - ii) Let A (- 3, 5), B (3, 1), C (0, 3), and D (- 1, - 4) be the four points of the quadrilateral. We know that the distance between any two points is given by the distance formula = √(x₁ - x₂)² + (y₁ - y₂)² To find AB, that is, the distance between points A (- 3, 5) and B (3, 1) by using the distance formula, AB = √(3 + 3)² + (1 - 5)² = √(6)² + (- 4)² = √36 + 16 = √52 = 2√13 units To find BC, that is, distance between points B (3, 1) and C (0, 3) by using the distance formula, BC = √(0 - 3)² + (3 - 1)² = √ (-3)² + (2)² = √9 + 4 = √13 units To find CD, that is, distance between Points C (0, 3), and D (- 1, - 4) by using the distance formula, CD = √(- 1 - 0)² + (- 4 - 3)² = √ (- 1)² + (- 7)² = √1 + 49 = √50 = 5√2 units To find AD, that is, distance between Points A (- 3, 5) and D (- 1, - 4) using distance formula, AD = √(-1 + 3)² + (- 4 - 5)² = √ (2)² + (- 9)² = √4 + 81 = √85 units Since, AB ≠ BC ≠ CD ≠ AD, therefore, no special quadrilateral can be formed from the given vertices. iii) Let A (4, 5), B (7, 6), C (4, 3) and D (1, 2) be the four points of the quadrilateral. We know that the distance between any two points is given by the Distance Formula, Distance Formula = √ (x₁ - x₂)² + (y₁ - y₂)² To find AB, that is, distance between points A (4, 5) and B (7, 6), by using the distance formula, AB = √(7 - 4)² + (6 - 5)² = √3² + 1² = √9 + 1 = √10 units To find BC, that is, distance between points B (7, 6) and C (4, 3) by using the distance formula, BC = √ (4 - 7 )² + (3 - 6)² = √ (- 3)² + 3² = √9 + 9 = √18 units To find CD, that is, distance between points C (4, 3) and D (1, 2) by using the distance formula, CD = √(1 - 4)² + (2 - 3)² = √ (- 3)² + (- 1)² = √9 + 1 = √10 units To find AD i.e. Distance between points A (4, 5) and D (1, 2) using distance formula, AD = √( 1 - 4 )² + ( 2 - 5)² = √ (- 3)² + (- 3)² = √ 9 + 9 = √18 units To find AC, the distance between points A (4, 5) and C (4, 3), we have Diagonal AC = √( 4 - 4 )² + ( 3 - 5)² = √( 0 )² + ( - 2)² = 2 units To find BD, distance between points B (7, 6) and D (1, 2), we have Diagonal BD = √(1 - 7)² + (2 - 6)² = √ ( - 6 )² + ( - 4 )² = √ 36 + 16 = √52 units Since AB = CD and BC = AD, but the diagonals AC ≠ BD, thus the quadrilateral is a parallellogram. 1:21:32 - P, Q, R divides the line segment A (- 2, 2) and B (2, 8) into four equal parts. Point P divides the line segment AQ into two equal parts. Therefore, AP : PB is 1 : 3 Using section formula which is given by P (x, y) = [(mx₂ + nx₁) / m + n , (my₂ + ny₁) / m + n] Hence, coordinates of P = [(1 × 2 + 3 × (- 2)) / (3 + 1), (1 × 8 + 3 × 2) / (3 + 1)] = (- 1, 7/2) Point Q divides the line segment AB into two equal parts Using mid point formula, Q = [(2 + (- 2)) / 2, (2 + 8) / 2] = (0, 5) Point R divides the line segment BQ into two equal parts Coordinates of R = [(2 + 0) / 2, (8 + 5) / 2] = (1, 13/2) 1:58:24- A rhombus has all sides of equal length and opposite sides are parallel. Let A(3, 0), B(4, 5), C(- 1, 4) and D(- 2, - 1) be the vertices of a rhombus ABCD. Also, Area of a rhombus =1/2 × (product of its diagonals) Hence we will calculate the values of the diagonals AC and BD. We know that the distance between the two points is given by the distance formula, Distance formula = √( x₂ - x₁ )2 + (y₂ - y₁)2 Therefore, distance between A (3, 0) and C (- 1, 4) is given by Length of diagonal AC =√ [3 - (-1)]2 + [0 - 4]2 = √(16 + 16) = 4√2 The distance between B (4, 5) and D (- 2, - 1) is given by Length of diagonal BD = √[4 - (-2)]2 + [5 - (-1)]2 = √(36 + 36) = 6√2 Area of the rhombus ABCD = 1/2 × (Product of lengths of diagonals) = 1/2 × AC × BD Therefore, the area of the rhombus ABCD = 1/2 × 4√2 × 6√2 square units = 24 square units

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[@ankitkushwaha2569]

2024 nhi 2025 re fagunnia 😅

[@ReenaSingh-qq3hl]

Thoda baacha h aabhi 😅😅

[@SARVDARSHIJAIN]

1:08:43 😂😂best sir bestt😂😂😂😂

[@titoo.2001]

Phir me a Gaya ❤

[@pritiupadhya6765]

Sir you are the only hope for Class 10 students❤❤...just amazing teacher in universe🎉♡♡babua sir op😊

[@aaymanahuja4697]

Kis kis ko ab dar lag raha hai😢

[@SR_VIDEO_CREATOR_7320]

Mujhe 🥲

[@itsrajsingh09-x7u]

Mujhe 😢

[@KRISHNA.YADAV.1460]

100 aa rha hai

[@ShivaChoudhary-qi5sy]

Bhai mujhe 😢😢😢

[@AryantvChannel3m]

Bilkul nhi lag raha kahi mai Boardphilic to nhi 😅

[@SkSurya95]

Babua board exam ka dar lagna start hone laga hai😢.

[@AdityaYadav-m2z]

😮

[@smartanuragsinghboy1375]

Please for 99.999%ka liya nahi to faul hojo gaya sahi ma ji😅

[@SCROLLDOWN001]

Like the comment if Ritik sir is the best teachers 👇

[@yaduvanshi09744]

Anyone from October?😂

[@MamtaSharma-u9g]

Yup

[@theKalYugBoy1]

Yes brother 😂

[@MunasManzoor]

​@theKalYugBoy1 yup

[@Itz_ROSHNI-z4s]

Me 😂

[@AyushiSingh-ss5qu]

Haa vo bhi last month

[@NidhiRajput-h3q]

Basic wala like karo

[@anshdwivedi2531]

Do only ncert question bro

[@Ratan_tiwari-p2r]

Lo.10 rupees 😂😂😂

[@Ratan_tiwari-p2r]

Tip

[@itz.moonlight477]

Ncert enough hai basic valo kae liye 😢?

[@ishachouhan.112]

29:01 Ve kamleya...😂😅

[@Dalveersingh07]

Good explanation sir Amazing❤

[@Sourabh46214]

Sir please April se new batch launch kardo jisme aap KZbin par free main padhoa plz

[@Maryamreaction_78]

39:13 2) quadrilateral 3) parallelogram 😊

[@prokiller2694]

X cordinate is perpendicular distance from y axis Y cordinate is perpendicular distance from x axis

[@finalgamerzofficial3060]

Kis kis ke September me school ke exam he 😢

[@munnanoushad]

Me watching this one day before pre board

[@RiyansiAhmed]

Me watching 1hr before pre-boards

[@thelifetime108]

Day_Day_sir ji handsame hota jarha hai😊

[@ShreyaYadav70-zd8ml]

Aaaaaaa haaaaaaa😂😂😂😂

[@PinkiKumari-j6r]

The answer of question 6th of part (ii) is No any quadrilateral and (iii) is Parallelogram.

[@ABHITHEROCKSTAR-v9v]

Ritik sir always rock❤

[@30-nov]

39:06 lologram

[@shanztv3210]

Question no 6 2nd one will not form quadrilateral Reply karna plz 3rd one is a parallelogram

[@theinsideartist5929]

But why the 2nd is not a quadrilateral. May be it is a quadrilateral with unequal sides

[@kiranpreet5853]

Sir next level understanding sir apki vjh se hi kl preboards me marks ane wale h 🙏🏻🥲🫂

[@Tdm_god18]

Dhanyawad sir ji ❤

[@viharmonani4793]

Ex 8.3 Q-4 (x) Answer Done

[@m.dgamerminecraft]

Best of luck 🤞 for 11 March 2024

[@ShreyaYadav70-zd8ml]

Same to you

[@HardikBharman]

U

[@priyanshu_rwt]

Ritik sir rocked others mathematics teacher socked 😂😂

[@priyanshu_rwt]

Dhanyawaad batane ke liye aangrej ki aaulad 😂❤

[@priyanshu_rwt]

Kya hoti hai spelling bta bi dete bhaiya

[@priyanshu_rwt]

Ok thank you by the way pura sahi likha vo nhi dikha ek spelling mistake ho gayi vo dikhi matlab yeh hai ki log galat chijo ko jayada dekhte hai

[@priyanshu_rwt]

B​@adityabhadu8249 but thank you and all the best for your board exam 😍🥰

[@snigdha._]

​@@priyanshu_rwt 10th m aa gya hai... Itna toh aana chahiye

[@RAOSAHAB_Editz453]

Chameli ko sab log maro usne ek question badha diya bechari champa ki baat mana karke 😂😂

[@dineshpatelharilalpatel3649]

😂😂😂😂

[@vanshu_sanatani_08]

1:47:37 😅😅 ye lologram kyu bolte ho😅😅❤❤❤❤❤

[@Glitch_gaming..----1]

Time to gear UP dosto⚡⚡

[@asiaanjum8421]

1:21:38 the way babua said 'JANEMAN'😁

[@Adarsh-li8jq]

When is your maths paper in the bord exam ?

[@rohithrohith-zl2ng]

DDE5F44FVVRVV

[@UrviPrajapati-zy4ck]

1:22:58 sir question ne apki monthly salary nahi puchi 😅😅😂😂

[@Annie_hubs]

39:31 answer (ii) no quadrilateral (iii) parallelogram

[@banna_kanathakur_2100]

Sir you are best teacher in the world❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[@Royal_Akash176]

Like for will be a topper 😂😂😂

[@devilledittz]

Waah sir❤

[@AyushKumar-xg8td]

Jo question dekhne aaya tha vah homework mein de diya😅

[@bigbossshorts-wh3og]

Hence proved, sir har pe class se rahe hai 😊😊😂

[@Itz_ROSHNI-z4s]

November mai kon dekh rha 😢

[@FactPro7M]

Me also 1.19 pm raat ko vo bhi really 😢😢

[@MehrEen-f6q]

Me

[@Aamir_mohammad_17]

​@@FactPro7M 1 p m raat nhi hota h😂

[@Pallavi713]

December 😂

[@FactPro7M]

@Pallavi713 haan 👍

[@Vidhiyadav-b9j]

Is ncert is enough for basic maths

[@truptibenpatel2306]

You like me and get 90% 😊🎉

[@HiteshKamboj-wh7uq]

Lologram ✅️ parallelograms 🚫

[@Honeybloom-i3l]

Is chapter me 7.3 kat gya kya 🥺🙂🙂

[@Mr_park_solomon]

1 like got in maths 75 plus

[@YoursSuii]

*_Thankk youuu sooo much Sir_* 👍🏻✨

[@AshokKumar-nm9ng]

You are the best teacher in the world

[@ShreyaYadav70-zd8ml]

Haaaaaa

[@rimpyrana9002]

29:01🫠🫡☺️☺️🙂🫡🫠🫠🫠😌😌😌ve kamleyaaa

[@Physicalwallha]

I love you ritik sir ❤❤

[@editorno.1]

28:58 ye kya tha 🤣

[@yaduvanshi09744]

Half yearly ke liye kaun dhek rha hai 😅 attendance here..✅

[@abhisheksinghmar7164]

Teerfdgfjbgn

[@abhisheksinghmar7164]

Ab ha math ki bari

[@Amaanvlogsandgaming]

Youu are the only one sir by which I can properly and clearly understand each and every topic 👍🍂 your explanation is best other than all teacher... I really appreciate and wanna say a lot of thanks to you.. ❤🌕⭐

[@Sanatani._.Piyush143]

2025 wale attandance laagao 😅

[@NuriShaikh-v6p]

All the best Inshallah everyone will score 95% in board

[@Notsuppressed]

Love you man ❤

[@IshanSinghGusain]

1:58:53 question 10 th = 24 sq .unit..❤