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The common tangent to the parabola y^2=4...

The common tangent to the parabola `y^2=4ax` and `x^2=4ay` is

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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ARIHANT MATHS-PARABOLA-Exercise For Session 2
  1. IF 2x+y+lamda=0 is a normal to the parabola y^2=-8x , then the value o...

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  2. A normal chord of the parabola y^2=4ax subtends a right angle at the v...

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  3. The common tangent to the parabola y^2=4ax and x^2=4ay is

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  4. The circle x^2+y^2+4lamdax=0 which lamda in R touches the parabola y^...

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  5. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

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  6. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

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  7. The set of points on the axis of the parabola y^2-4x-2y+5=0 from which...

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  8. Prove that any three tangents to a parabola whose slopes are in harmon...

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  9. prove that the locus of the point of intersection of the tangents at t...

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  10. Find the equation of the normal to the parabola y^2=4x which is para...

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  11. Find the equation of the normal to the parabola y^2=4x which is perp...

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  12. The ordinates of points P and Q on the parabola y^2=12x are in the rat...

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  13. The normals at P, Q, R on the parabola y^2 = 4ax meet in a point on th...

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  14. The normals are drawn from (2lamda,0) to the parabola y^2=4x .Show tha...

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  15. If m1,m2 are the slopes of the two tangents that are drawn from (2,3) ...

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  16. The angle between the tangents drawn from the origin to the parabola y...

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  17. IF (a,b) is the mid point of chord passing through the vertex of the p...

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  18. The diameter of the parabola y^2=6x corresponding to the system of par...

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  19. Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The ...

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  20. for parabola x^2+y^2+2xy−6x−2y+3=0, the focus is (a) (1,-1) (b) (-1,1...

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