Duration: 12:14

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Match the column
Column - I
Column - II
P
(a) Number of values of a for which the
\( (p) 4 \)
W common chord of the circles
\[
x^{2}+y^{2}=8 \text { and }(x-a)^{2}+y^{2}=8
\]
subtends a right angle at the origin is
(b) A chord of the circle \( (x-1)^{2}+y^{2}=4 \)
\( (q) 2 \)
lies along theline \( y=22 \sqrt{3}(x-1) \).
The length of the chord is equal to
(c) The number of circles touching all the
\( (r) 0 \) three lines \( 3 x+7 y=2,21 x+49 y=5 \) and \( 9 x+21 y=0 \) are
(d) If radii of the smallest and largest circle
(s) 1 passing through the point \( (\sqrt{3}, \sqrt{2}) \) and touching the circle \( x^{2}+y^{2}-2 \sqrt{2} y-2=0 \) are \( r_{1} \) and \( r_{2} \) respectively, then the mean of \( r_{1} \) and \( r_{2} \) is
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