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The equation of the common tangent to eq...

The equation of the common tangent to equal parabolas `y^(2)=4ax` and `x^(2)=4ay` is

A

x-y=a

B

x+y=a

C

x+y+a=0

D

x+y-a=0

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-PARABOLA -MULTIPLE CHOICE QUESTION (LEVEL II)
  1. We are given with two ends of the latus rectum of a parabola then...

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  2. A double ordinate of the parabola y^(2)=8ax of length 16a the angle s...

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  3. The equation of the common tangent to equal parabolas y^(2)=4ax and x^...

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  4. The circle x^(2)+y^(2)+2kx=0 k in R touches the parabola y^(2)=4x ext...

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  5. If the polar of the circle x^(2)+y^(2)=9 is always touching the para...

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  6. Angle substended by the latus rectum at the origin is

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  7. A ray of light moving parallel to x axis gets reflected from a parab...

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  8. Range of values of k for which the point (k-1) is exteriro to both ...

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  9. If PQ is a focal chord of the parbola y^(2)=4ax with focus at s th...

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  10. The point (a,2a) is an interior point of the region bounded by the ...

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  11. Locus of the middle points of parallel chords of a parabola x^(2)=4a...

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  12. The tangent to a parabola at the vertex A and any point P meet at Q ...

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  13. The tangents at three points A,B,C on the parabola y^(2)=4x taken in ...

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  14. AB is a chord of a parabola y^(2)=4ax with the end A at the vertex ...

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  15. The point of intersection of the tangents to the parabla y^(2)=4x at ...

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  16. If the tangents at (x(1),y(1)) and (x(2),y(2)) to the parabola y^(2)=4...

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  17. If b and c are the length of the segments of any focal chord of a para...

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  18. If the focus of a parabola divides a focal chord of the parabola in s...

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  19. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

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  20. The locus of the mid point of the line segment joining the focus to a...

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