Home
Class 11
MATHS
If the lines 2x + 3y + 1 = 0 and 3x - y-...

If the lines 2x + 3y + 1 = 0 and 3x - y-4 = 0 lie along two diameters of a circle of circumference `10 pi`, then the equation of circle is (i) `x^(2) + y^(2) + 2x + 2y + 23 = 0 ` (ii) ` x^(2) + y^(2) - 2x - 2y - 23 = 0 ` (iii) ` x^(2) + y^(2) - 2 x + 2y - 23 = 0 ` (iv) `x^(2) + y^(2) + 2x - 2y + 23 = 0 `

A

`x^(2) + y^(2) + 2x + 2y + 23 = 0 `

B

` x^(2) + y^(2) - 2x - 2y - 23 = 0 `

C

` x^(2) + y^(2) - 2 x + 2y - 23 = 0 `

D

`x^(2) + y^(2) + 2x - 2y + 23 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10 pi , then the equation of the circle is

If the lines x+y+3=0 and 2x-y-9=0 lie along diameters of a circle of circumference 8pi then the equation of the circle is :

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameter of a circle of circumference 10pi , then show that the equation of the circle is x^(2)-y^(2)-2x+2y-23=0

If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle of area 49pi square units, the equation of the circle is:

Let circle cuts ortholognally each of the three circles x^(2) + y^(2) + 3x + 4y + 11 = 0, x^(2) + y^(2) - 3x + 7y - 1 = 0 and x^(2) + y^(2) + 2x = 0

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

The locus of the mid-point of a chord of the circle x^2 + y^2 -2x - 2y - 23=0 , of length 8 units is : (A) x^2 + y^2 - x - y + 1 =0 (B) x^2 + y^2 - 2x - 2y - 7 = 0 (C) x^2 + y^2 - 2x - 2y + 1 = 0 (D) x^2 + y^2 + 2x + 2y + 5 = 0

Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in the line x+y-2=0

Find the equation of the tangent to the circle x^(2) + y^(2) - 2x + 8y - 23 = 0 at the point P(3, - 10) on it.

Coordinates of the centre of the circle which bisects the circumferences of the circles x^2 + y^2 = 1; x^2 + y^2 + 2x - 3 = 0 and x^2 + y^2 + 2y-3 = 0 is