SaraNextGen.Com


The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point contact. Also curve passes through the point (1, 1). Then the length of intercept of the curve on the -axis is


Question ID - 153320 | Toppr Answer

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point contact. Also curve passes through the point (1, 1). Then the length of intercept of the curve on the -axis is

1 Answer - 5876 Votes

3537

Answer Key : (2) -

(2)

Equation of tangent is  perpendicular distance from origin is

 from (0,0)

       (1)  (Homogeneous)

Put  in (1)

Passes through (1,1), then

For intercept of curve on x-axis, put

We have  or

Hence length of intercept is 2



SaraNextGen