Home
Class 12
MATHS
If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =...

If `4x^(2)+ py^(2) =45` and `x^(2)-4y^(2) =5` cut orthogonally, then the value of p is

A

`(1)/(9)`

B

`(1)/(3)`

C

`9`

D

`18`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|19 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

If ax^(2)+by^(2)=1 cut a'x^(2)+b'y^(2)=1 orthogonally, then

If curve y = 1 - ax^2 and y = x^2 intersect orthogonally then the value of a is

If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = 45 and the hyperbola 5x^(2) - 4y^(2) = 45 respectively , then ee' is equal to

Show that the curves x^2 + y^2 - 2x = 0 and x^2 + y^2 - 2 y = 0 cut orthogonally at the point (0,0).

If a circle Passes through a point (a,b) and cut the circle x^2+y^2 = 4 orthogonally,Then the locus of its centre is

If a circle passes through the point (a, b) and cuts the circle x^2+ y^2 = p^2 orthogonally, then the equation of the locus of its centre is :

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

If {:|(2,3),(4,5)| = |(x,3),(2x,5)| , then the value of 'x' is ………..