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Equation of a common tangent to the circle x2+y2−6x=0 and the parabola, y2 = 4x, is

a.

2 y = 12 x + 1

b.

2 y = − x − 12

c.

y = x + 3

d.

 y = 3x + 1



Question ID - 56522 | SaraNextGen Top Answer

Equation of a common tangent to the circle x2+y2−6x=0 and the parabola, y2 = 4x, is

a.

2 y = 12 x + 1

b.

2 y = − x − 12

c.

y = x + 3

d.

 y = 3x + 1

1 Answer
127 votes
Answer Key / Explanation : (c) -

Let equation of tangent to the parabola y2 = 4x is y = mx+ ,

 m2x−ym+1=0 is tangent to x2+y2−6x=0

  =3

m =

 tangent are x+ y+3=0

And x− +3=0

127 votes


127