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For how many values of p, the circle x^2...

For how many values of p, the circle `x^2+y^2+2x+4y-p=0` and the coordinate axes have exactly three common points?

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The correct Answer is:
2
The circle and coordinate axes can have 3 common points, if it passes through origin. [p=0]
If circle is cutting one axis and touching other axis.
Only possibility is of touching X-axis and cutting Y-axis [p=-1]
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