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If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is (1) `2x""+""1""=""0` (2) `x""=""1` (3) `2x""""1""=""0` (4) `x""=""1`

A

2x+1=0

B

x=-1

C

2x-1=0

D

x=1

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

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  2. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

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  3. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  4. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

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  5. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  6. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  7. The shortest distance between line y-x=1 and curve x=y^2 is

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  8. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

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  9. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  10. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

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  11. The slope of the line touching the parabolas y^2=4x and x^2=-32y is

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  12. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  13. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

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  14. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  15. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  16. ·If the normals of the parabola y^2=4x drawn at the end points of it...

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  17. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

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  18. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

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  19. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

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  20. The circle C1 : x2 + y2 = 3, with centre at O, intersects the parabola...

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