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If a normal chord subtends a right angle...

If a normal chord subtends a right angle at the vertex of the parabola `y^2 = 4ax`, then it is inclined to the axis at an angle

A

`pi//2`

B

`pi//4`

C

`tan^(-1)sqrt3`

D

`tan^(-1)sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola aga...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The length of the normal chord to the parabola y^2 = 4x which subtends...

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