Home
Class 12
MATHS
If the length of the subnormal of a curv...

If the length of the subnormal of a curve is constant and if it passes through the origin, then the equation of curve is ____

A

`x^(2)+y^(2)=k^(2), k in R`

B

`y^(2)=kx, k in R`

C

`x^(2)= ky^(2), k in R`

D

`x^(2)-y^(2)= k^(2), k in R`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The graph of 5x-4y=0 passes through the origin.

If the length of the subnormal at any point of the curve is constant, then the eccentricity of this curve is ………. .

Find the equation of the normal to the curve x^(2)=4y which passes through the point (1, 2).

If the graph of equation ax+by=c passes through the origin, what is the value of c ?

A curve passes through (2, 1) and is such that the square of the ordinate is twice the rectangle contained by the abscissa and the intercept of the normal. Then the equation of curve is

A curve C has the property that if the tangent drawn at any point P on C meets the co-ordinate axis at A and B , then P is the mid-point of A Bdot The curve passes through the point (1,1). Determine the equation of the curve.

Find the equation of a line parallel to X- axis and passing through the origin.

Equation of the circle with centre on the Y - axis and passing through the origin and the point (2,3) is ……

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