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

At what point on the parabola `y^2 = 4x` the normal, makes equal angles with axes

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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ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If 2x + y + lamda = 0 is a normal to the parabola y^2 =-8x, then lamda...

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  2. The line x+y=6 is a normal to the parabola y^2 = 8 x at , the point

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

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  4. PNP is a double ordinate of the parabola y^2 = 4ax then the normal at ...

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  5. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

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  6. If x= my+c is a normal to the parabola x^2 = 4ay, then the value of c ...

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  7. The angle between the normals to the parabola y^(2)=24xx at points (6,...

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  8. The line lx+ my +n=0 will touch the parabola y^2 = 4ax if

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  9. Three normals to the parabola y^2 = x are drawn through a point (c,0),...

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  10. The number of distinct normals that can be drawn to the parabola y^2 =...

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  11. If two of the feet of normals drawn.from a point to the parabola y^2 =...

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  12. The normal drawn at a point (at(1)^2 2at1) of the parabola y^2 = 4ax ...

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  13. The length of the normal chord which subtends an angle of 90^(@) at th...

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  14. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  15. The normal chord of the parabola y^2 = 4ax at a point whose ordinate i...

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  16. If the normal to the parabola y^2 = 4ax at the point P("at"^2 2at) c...

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  17. If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola aga...

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

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

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

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