Home
Class 12
MATHS
The perpendicular from the origin to the...

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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The x-intercept of the tangent to a curve is equal to the ordinate of the point of contact. The equation of the curve through the point (1,1) is

Suppose a curve whose sub tangent is n times the abscissa of the point of contact and passes through the point (2, 3). Then

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Find the equation of the curve satisfying the above condition and which passes through (1, 1).

The curve in which the slope of the tangent at any point equal the ratio of the abscissa to the ordinate of the point is

There is curve in which the length of the perpendicular from the orgin to tangent at any point is equal to abscissa of that point. Then,

The slope of a curve art each of its points is equal to the square of the abscissa of the point.Find the particular curve through the point (-1,1) .

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .