Circle 1 Question 22

22. For how many values of p, the circle x2+y2+2x+4yp=0 and the coordinate axes have exactly three common points?

(2017 Adv.)

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Solution:

  1. 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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