For the curve y=f(x) at `(x_(1),y_(1))` the intercept made by the normal on the y -axis is

Let f:(0,oo)R be a continuous,strictly increasing function such that f^(3)(x)=int_(0)^(0)tf^(2)(t)dt. If a normal is drawn to the curve y=f(x) with gradient (-1)/(2), then find the intercept made by it on the y-axis is 5(b)7(c)9(d)11

Find the intercept made by the line y=x on the curve y

Find the intercept made by the line y=x on the curve y=x^(2)

Find the intercept made by the line y=x on the curve y=x^(3)

At any point on the curve (a)/(x^(2))+(b)/(y^(2))=1, the y-intercept made by the tangent is proportional to

Does there exists line/lines which is/are tangent to the curve y=sin x at (x_(1),y_(1)) and normal to the curve at (x_(2),y_(2))?

If length of tangent at any point on the curve y=f(x) intercepted between the point and the x -axis is of length l. Find the equation of the curve.

Let C be a curve y=f(x) passing through M(-sqrt(3),1) such that the y-intercept of the normal at any point P(x,y) on the curve C is equal to the distance of P from the origin.Find curve C

Let a_1" and "b_1 be intercepts made by the tangent at point P on xy=c^2 on x-axis and y-axis and a_2" and "b_2 be intercepts made by the normal at P on x-axis and y-axis. Then

If length of tangent at any point on th curve y=f(x) intercepted between the point and the x -axis is of length 1. Find the equation of the curve.