Home
Class 12
MATHS
The circle x^2+y^2-8x = 0 and hyperbola ...

The circle `x^2+y^2-8x = 0` and hyperbola `x^2 /9 - y^2 /4=1` intersect at the points A and B. Then the equation of the circle with AB as its diameter is

A

`x^(2)+y^(2)-12x+24=0`

B

`x^(2)+y^(2)+12x+24=0`

C

`x^(2)+y^(2)+24x-12=0`

D

`x^(2)+y^(2)-24x-12=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 10 : Subjective Type Questions|4 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 circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 intersect at points A and B. The equation of a common tangent with positive slope to the circle as well as to the hperbola is

The circles : x^2+y^2 - 10x + 16 =0 and x^2+y^2 =a^2 : intersect at two distinct points if :

The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two distinct points. Then

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , then find the equation of the circle on A B as diameter.

Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x . They intersect at P and Q in first and fourth quadrant respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S. The radius of the circumcircle of the triangle PRS is-

If y = 2x is a chord of a circle x^2+ y^2-10x = 0 , find the equation of the circle with this chord as diameter.

The intercept on line y = x by circle x^2 + y^2- 2x = 0 is AB. Find equation of circle with AB as a diameter.

Consider with circle S: x^2+y^2-4x-1=0 and the line L: y=3x-1 . If the line L cuts the circle at A and B then Length of the chord AB is

If the two circles (x-1)^2+(y-3)^2= r^2 and x^2+y^2-8x+2y+8=0 intersect in two distinct points, then :

Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-11=0 touch the circle at points A and B. The equation of the cricumcircle of triangle PAB is