Equation of tangent to Circle x^2+y^2-8x-10x-128=0 IB Math GCSE

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This is very clear explained...i really love it ....because it will help me with the exam coming tomorrow.

OpaiGipints-wn
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Very helpful 🙏🙏🙏🙏🙏
cleared all the doubts Thanks a lot Anil sir

MirzaRaza-eb
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you're the you've explained excellently

jaycee
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thank you so much this man is saving lives

kalkidanyishak
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You're very smart at explanations thank you've really helped me 🙏🙏🙏

andrewkasonde
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To find center of a circle in standard form and general form like the one used in video, just take derivative w.r.t x or y term of circle.
For example: x²+y²-8x-10y-128=0
For center C(h, k), i need h so i will take derivative w.r.t x. So,
2x+0-8-0-0=0. (EVERYTHING except x will be treated as constant term) (remember it is for this scenario only that we treat y as constant and not y' )

2x=8. => x=4
For k, take derivative w.r.t y,
0+2y-0-10-0=0
2y=10. => y=5

Hope it helps.

ssgrazer
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Thank you very much sir I must say I enjoyed your lecturing, ❤❤❤ your English is amazing

johnterry
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Call me overly cautious, but I would first check that the desired point of tangency is actually on the circle (I checked. It is).

billharm
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Thankyou sir you explained very well🙏🏻

tejaswininegi
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Thank you Sir that was really helpful.

janetminong
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So does it mean that the equation of the normal line to the circle is the same as the equation of the radius

ODHIAMBOPETEROWINO
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dude you saved me, questions can we send fanmail?

thefrenchrevolution
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Sir, shall I use to get tangent equation directly from given circle equation by this way: x*{-8} + y*10 - 4{x-8} -5{y+10} -128=0 which implies 12x - 5y +146 = 0

bhumaiah
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Hello, I'm having a question which is more of the same like that but a bit different, . Find an equation of each tangent line drawn to from the point (5, 1) to the circle x^2 + y^2 = 14. Please I need my feedback.

JuanJuanes.A.K.A.YellowKhalifa
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Please sir how did you know that the tangent line will be drawn at that point

emmanuelcherepromise
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Hello sir .... please share few qs related circle .. which possibility comes in exams

ashayadav
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2x + 3y + 4)(2x + 3y – 5) = (ax2 + by2 + 2hxy + 2gx + 2fy + c) how we can find the value of a b h g f and c faster sir if you know then tell me in comment i get the answer sir please clear my doubt

sumeshrana
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-5² is + 25 right? The radius mas be the squareroot of 119

phetztalon
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Can you write the final equation starting with 'y' instead of '0' ?

title_g
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Sir it's y-5=12/5 (x-4)
Last step

sublime