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If a normal chord subtends a right at th...

If a normal chord subtends a right at the vertex of the parabola `y^(2)=4ax,then find its inclination to the axis.

A

`1/sqrt2`

B

`sqrt2`

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
The equation of a normal to the parabola `y^(2)=4ax` is
`y+tx=2at+at^(3)`
If the normal chord makes a right angle at the vertex of the parabola, then
`t^(2)=2rArr=+-sqrt2`
Hence, the slope of the normal chord `=-t=+-sqrt2`.
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Section I - Solved Mcqs
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  2. Circle described on the focal chord as diameter touches

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  8. PSQ is a focal chord of a parabola whose focus is S and vertex is A. P...

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  10. The vertex of the parabola y^(2) =8x is at the centre of a circle and...

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  11. Let A, B and C be three points taken on the parabola y^(2)=4ax with co...

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  12. Let there be two parabolas with the same axis, focus of each being ext...

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  13. Let A and B be two points on y^(2)=4ax such that normals to the curve ...

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  14. The set of real values of 'a' for which at least one tangent to y^(2)=...

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  15. The locus of the mid-point of the line segment joining a point on the ...

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  16. The tangent and normal at the point p(18, 12) of the parabola y^(2)=8x...

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  17. Tangent and normal at any point P of the parabola y^(2)=4ax(a gt 0) me...

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  18. The points of the intersection of the curves whose parametric equation...

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  19. The locus of the midpoint of the segment joining the focus to a moving...

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  20. The radical centre of the circles drawn on the focal chords of y^(2)=4...

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