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The equation of a normal to the parabola...

The equation of a normal to the parabola `y=x^(2)-6x+6` which is perpendicular to the line joining the origin to the vertex of the parabola is

A

`4x – 4y-11=0`

B

`4x – 4y +21=0 `

C

`4x - 4y+1=0`

D

`4x - 4y -21=0`

Text Solution

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The correct Answer is:
D
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ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If a normal chord subtends a right angle at the vertex of the parabola...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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