JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

1 Easy

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Analyzing +4 | -1

If the circles

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

and

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

intersect in two distinct points

P

and

Q

, then the line

5 x+b y-a=0

passes through

P

and

Q

for

View answer and explanation

Correct option: B

no value of

a

Option B (no value of

a

) is correct because the condition for the line

5x + by - a = 0

to pass through the intersection points P and Q leads to a quadratic equation with no real solutions for

a

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 + 2y - 3 = 0

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

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

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