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Circle question

2005 · Shift 0 · Q105

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PYQ Library
JEE Main
Mathematics
Circle
2005 · Shift 0 · Q105

Circle question

2005 · Shift 0 · Q105

JEE MainMathematicsCircleMCQ+4 / −1

If the circles

{x^2}\, + \,{y^2} + \,2ax\, + \,cy\, + a\,\, = 0

and

{x^2}\, + \,{y^2} - \,3ax\, + \,dy\, - 1\,\, = 0

intersect in two ditinct points P and Q then the line 5x + by - a = 0 passes through P and Q for :

A
exactly one value of a
B
no value of a
C
infinitely many values of a
D
exactly two values of a

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