Home
Class 12
MATHS
Determine all curve for which the ratios...

Determine all curve for which the ratios of the linght of the sagment intercepted by tangent on the y-axis to the length of the radius vector is a constant.

A

`(y+sqrt(x^(2)-y^(2)))x^(k-1)=c`

B

`(y+sqrt(x^(2)+y^(2)))x^(k-1)=c`

C

`(y-sqrt(x^(2)-y^(2)))x^(k-1)=c`

D

`(y-sqrt(x^(2)+y^(2)))x^(k-1)=c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

A curve passing through (1, 0) is such that the ratio of the square of the intercept cut by any tangent on the y-axis to the Sub-normal is equal to the ratio of the product of the Coordinates of the point of tangency to the product of square of the slope of the tangent and the subtangent at the same point, is given by

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 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.

The tangent to the curve y=e^(2x) at the point (0, 1) meets X-axis at :

Let C be the set of curves having the property that the point of intersection of tangent with y-axis is equidistant from the point of tangency and origin (0,0) If C_(3) in C C_(3): is passing through (2,4). If (x)/(a)+(y)/(b)=1. is tangent to C_(3) , then

Let C be the set of curves having the property that the point of intersection of tangent with y-axis is equidistant from the point of tangency and origin (0,0) If C_(1),C_(2) in C C_(1) : Curve is passing through (1,0) C_(2) : Curve is passing through (-1,0) The number of common tangents for C_(1) and C_(2) is

The Curve possessing the property text the intercept made by the tangent at any point of the curve on the y-axis is equal to square of the abscissa of the point of tangency, is given by

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.