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Let A and B be two distinct points on the parabola `y^2=4x`. If the axis of the parabola touches a circle of radius r having AB as its diameter, then find the slope of the line joining A and B .

A

`-1/r`

B

`1/r`

C

`2/r`

D

`-2/r`

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The correct Answer is:
C, D
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. In a school, there are 30 teachers who teach Mathematics or Physics. O...

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

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

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  5. Of the 125 students in an elementary school, 89 students play checkers...

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  6. What is the 5th term of this sequence 9, 13, 17, ...?

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  7. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

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  8. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

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  9. If f (x) = 3x − 5, then inverse of f(x) is

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

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  12. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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  13. Evaluate int 28x^2 dx.

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

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

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  17. If the normals of the parabola y^(2)=4x drawn at the end points of its...

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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 : x^2 + y^2 = 3, with center at O, intersects the parabo...

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