Home
Class 12
MATHS
The tangent at any point on the curve x^...

The tangent at any point on the curve `x^(4)+y^(4)=a^(4)` cuts off intercepts p and q on the coordinate axes then the value of `p^(-4 / 3)+q^(-4 / 3)=`

A

`a^(-4//3)`

B

`a^(-1//2)`

C

`a^(1//2)`

D

a

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The abscissa of the point on the curve ay^(2)=x^(3) , the normal at which cuts off equal intercepts from the coordinate axes is

The intercepts of the plane 3 x+4 y-5 z-4=0 on the coordinate axes are

The length of the subnormal at any point(x,y) on the curve y^(2) = 4ax is

The tangent to the curve xy = 25 at any point on it cuts the coordinate axes at A and B , then the area of the triangle OAB is

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2,3).

The equation of the normal to the curve, y^(4) = ax^(3) at (a,a) is

Find the equation of the line which cuts off intercepts 7 and -4 on x and y-axes respectively.

Find the point P on the curve y^(2) = 4ax which is nearest to the point (11a, 0).

The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^(2)=4x is :

If any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes intercepts p and q on the axes then (a^(2))/(p^(2))+(b^(2))/(q^(2)) =