Class 11

10-1.Circle and System of Circles question bank (Maths)

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Q1.

The equation of the circle which touches both the axes and whose radius is $a$ is

(A)
$x^2 + y^2 - 2ax - 2ay + a^2 = 0$
(B)
$x^2 + y^2 + ax + ay - a^2 = 0$
(C)
$x^2 + y^2 + 2ax + 2ay - a^2 = 0$
(D)
$x^2 + y^2 - ax - ay + a^2 = 0$
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Q2.

The centres of the circles $x^2 + y^2 = 1$,$x^2 + y^2 + 6x - 2y = 1$ and $x^2 + y^2 - 12x + 4y = 1$ are

(A)
Same
(B)
Collinear
(C)
Non-collinear
(D)
None of these
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