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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?

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?

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
576-1640_1.PNG
Arun
25758 Points
2 years ago
x2+y2+2x+4yp=0Case(I)(0)2+(0)2+0+0p=0Case(II)g2c=0f2c>01(p)=0p=14(p)>0p>4Case(III)f2c=04(p)=0p=4g2c>01(p)>0p>1
 Total 2 values of p, the circle and the co-ordinate have 3 common point.

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