JEE MATHEMATICS MCQ: CIRCLES

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Analyzing +4 | -1

If circles

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

and

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

where

c \in R^{+}, a \neq 1

are such that one circle lies inside the other, then

View answer and explanation

Correct option: D

none of these

The correct answer is D (none of these) because the given conditions do not lead to any of the provided options for the range of 'a'.

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{\left( {{\alpha ^2}{x^2} - 2\alpha \mathrm{ }x + 1} \right)^{51}},

x

\left( {\alpha ,2{\alpha ^2}} \right)

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

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

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\left( {{x_1},{y_1}} \right)

\quad \alpha, \beta

\gamma

P, Q

x^2+y^2=1

A

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A P, A Q

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G P

\cos \alpha / 2, \cos \beta / 2

\cos \gamma / 2

x+y=6

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x+y=5

x-y=1

9 \pi