Home
Class 12
MATHS
. A straight line touches the rectangul...

. A straight line touches the rectangular hyperbola `9x^2-9y^2=8` and the parabola `y^2= 32x`. An equation of the line is

A

`9x+3y-8=infty`

B

`9x-3y+8=0`

C

`9x+3y+8=0`

D

`9x-3y-8=0`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Example|7 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|1 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

The straight line x+y=sqrt2P will touch the hyperbola 4x^2-9y^2=36 if

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then lambda =

The equation of the common tangent touching the circle (x-3)^2 +y^2=9 and the parabola y^2 = 4x above the x-axis is :

For the hyperbola 4x^2-9y^2=36 , find the Foci.

The slope of the line touching both the parabolas y^2=4x and x^2=−32y is

The latus rectum of a hyperbola 9x^(2) - 16y^(2) + 72x-32y-16 = 0 is :

If the values of m for which the line y=mx+2sqrt(5) touches the hyperbola 16x^(2)-9y^(2)=144 are the roots of the equation x^(2)-(a+b)x-4=0 , then the value of a+b is