Quadratic Equations | Complete NCERT WITH BACK EXERCISE in 1 Video | Class 10th Board

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1:31:16- Let the first integer be x. The next consecutive positive integer will be x + 1. According to the given question, the sum of squares of x and x + 1 is 365. i.e., x2 + ( x + 1)2 = 365 x2 +( x + 1)2 = 365 x2 + (x2 + 2x + 1) = 365 [ ∵ (a + b)2 = a2 + 2ab + b2] 2x2 + 2x + 1 = 365 2x2 + 2x + 1- 365 = 0 2x2 + 2x - 364 = 0 2(x2 + x - 182) = 0 x2 + x - 182 = 0 x2 + 14x - 13x - 182 = 0 x (x + 14) - 13 (x + 14) = 0 (x - 13) (x + 14) = 0 x - 13 = 0 and x + 14 = 0 x = 13 and x = - 14 1:35:22 - In a right triangle, altitude is one of the sides. Let the base be x cm. The altitude will be (x - 7) cm. We can now apply the Pythagoras theorem to the given right triangle. Pythagoras theorem: Hypotenuse2 = (side 1)2 + (side 2)2 132 = x2 + (x - 7)2 132 = x2 + (x - 7)2 169 = x2 + x2 - 14x + 49 169 = 2x2 - 14x + 49 2x2 - 14x + 49 -169 = 0 2x2 - 14x - 120 = 0 (2x2 - 14x - 120) / 2 = 0 x2 - 7x - 60 = 0 x2 - 12x + 5x - 60 = 0 x(x - 12) + 5 (x - 12) = 0 (x + 5) (x - 12) = 0 x - 12 = 0 and x + 5 = 0 x = 12 and x = - 5 We know that the value of the base cannot be negative. Therefore, Base = 12 cm, Altitude = 12 - 7 = 5 cm 2:00:49- (ii) kx (x - 2) + 6 = 0 kx2 - 2kx + 6 = 0 a = k, b = - 2k, c = 6 b2 - 4ac = 0 (-2k)2 - 4(k)(6) = 0 4k2 - 24k = 0 4k (k - 6) = 0 k = 6 and k = 0 If we consider the value of k as 0, then the equation will no longer be quadratic. or Because A Quadratic equation has ax² + bx + c = 0 Conditions Where a ≠ 0 in this equation Kx² + 2Kx + 6 = 0 Where the values of K are K=0 and K=6 but According to the rule of Quadratic Equation a≠0 but here K=a so the value of k is 6 k=6 k≠0 Therefore, k = 6 2:13:56 - Consider a rectangular park with length as 'l' and breadth as 'b' respectively. Perimeter of a rectangle = 2(l + b) = 80 ....(1) Area of a rectangle = l × b = 400 ....(2) 2(l + b) = 80 (l + b) = 40 l = 40 - b Substituting the value of l = 40 - b in equation (2) (40 - b)(b) = 400 40b - b2 = 400 40b - b2 - 400 = 0 b2 - 40b + 400 = 0 Let’s find the discriminant: b2 - 4ac a = 1, b = - 40, c = 400 b2 - 4ac = (- 40)2 - 4(1)(400) = 1600 - 1600 = 0 Since, the value of the discriminant is 0, thus we can have two equal and real roots. Therefore, it is possible to design a rectangular park with the given condition. x = [- b ± √(b2 - 4ac)] / 2a = (- b ± 0) / 2a = -(- 40) / 2(1) = 40 / 2 = 20 So, breadth of the rectangle is b = 20 m and its length is l = 40 - b = 20 m Note that the park will be square in shape with side length 20 m.

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Disclaimer: This teacher can make you topper in maths so do it on your own risk ❤

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Why k cannot be zero? 2:01:28 Because the general form of quadratic equation is ax²+bx+c=0 and where 'a' is not equal to zero and in that question kx(x-2) +6=0 "k" Means "a" Means a value is k and "a" is not equal to zero so that's why...!!!

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2:01:43 because if we put 0 as k, the equation will not remain quadratic

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[@jonalisarma9916]

2:01:00 it can't be 0 because if we put 0 in place of k in the given equation then it will be terminated,so it can't be zero😊

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Standard form of quadratic equation is ax²+bx+c=0,where a is not equal to zero..

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Best teacher of math ritik sir ❤

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2:01:00 k = 6

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Me

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54:48 watch in 0.5x i bet u will have a hilarious laugh 😹

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1:31:35 x=-14 ,13

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Ncert me 14,13 diya h wahi pe stuck hu me bhi

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Mera bhi -14 , 13 aya h

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Kal mera maths ka PT 1 h kiska kiska h

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[@unknown-id_00]

2:01:33 k≠0 because, k = a which is coefficient of x² and a≠0(1:46:30) ∴ k≠0

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Y'all How to know if the story problem is from Linear Equation chapter or Quadratic Equations?

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If u can't solve this chapter questions then Wtabut trigonometry??

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@@UwU.slayer don't worry I know how to solve them my whole course is completed but I didn't payed any attention towards this ch so now I will watch this video to make it crystal clear 🙂

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@@surendrasingh4493 oh ! Then all the best ♡ for ur pre boards In b/w what u have taken, standard maths?

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2:01:38 In a quadratic equation a,b,c are real numbers but a≠0 therefore k≠0 ❤ Sir , Is this right or not

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😊

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2:14:23 l=20 m and b= 20m

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Yes🎉

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Yess....but it should be square then

[@tejaspandey1887]

@aksharamaheshwari waha par wahi pucha he ki "is it possible to design a rectangular park" toh iska ans qese toh no hona chahiye but technically a square is also a rectangle with all of its sides equal toh iska ans yes or no dono ho skta h

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2:01:27 sir because then the a will become zero and in a quadratic equation the a cannot be zero according to the general form

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Basic vala hai kya koi😂

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me 😁

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Yes

[@CRICKETEXPLAINERYT]

2:06:09 2x²+0x-800 2x²+40x-40x-800 (2x²+40x)+(-40x-800) 2x(x+20)-40(x+20) (2x-40) (X+20) 2x-40= 0 x= 40/2= 20 😂 sahi h na

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Bhai basic maths ke liye to ncert hi shi rahega na ?? Mujhe itna confusion hai ki kya batau 😂 sabka live session dekh ke wapas aa gayi kisi ka live 7 ghante se Kam hai hi nhi 🥹 Isi wajh se bus ncert kar Rahi hu par dar lag raha hai ki agar hard aa Gaya tab to moye moye ho jayega 🙃

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2:01:33 Because A Quadratic equation has ax² + bx + c = 0 Conditions Where a ≠ 0 in this equation Kx² + 2Kx + 6 = 0 Where the values of K are K=0 and K=6 but According to the rule of Quadratic Equation a≠0 but here K=a so the value of k is 6 k=6 k≠0

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Kl kis kis ka test hai ishi chapter ka

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@@user-tu8xe4es2z same test also tomorrow

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Mera bhi test hai test ke 1 hour pahle dekh rahi hu

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Sir i have one question...... whenever we need to find the product and sum of an equation 50:33 we have to multiply like that only?.....for every eqn

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Bro you better watch a video on middle term splitting!!! Cause it's basic what are you asking

[@this8006]

Ex 4.2 ques 5 solu x =12 (base) hypo =5cm

[@suhanitanwar08]

D=0 it means roots are equal 2:13:17 and the length and breadth is 20m

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Literally it's soo irritating to simply the sum and then find it's quadratic or not 😮‍💨😵‍💫

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Same same bro 😅

[@NatashaMishra-s5k]

2:01:31 because if k is equal to 0 then according to the standard form of quadratic equation ax + bx + c =0 whera a is not equal to zero and here kx where k is the. Value of A😊 Am I right?

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2:14:35 d=0

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Sir ab maths aapke bina kisi aur teacher se padhne ka Mann nahi karta

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K can't be zero because. If k is zero then equation become linear equations because 4k=O if k=0

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MERA BHI

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Sem sem

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[@shrutivish-gc8jf]

2:00:51 a is not equal to zero because when we put a is equal to zero then the term of x² will eliminated so it becomes linear equation not a quadratic equation

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Disclaimer: This teacher can make you topper in maths so do it on your own risk .

[@onlygaming9984]

2:01:34. because if k is equal to 0 then according to the standard form of quadratic equation ax+bx+c=0 where a is not equal to 0 and here kx is the value of k

[@yavibaliyan2187]

Thanku sir for this amazing session ❤ waiting for trigonometry 🌼🍁

[@AksharaShah-m4e]

2:01:16 as a can not be equal to 0 this why we don't pick up 0 in quadratic equation.

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Mere september mid tak sllybus complete ho jayega aramse phir aramse revision karunga 2 mahine acchese phir pyq , sample paper, question banks or answer writing practice , questions approach or comepetency based questions practice karunga ❤ Batch 2024-25 Me self study karta hu youtube se Btw mere school me attendance ka jhol nhi hai teachers ne bola hai ap apne convenience ke hisab se padh sakte hai.. vo parents ko har week phone karke poochte hai ki me padh ra hu gharpe ya moj mar raha hu , but me padhta hi hu 😂😂 12 hours a day productivity 10 hours ki to hoti hi hai ❤ Yar mujhe maths or science or language me dikkat nhi ati , maths or science to favourite hai but sst acche se esi tesi karti hai meri 😢 but koi na digraj sir zindabad ❤

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Bhai kya sach mai yt se study karne se hum ko ache marks mil jayenge

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Ye kya bat kardi apne , ofcource mil jayenge me pichle 3 saal se youtube se padh raha hu, mujhe lagta hai esi koi cheez nhi hai jo school me cover karate ho or yt per nhi karate ho, infact youtube per jyada acche se karate hai , ager apko pyq , sample paper ya kuch or bhi karna hai to google pe easily milta hai free of cost. Phir paisa kyu lagana ,my parents are very proud ki me unka school fees or stationary ke alava ek paisa Kharch nhi Kara raha , btw I got 98.4% in class 9th , ha me starting se hi serious hu padhai ko leke isliye jyada mehnat nhi Karni padh rahi , it's quite easy for me , but ager ap abhi start Kar Rahe ho phir bhi hardwork is always >>>>>>>>>than talent ❤all the best ​@@ZehraBhat-ju7yn

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Whenever sir says "samajh mein nahin a raha hai sir" So we understood that sir knows what we know and what we don't😊

[@braineducation9514]

2:01:25 k can't be 0 because k ki value 0 rkhne pr 1st term 0 ho jaayegi aur ye equation quadratic equation nhi hogi

[@red0550]

2:00:40 -because a^2 not equal to 0

[@harshitkesharwani371]

1:35:28 x=12 and X-7 = 5

[@Butterfly_729]

𝐉𝐀𝐘 𝐒𝐇𝐑𝐄𝐄 𝐑𝐀𝐌❤️🚩

[@Sagar_Shrama76]

Sir 'K' can't be Zero becuase If 'k' is Zero then It doesn't not remain In the form of Quda. Equation that is why 'k' doesn't bee zero

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Ritik sir is a best math teacher of world

[@MCplayerOG]

2:01:01 because if we but value of k = 0 , equation after simplifying will became 6=0 which is not possible

[@mahakalbablupatel]

jai shree ram

[@LP-Shorts-Unique]

2:01:29 Sir k zero isliye nhi ho sakta kyunki agar k 0 ho gya to constant zero ke equal thodi ho jayega If k=0 kx(x-2)+6=0 k(0)(0-2)+6=0 0+6=0 It is 🚫 possible

[@ManmeetSingh-er4vc]

Can be reason but I think if a=0 ho to quadratic equation thori rhegi 😅

[@nehatrendinghub]

1:35:34 x=-5,12

[@Saima25511]

2:01:36... Why k is not equal to zero? Answer: If k (coefficient of x2=0 ,Then it result in formation of linear equation not quadratic...

[@RajeshPrajapati-lc2mj]

Jab mai ritik sir se padhta hu to confidence aa jaata h 😊😊

[@Aryanmaurya-c5i]

1:31:37 H.w 13and -14

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[@Aryanmaurya-c5i]

2:01:29 because a=not zero 😊

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Mind blowing sir❤

[@darshitgupta1184]

1:42:10 pr aapne galat kiya h 90 ko x^2 ke coddecient k sath multiply krege na ki x ke to iska shi hoga -180 naki -270...

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Mai 11th mai hu but mujhe phirse aana par rha hai (improvement exam) Padh lo 10th walo

[@yudhbirsingh7746]

Same

[@yudhbirsingh7746]

Kitna hai percent

[@FF_Titanic_Gamer]

4.2 questions no. (4) Ans x=-13,x=14 aaya sir

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45:37 sir samaj nahi aa ra 😢😢

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Sir two consecutive positive integers is -14,13

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Basic hu 😅

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Us sis us

[@meer_saniya1823]

Thanku so much sir.. but sir I want to say that in question 2nd we have to apply formula or by splitting middle term to get the answer.. our skol teacher says that without using formula or spiliting middle term.. you get no number.. sir is it right..? Plxx tell me sir.. but on KZbin I have seen many vedioes but no one uses formula..( confusion)

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Kon kon ajj subha subha dekh raha hai Mere tarah 00:17 pr

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tere kitne baap

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​@ANIYOUplayz abe tu pagal hai?

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[@5anishq12]

Bbest maths teacher in a world 😊😊 thankyou sir for explain very well this chapter

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Kis kis ka syllabus abhi tak complete nhi hua

[@Riyz_IITbombay]

😢

[@rekhakumawat8717]

Ex 4.2 ques 4 ans- 13 and 14 Ex 4.2 ques 5 ans- 12 and 5

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Bhai basic liya hu bas ncert karu

[@Harsh-gt1nh]

Us

[@BhatAbass-06]

Mara syllabus abhi incomplete hai kuch samajh nahi aa raha hai😢

[@AttitudeKing-sz5uh]

Thank you so much sir Sir board ka exam hum log ka hai aor aap hum logo ke liye kitana mehnat kar rhe hai 😢😢😢 Love you sir ❤❤❤❤❤❤❤❤❤❤❤

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Sir, you are great math teacher. ❤❤❤🎉

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10 march assembler here 😂

[@AshishYadav-zh4ic]

1:35:25x=12, x=-5

[@jyalord]

Sir ❤ is very useful for us ❤🎉

[@bullgameff7755]

When rohan watching this video😂😂😂😂

[@CricketLover-sx6xm]

kyo ki question me real root nikalna hai is liye k = 0 nhi ho sakta 2:01:38

[@Swatikr15]

Yarr Abh bhutt deri ho gyi Pure saal hmne bs time waste Kiya abh kya hii hoga 😞💔 Next time esi glti kvi nhi krege (Promiss to yourself)

[@abhinavraj3620]

I promise bro 😢

[@rauthanneeraj8767]

Bhai rona ara h science ko dekh ke😢

[@Swatikr15]

@@rauthanneeraj8767 backlog hai kya Bhai 😓😣

[@rauthanneeraj8767]

@@Swatikr15 bruh mere jo halt ho gayi h na bhai depression se demotivation se kya btau bhai padhi nahi ho rahi h soch m padh ja Raha hun kya hoga fail toh nahi ho jao ga agr fail hogya na bhai mne toh soch liya h jehr kha lunga or maar jaao ga ya ghar se bhag jaao ga 💔😭😭

[@Avisha17209]

​@@rauthanneeraj8767 pass hogya aap ?

[@KajalYadav-gv8mu]

Because a is not equal to zero therefore k is not equal to zero

[@aadiyadav_77]

2:01:35 k can not be zero bcz sir told that valueof a in any quadratic equations can not be zero ❤

[@EspeciallyMe19]

Exactly 😊

[@Sukhkeerat-f5n]

K is not 0 as when we put in value 6= not equal to zero