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Find the equation of the common tangent ...

Find the equation of the common tangent of `y^2=4a x` and `x^2=4a y`.

A

x+y+a=0

B

x+y-a=0

C

x-y+a=0

D

x-y-a=0

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

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  2. The angle between the normals to the parabola y^(2)=24x at points (6, ...

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  3. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

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  4. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

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  5. The length of the subtangent to the parabola y^(2)=16x at the point wh...

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  6. if P is a point on parabola y^2=4ax such that subtangents and subnorm...

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  7. The normal to the parabola y^(2)=8ax at the point (2, 4) meets the par...

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  8. The graph represented by x=sin^2t, y=2cost is

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  9. The subtangent, ordinate and subnormal to the parabola y^2 = 4ax are i...

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  10. f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...

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  11. The equation of the parabola whose vertex is at(2, -1) and focus at(2,...

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  12. The ends of a line segment are P(1, 3) and Q(1,1), R is a point on th...

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  13. The vertex of the parabola y^2+6x-2y+13=0 is

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  14. The Cartesian equation of the directrix of the parabola whose parametr...

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  15. If the vertex of a parabola is (0, 2) and the extremities of latusrect...

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  16. A line L passing through the focus of the parabola (y-2)^(2)=4(x+1) in...

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  17. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whic...

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  18. If two tangents drawn from the point (alpha,beta) to the parabola y^2=...

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  19. The angle between the tangents drawn form the point (3, 4) to the para...

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  20. set of values of m for which a chord of slope m of the circle x^2 + y^...

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