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If the circles {x}^{{2}}+{y}^{{2}}+{2}{a}{x}+{c}{y}+{a}={0} an

Question

If the circles $x^{2} + y^{2} + 2 a x + c y + a = 0$ and $x^{2} + y^{2} - 3 a x + d y - 1 = 0$ intersects at points P and Q , then find the values of $a$ for which the line $5 x + b y - a = 0$ passes through $P a n d Q ˙$

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Theodore Discussed

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

intersects at points P and Q , then find the values of

a

for which the line

5 x + b y - a = 0

passes through

P a n d Q ˙

5 mins ago

Discuss this question LIVE

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Question Text

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

intersects at points P and Q , then find the values of

a

for which the line

5 x + b y - a = 0

passes through

P a n d Q ˙

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