Q.

The equation of the common tangent touching the circle (x−3)2+y2=9  and the parabola y2=4x  above the x-axis is

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a

3y=3x+1

b

3y=−(x+3)

c

3y=x+3

d

3y=−(3x+1)

answer is C.

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Detailed Solution

y=mx+1m  touches the circle 3m+1mm2+1=±3 (3m2+1)2=9m2(m2+1) 3m2=1  or m=±13 y=x3+3⇒3y=x+3
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The equation of the common tangent touching the circle (x−3)2+y2=9  and the parabola y2=4x  above the x-axis is