Home
Class 12
MATHS
A point P moves such that the sum of the...

A point P moves such that the sum of the slopes of the normals drawn from it to the hyperbola `xy=4` is equal to the sum of the ordinates of feet of normals. The locus of P is a curve C.
Q. The area of the equilateral triangle inscribed in the curve C having one vertex as the vertex of curve C is

A

`8sqrt(3)` sq. units

B

`12sqrt(3)` sq. units

C

`27sqrt(3)` sq. units

D

`16sqrt(3)` sq. units

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

A point P moves such that sum of the slopes of the normals drawn from it to the hyperbola xy=16 is equal to the sum of ordinates of feet of normals.The locus of P is a curve C

A point P moves such that the sum of the slopes of the normals drawn from it to the hyperbola xy=4 is equal to the sum of the ordinates of feet of normals. The locus of P is a curve C. Q.If the tangent to the curve C cuts the coordinate axes at A and B, then , the locus of the middle point of AB is

If the sum of slopes of concurrent normals to the curve xy=4 is equal to the sum of ordinates of conormal points then locus of P is

If the sum of the slopes of the normals from a point P to the hyperbola xy=c ^(2) is constant k (k gt 0), then the locus of point P is

three normals are drawn from the point (14,7) to the curve y^(2)-16x-8y=0. find the co- ordinates of the feet of the normals.