Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

The curve, with the property that the projection of the ordinate on the normal is constant and has a length equal to 'a', is

Options

Ax + a ( y ^2- a ^2 + y )= c
Bx+ a ^2- y ^2 = c
C(y-a)^2=c x
Da y= ⁻¹(x+c)

Correct answer

A. x + a ( y ^2- a ^2 + y )= c

Step-by-step solution

Ordinate = PM . Let P ( x , y ) Projection of ordinate on normal = PN PN = PM = a (given) y 1+ ^2 =a y=a 1+ (y₁ )^2 d y d x = y^2-a^2 a a d y y^2-a^2 = d x a |y+ y^2-a^2 |=x+c

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