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JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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Analyzing +4 | -1

If

\mathrm{P}

and

\mathrm{Q}

are the points of intersection of the circles

x^{2}+y^{2}+3 x+7 y+2 p-5=0

and

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

then there is a circle passing through

\mathrm{P}, \mathrm{Q}

and

(1,1)

for:

View answer and explanation

Correct option: A

all except one value of

p

Option A (all except one value of

p

) is correct because the equation for

\lambda

is undefined for

p = -1

.

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x = 1

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

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Q

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