Home
Class 12
MATHS
If one of the diameters of the circle, g...

If one of the diameters of the circle, given by the equation, `x^2+y^2-4x+6y-12=0` , is a chord of a circle S, whose centre is at `(-3,""2)` , then the radius of S is : (1) `5sqrt(2)` (2) `5sqrt(3)` (3) 5 (4) 10

A

`5 sqrt(3)`

B

5

C

10

D

`5 sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
1

Let `'r'` be the radius of circle S
`implies r= 5 sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE|Exercise JEE Advanced (Single Correct Answer Type)|14 Videos

  • CIRCLE

    CENGAGE|Exercise MATRIX MATCH TYPE|6 Videos

  • CIRCLE

    CENGAGE|Exercise Exercise (Numerical)|18 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Comprehension|11 Videos

  • CIRCLES

    CENGAGE|Exercise Question Bank|16 Videos

Similar Questions

Explore conceptually related problems

If one of the diameters of the circle x^2+y^2-2 x-6 y+6 =0 is a chord to the circle with centre at (2,1) then the radius of the circle is equal to.

If one end of a diameter of a circle 2x^2 + 2y^2 - 4x - 8y + 2 = 0 is (3,2), then the other end is

A line 4x-3y+20=0 cuts a chord of length 8 units on a circle with centre at (-2,-1) . Find the equation of the circle.

If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then find its radius.

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-6y-12 = 0 externally at a point (1, -1), then the radius of the circle C is :-

Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

Find the centre and radius of circles. (x+5)^(2)+(y-3)^(2)=36 .