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Question
Write the length of the intercept made by the circle x2 + y2 + 2x − 4y − 5 = 0 on y-axis.
Solution
Since the intercept lies on the y-axis, by putting x = 0 in the given equation, we get:
\[y^2 - 4y - 5 = 0\]
\[\Rightarrow y = - 1, 5\]
Thus, the length of the intercept on the y-axis is (5 + 1) = 6 units.
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