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At what point on the parabola y^2=4x the...

At what point on the parabola `y^2=4x` the normal makes equal angle with the axes? `(4,4)` (b) `(9,6)` (d) `(4,-4)` (d) `(1,+-2)`

A

(4, 4)

B

(9, 6)

C

(4, -4)

D

(1, -2)

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Chapter Test
  1. The point of contact of the line x-2y-1=0 with the parabola y^(2)=2(x-...

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  2. Find the number of distinct normals that can be drawn from (-2,1) to t...

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  3. At what point on the parabola y^2=4x the normal makes equal angle with...

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  4. Three normals to the parabola y^2= x are drawn through a point (C, O) ...

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  5. The normal chord of a parabola y^2= 4ax at the point P(x1, x1) subten...

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  6. AB, AC are tangents to a parabola y^2=4ax; p1, p2, p3 are the lengths...

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  7. The circles on the focal radii of a parabola as diameter touch: A) th...

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  8. If the normals from any point to the parabola y^2=4x cut the line x=2 ...

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  9. about to only mathematics

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  10. The equation of the tangent to the parabola y^(2)=8x which is perpendi...

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  11. the tangent drawn at any point P to the parabola y^2= 4ax meets the di...

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  12. about to only mathematics

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  13. The parabola y^(2)=4ax passes through the point (2,-6). Find the lengt...

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  14. A variable circle passes through the fixed point (2, 0) and touches y-...

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  15. The locus of the middle points of the focal chords of the parabola, y^...

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  16. If the lsope of the focal chord of y^(2)=16x is 2, then the length of ...

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  17. If x-2y-a=0 is a chord of the parabola y^(2)=4ax, then its langth, is

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  18. Equation of normal to the parabola y^(2)=4x which passes through (3, 0...

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  19. Find the length of normal chord which subtends an angle of 90^0 at the...

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  20. At what point on the parabola y^2=4x the normal makes equal angle with...

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