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 |
(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