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A focal chord of parabola y^(2)=4x .is i...

A focal chord of parabola `y^(2)=4x` .is inclined at an angle of `(pi)/(4)` with positive x -direction then the slope of normal drawn at the ends of chord will satisfy the equation
`(A) m^(2)-2m-1=0 (B) m^(2)+2m-1=0
(C) m^(2)-1=0 (D) m^(2)+2m-2=0`

A

`m^2 -2m-1=0`

B

`m^2 +2m-1=0`

C

`m^2-1=0 `

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

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  17. The locus of point of intersection of two normals drawn to the parabol...

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  18. P ,Q , and R are the feet of the normals drawn to a parabola (y-3)^2=8...

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  19. If two different tangents of y^2 = 4x are the normals to the parabola...

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  20. For y^2 = 4x, pormals at P, Q, Rare concurrent at a point (3,0), then...

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