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 |

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

**(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