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Question

The given circle x2+y2+2px=0, pϵR touches the parabola y2=4x externally, then

A
p < 0
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B
p > 0
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C
0 < p < 1
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D
p < - 1
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Solution

The correct option is B p > 0
Centre of the circle is (- p, 0), If it touches the parabola, then according to figure only one case is possible. Hence p > 0

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