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Two straight lines are perpendicular to each other. One of them touches the parabola `y^(2) =4a ( x+a) `, and the other touches `y^(2) =4b (x+ b) . ` Then locus of point of intersection of two lines is

A

x+a=0

B

x+b=0

C

x+a+b=0

D

x-a-b=0

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The locus of the point of intersection of two tangents to the parabola...

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  2. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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  3. Two straight lines are perpendicular to each other. One of them touche...

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  4. The locus of the point of intersection of tangents to the parabola y^(...

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  5. The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The po...

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  6. Through the vertex O of the parabola y^(2)=4ax a perpendicular is draw...

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  7. If M is the foot of the perpendicular from a point P on a parabola to ...

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

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  9. The locus of foot of perpendicular from the focus upon any tangent to ...

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  10. The length of the perpendicular from the focus S of the parabola y^(2)...

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  11. The number of tangents to y^(2)=2x through (1,2) is

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  12. The number of tangents to y^(2)=6x through (-1,-1) is

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  13. If the ends of a focal chord of the parabola y^(2)=4ax are (x(1),y(1))...

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  14. If (x(1), y(1)) and (x(2), y(2)) are the end points of a focal chord o...

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  15. The point of intersection of the tangents at t(1) and t(2) to the para...

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  16. The slope of a chord of the parabola y^(2)=4ax which is normal at one ...

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  17. On the parabola y^(2)=8x if one extremity of a focal chord is (1//2,-2...

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  18. A focal chord of the parabola y^(2)=4ax meets it at P and Q . If S is...

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  19. The latusrectum of a parabola whose focal chord is PSQ such that SP =3...

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  20. The circle described on any focal chord of a parabola as diameter touc...

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