Home
Class 12
MATHS
The curve for which the ratio of the len...

The curve for which the ratio of the length of the segment intercepted by any tangent on the Y-axis to the length of the radius vector is constant `(k),` is

Text Solution

Verified by Experts

The correct Answer is:
`(y+sqrt(x^(2)+y^(2)))x^(k-1)=C_(1)`
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

The curves for which the length of the normal is equal to the length of the radius vector is/are

Find the curve for which the intercept cut off by any tangent on y-axis is proportional to the square of the ordinate of the point of tangency.

Find the curve for which area of triangle formed by x-axis, tangent drawn at any point on the curve and radius vector of point of tangency is constant, equal to a^2

Find the equation of all possible curves such that length of intercept made by any tangent on x-axis is equal to the square of X-coordinate of the point of tangency. Given that the curve passes through (2,1)

The maximum value of the sum of the intercepts made by any tangent to the curve (a sin^(2)theta, 2a sin theta) with the axes is

Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on the x-axis.

The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to a is