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The normal at the point P( "at"1^2,2at1)...

The normal at the point `P( "at"_1^2,2at_1)` meets the parabola `y^2 = 4ax` again at Q `(at_2^2, 2at_2)` such that the lines joining the origin to P and Q are at right angle, then

A

`t_1^2 = 2 `

B

`t_2^2 = 2`

C

`t_1 = 2t_2`

D

`t_2 = 2t_1`

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The correct Answer is:
A
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ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the normal to the parabola y^2 = 4ax at the point P("at"^2 2at) c...

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  2. If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola aga...

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  3. The normal at the point P( "at"1^2,2at1) meets the parabola y^2 = 4a...

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  4. If a normal chord subtends a right angle at the vertex of the parabola...

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  5. If the normals at points 't1' and 't2' meet on the parabola, then

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  6. The equation of a normal to the parabola y=x^(2)-6x+6 which is perpend...

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

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  8. If the point (at^2,2at) be the extremity of a focal chord of parabola ...

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  9. A triangle ABC of area Delta is inscribed in the parabola y^2 = 4ax s...

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  10. The locus of the middle points of the focal chord of the parabola y^(2...

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  11. The locus of the poles of focal chords of the parabola y^2 = 4ax is

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  12. A focal chord of parabola y^(2)=4x .is inclined at an angle of (pi)/(4...

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  13. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

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  14. Find the locus of the mid-points of the chords of the parabola y^2=4ax...

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

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  16. If the normals any point to the parabola x^(2)=4y cuts the line y = 2 ...

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  17. The locus of the mid-points of the portion of the normal to the parabo...

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  18. Through the vertex O of a parabola y^2 = 4x chords OP and OQ are draw...

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  19. Tangents are drawn from any point on the line x + 4a=0 to the parabola...

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  20. A is a point on the parabola y^2 = 4ax The normal at A cuts the parabo...

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