Equations of Tangents to Circles (Complete Grade 9 Lesson) | Grade 9 Playlist | GCSE Maths Tutor

[@TheGCSEMathsTutor]

💡Revision videos: 💎 The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - kzbin.info/www/bejne/bnKWlKWngMdkaas 💎 Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - kzbin.info/www/bejne/pWq5po2eeNaFaLc If anyone would like to support the channel you can buy me a coffee ☕️ here: www.buymeacoffee.com/gcsemathstutor Check out the new shop 👕 here: the-gcse-maths-tutor.myspreadshop.co.uk/ Thank you for all of your support! 😁🙏🏼

[@HMS-xf9dq]

i literally love you so much you and freesciencelessons should get a knighthood for being education legends

[@seni4164]

I misread that as kidnapped and got confused

[@searchlunasbox]

@@seni4164HELP

[@civilisedhumanbeing]

@@seni4164 lol

[@terabaaphun2903]

@@seni4164 wtffff

[@Blue08326]

REAL I watch both of them

[@estheromoyele3321]

Doing my first maths GCSE in one hour- thank you sooooo much for all the work you do- I feel so ready!!!

[@Charlie-216]

Ye me too

[@00_The_Black_Swordsman]

what did you get? doing my gcses this year

[@seanbaxter44]

@@00_The_Black_Swordsman same

[@fa1leas766]

what were ur results?

[@jamsi1066]

@@00_The_Black_Swordsman yo same

[@infinity8362]

ive never understood this topic, thank you so much i feel so much more confident with these questions now :) 🙏

[@TheGCSEMathsTutor]

I’m so glad to hear that! It’s a tough topic 😁🙏🏼

[@Lovejoy565]

How many marks would this be on an exam paper?

[@thegreatgojousatoru5846]

@@Lovejoy565 probs a 5 or 6 marker

[@rKaraa]

this topic was always that 1 topic i wouldnt ever revising for as i never understood it. but after a while of watching unhelpful yt vids about this topic i came across your video and i can proudly say that i understand this topic fully!!. thank you so much sir, you dont know how much of a help you are to gcse students

[@IsmaeelRashid-q2y]

its the easiest though vector proof geometry questions are the most difficult topic in the grade 9 category for me at least like when the question wants you to write like for example find the ratio FP:PM. these circle equations are soo easy Like I say its a grade 7 topic

[@tpiano1165]

Last night, I made a comment and you had 74.4k Subscribers I just came back to your channel, and you now have 74.7k Subscribers! Wow keep it up!

[@TheGCSEMathsTutor]

Oh wow!! Great news I’m hitting subscriber numbers I never imagined!! Thank you for the kind words 😁🙏🏼

[@tpiano1165]

@@TheGCSEMathsTutor 75.2k now! It's shooting up! I have a question about GCSE's in general. Currently I am in year 9, and i really love maths and want to learn GCSE content, but I don't know which topics to start with and how to practice them. Can you please offer a little bit of advice on how to get started? Many thanks!

[@TheGCSEMathsTutor]

@@tpiano1165 Ahhh wow it’s really shooting up! 😁 If I were you, and it’s not a quick task.. I would work through this video: kzbin.info/www/bejne/bnKWlKWngMdkaas once you have done that, write down all the topics you need to work on and use the individual lesson videos in the description to work on any weaker/missing areas! Once you have done that and you are confident with those topics 1) you will have an amazing grounding of mathematics up to and including the grade 5 topics, and 2) you will be perfectly set and ready to start the next topics from grade 6-9 😁🙏🏼 Hope this helps!

[@tpiano1165]

@@TheGCSEMathsTutor Thank you for the quick reply! You have given me the motivation and self-drive to do well in maths! I shall keep you updated on this thread of how I am doing. I will save this video so I know where to go and comment! Your videos are soooo helpful and never stop making them, and carry on what you are doing. No disrespect to them, but you're better than HegartyMaths, CorbettMaths, PrimroseKitten, MathsGenie and all other maths channels combined. I wish you a good health to you and your family and friends. Now, let's start that video!

[@tpiano1165]

@@TheGCSEMathsTutor Just to say you nearly have 80K! The maths progress is going really well, just finished the 5 hardest algebraic fractions questions!

[@alexandriakelly3401]

explained it really well, thank you!

[@yusra0308]

Hey im in year 9 and I've always had a keen interest for maths your channel really helps me go the extra mile so Im really grateful. Could you make a playlist of difficult topics that we could watch and do you reccomend any resources im currently using corbettmaths worksheets! Thankyou for all you efforts!

[@finnrattray]

For the last question, I rationalised the denominators which also led the answer to look a lot neater. Would it still be accepted? Also I just came across your channel preparing for next set of mocks and I have to say it looks really useful and I will use it many more times before the summer exams.

[@mustachioisbae]

I did the same, and you would always get the mark for an equivalent answer, unless the question states to put your answer in a specific format

[@lulu-mk6ci]

same

[@hamonthunder2740]

Yeah

[@Deltrixx_X]

[3:20] I'm a bit confused, shouldn't the reciprocal of 4/3 be 3/4 as reciprocal technically just means flipping something over?

[@TheGCSEMathsTutor]

Absolutely correct! But when looking at perpendicular gradients we use the negative reciprocal as the gradient also changes from positive to negative or vice versa 😁🙏🏼

[@woknow9356]

Yh basically you divide the gradient by -1 for example -1 divided by 3/4 would be -4/3

[@zeneko888]

what i do is just flip the fraction and change the sign operation. for example, if we wanted to change 2 to reciprocal we would turn 2 into 2/1 since thats what it is in fraction form and then flip it and stick a negative sign before it. so -2/1.

[@宻]

@@zeneko888 welll technically the negative reciprocal is -1/2 not -2/1

[@zeneko888]

@@宻 my bad my method was wrong

[@DanHaines-kw3bl]

Instead of finding the perpendicular bisector gradient (tangent) to the radius by circle theorems, you can also use implicit differentiation to find the gradient/normal or parametric differentiation when the gradient function is set to -cotθ and plug θ value to find the gradient/normal. After that you plug in the coordinates into the straight line formula y-y1=m(x-x1) to find the equation of the tangent/normal.

[@TheGCSEMathsTutor]

Yes but certainly not at GCSE level! 😁🙏🏼

[@Boltai.]

Shi that's English?

[@Hadiis]

​@@Boltai. LMFAOODOSJKJD 🤣🤣🤣🤣🤣

[@VedantKohli-l4h]

Thank you for your hard work ❤

[@TahsinRahman-hl9zh]

for the last question do you not need to rationalise the denominator?

[@ali_xcv_4010]

49:12 when added the square roots, shouldnt the denominator change to 4squareroot7?

[@ash-fr3eg]

no, in addition and subtraction it's only the numerators that you add/subtract

[@mznooo3857]

At 9:14 the change in y / change in c is 2/5 not negative 2/5

[@ayushseth2370]

At 9:13 isnt the change in y/change in x (2/-5) @TheGCSEMathsTutor

[@HelloGames-z4i]

Hi sir does one think that gsce will go ahead

[@neolight2922]

wdym? the exams or ....

[@HelloGames-z4i]

@@neolight2922 yes

[@TheGCSEMathsTutor]

Yes I don’t see any reason why they won’t 😁🙏🏼

[@neolight2922]

@@HelloGames-z4i they will take place until if omicron or covid cases rise.

[@MrPGPh]

why don't u minimize the GCSE MATHS TUTOR banner on top by a bit to have a slight bigger space to work with

[@TheGCSEMathsTutor]

Not a bad idea! Could of used that advice 250 videos ago 🤣🤦🏽

[@aaryan8654]

Surely you can differentiate them implicitly and find the tangent?

[@doobs857]

🤓

[@weezah]

its gcse calculus isnt taught mate

[@bilalmustafa5775]

@The GCSE Maths Tutor I am confusion, Why is it that at 9:10 you put the triangle lengths as 5 and -2 and not as -5 and 2?

[@zay3kh]

That is because it moves 2 down and 5 to the right resulting it to be -2 and +5

[@julkamikula1553]

how to find the gradient of the line AO

[@nidas4472]

Why isn’t the answer y=-4/5x +5 and 4/5 23:30

[@MrPGPh]

4:41 isn't 4 + 9/4 = 25/4? did it in a calculator and it also shows 25/4

[@virajmokashi9303]

simplify it.

[@MrPGPh]

@@virajmokashi9303 ah yh nvm put it as mixed fractions not simplifying

[@dil820]

is it likely to see a question like the last one on an actual exam?

[@ghostzr7006]

there is a good chance

[@AyeshaNadeem-v7k]

I think there is a mistake in the last question where line crosses the x axis the coordinates are (22,0). i also checked in desmos but can you please check it again and help me. it would be really helpful. thanks

[@AyeshaNadeem-v7k]

I am sorry I said the wrong question number. its the one before the last question. sorry can you check the second last question again.

[@asmaa1853]

Thank you

[@Zee123.]

if for question 2 you didnt simplify and got :y=-2/6x +6 4/6 is it correct

[@AkshatSanghavi-ci3ie]

As long as they're equivalent fractions, yes

[@Zee123.]

@ haha GCSEs finished long ago for me but thanks anyway

[@AkshatSanghavi-ci3ie]

@Zee123. Oh! How did they go?

[@adamraza7536]

are these new videos or re-uploads

[@TheGCSEMathsTutor]

Some of the recent videos are corrected videos for the new website release 😁🙏🏼

[@sharifsarkar7202]

But how about for questions for which the origin isn't (0,0)?

[@eye4702]

You would solve for x and y in the equation for example if it’s like (x+7)^2 + (y-8)^2 then x would be -7 and y would be 8

[@jerusha_jebanesan]

In GCSEs maths exams, the circle will always be based around the origin. So don't worry about that until alevels lol

[@Az.podcast]

How many marks are these questions

[@hjpp0639]

how many marks would this be in the exam?

[@TheGCSEMathsTutor]

4-5 😁🙏🏼

[@Lovejoy565]

Will it come up this year do you think ?

[@javeria192]

is this included in OCR 21st century higher

[@IsmaeelRashid-q2y]

listen we all know your clearly cramming in your revision which clearly is not a powerful tool because if you was really bothered for your academics success you will dive and research into your exam board specifications individually lazybones? oh by the way are you a watch? because I want to be your battery xD like get out of the 19th century man we aint doing gcse english language lol in terms of this video

[@Ari-bv9qr]

joke didnt bang the don commented that 7 months ago

[@ELLIPTICALWR]

towards the end when you was finding c you did (7/2 root 7) + (9/2 root 7)= 16/2 root 7. I thought it was 16/4 root 7

[@mistermusab8055]

38:23

[@mistermusab8055]

21:05

[@flamey7032]

exam tmrw wish me luck 😏😏

[@deathsoul4884]

first

[@TheGCSEMathsTutor]

🥇🥇🥇

[@AyeshaNadeem-v7k]

hi can you look over again at the last question I think there is a tiny winy mistake. where the line crosses the X axis the coordinates are (22,0) I also checked it on Desmos so can you please check it and tell me how you got (20,0)@@TheGCSEMathsTutor

[@ajjarmansoor5161]

song name?

[@wintrluvc]

‘over n over - not the king’ (look in desc)

[@r4sshai]

is this calc or non calc?

[@Ali83833]

Why these always gotta be so long man

[@TheGCSEMathsTutor]

Because I go over the entirety of the topic with multiple examples and fully walk through all the practice questions! The idea is that you can skip to the answer and if you get it right.. you don’t need to watch it, if you don’t then you have a full walkthrough! This topic would take 3-4 hours of teaching to cover in class so 50 minutes is significantly reduced, I could of course make a “click bait” video showing you one question and pretending that was enough but I would be doing you all a huge disservice😁🙏🏼

[@battymansam7172]

Got a 57/80 on a higher paper in class today,had some real fuckups to get that low score,but this grade 9 question was the only one I didn’t understand,turns out those 5 marks are fucking simple and I just hadn’t learnt it

[@chillx656]

You know 57/80 would be still be a solid 7 right? Really not that bad my guy. Just had to put that into perspective.

[@Trithyl]

@@chillx656 thats an 8

[@binladen34444]

HHHHHmjHHHHH