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Definition of Vector

The circle ...

Question

The circle $x^{2} + y^{2} - 10 x - 14 y + 24 = 0$ cuts an intercepts on $y$ -axis of length.

5

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10

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Solution

The correct option is A $10$
If circle $x^{2} + y^{2} - 10 x - 14 y + 24 = 0$ cuts an intercept on y-axis, then
Length of intercept $= 2 \sqrt{f^{2} - c}$
$= 2 \sqrt{49 - 24}$
$= 10$

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