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Mathematics-2017-->View question

By:Purnima

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|thegdx

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leo

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## The normal to the curve y(x – 2)(x – 3) = x + 6 at the point where the curve intersects the y-axis passes through the point :-JEE MAINS-Mathematics-2017

(1)(1/2,1/3)

(2)(-1/2,-1/2)

(3)(1/2,1/2)

(4)(1/2,-1/3)

By:Purnima

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|thegdx

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## Answers

y=x+6/(x-2)(x-3) Point of intersection with y-axis is (0,1).

y'=((x^2-5x+6)(1)-(x+6)(2x-5))/(x^2-5x+6)^2

y'= 1 at point (0, 1)

Slope of normal is –1

Hence equation of normal is x + y = 1

Thus,(1/2,1/2) satisfy it.

leo

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