Class 11

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

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Q1.

The lines $2x - 3y = 5$ and $3x - 4y = 7$ are the diameters of a circle of area $154$ square units. The equation of the circle is

(A)
$x^2 + y^2 + 2x - 2y = 62$
(B)
$x^2 + y^2 - 2x + 2y = 47$
(C)
$x^2 + y^2 + 2x - 2y = 47$
(D)
$x^2 + y^2 - 2x + 2y = 62$
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Q2.

$A$ circle touches the $y$-axis at the point $(0, 4)$ and cuts the $x$-axis in a chord of length $6$ units. The radius of the circle is

(A)
$3$
(B)
$4$
(C)
$5$
(D)
$6$
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