JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

1 Easy

1 of 1

Analyzing +4 | -1

A circle

C

touches the line

x = 2y

at the point (2, 1) and intersects the circle

{C_1}:{x^2} + {y^2} + 2y - 5 = 0

at two points

P

and

Q

such that

PQ

is a diameter of

{C_1}

. Then the diameter of

C

View answer and explanation

Correct option: A

7\sqrt 5

Option A (

7\sqrt 5

) is correct because it is the diameter of the circle C, which is found by using the condition that the common chord PQ is a diameter of circle C1.

More Questions from SYSTEM OF CIRCLES

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x = 1

{x^2} + {y^2} = 4

{x^2} + {y^2} + 8y - 4 = 0

{x^2} + {y^2} + gx + 4 = 0

x^2+y^2+3 x+2 y+1=0

x^2+y^2+3 x+4 y+2=0

{x^2} + {y^2} + 2ky + 2x + 6 = 0

{x^2} + {y^2} + 2ky + k = 0

k

x^2+y^2+2 a x+c y+a=0

x^2+y^2-3 a x+d y-1=0

P

Q

5 x+b y-a=0

P

Q

x + 2y - 3 = 0

{x^2} + {y^2} - 4y + 1 = 0

{x^2} + {y^2} - 4x - 2y + 4 = 0