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The locus of the point of intersection o...

The locus of the point of intersection of tangents to the parabola `y^2 = 4(x+1)` and `y^2 = 8(x+2)` which are perpendicular to each other is

A

` x+7=0 `

B

`x+3=0`

C

`x-y-4=0`

D

`x-y+12=0`

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The correct Answer is:
B
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Two tangents of the parabola y^2 = 8x, meet the tangent at its vertex ...

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  2. If the tangent at the point P (2,4) to the parabola y^2 = 8x meets the...

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  3. The locus of the point of intersection of tangents to the parabola y^2...

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  4. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

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  5. Ordinates of three points A,B,C on the parabola y^2 = 4ax are in G.P. ...

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  6. If the tangents at P and Q on a parabola meet in T, then SP, ST and SQ...

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  7. The tangent at P to a parabola meets the tangents at the vertex A in Q...

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  8. If b and c are the lengths of the segments of any focal chord of a par...

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  9. If b,c are the segments of a focal chord of the parabola y^2 = 4ax, t...

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  10. The latus rectum of a parabola whose focal chord PSQ is such that SP =...

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  11. If PSQ is focal chord of the parabola y^2 = 8x such that SP=6, then th...

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  12. If A1 B2 and A2 B2 are two focal chords of the parabola y^2 = 4ax the...

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  13. If a focal chord of the parabola be at a distanced from the vertex, th...

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  14. Tangents at the extremities of a focal chord of a parabola intersect o...

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  15. A circle drawn on any focal AB of the parabola y^(2)=4ax as diameter c...

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  16. The tangents at the points (at1^2,2at1), (at2^2, 2at2) on the parabola...

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  17. If two tanents drawn from a point P to the parabola y^2 = 4x are at ri...

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  18. If y+b=m1 (x+ a) and y+b=m2 (x+ a) are two tangents to the parabola y^...

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  19. Any two perpendicular tangents to a parabola intersect on the

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

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