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A tangent to the parabola x^(2) = 4ay me...

A tangent to the parabola `x^(2) = 4ay` meets the hyperbola `x^(2) - y^(2) = a^(2)` in two points P and Q, then mid point of P and Q lies on the curve

A

`y^(3) = x (y - a)`

B

`y^(3) = x^(2) (y - a)`

C

`y^(2) = x^(2) (y - a)`

D

None of these

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The correct Answer is:
B
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FIITJEE-HYPERBOLA-ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - I
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  2. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

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  3. A tangent to the parabola x^(2) = 4ay meets the hyperbola x^(2) - y^(2...

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  4. The focus of the rectangular hyperbola (x + 4) (y-4) = 16 is

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  5. If the hyperbola xy = c^(2) touches the curve x^(2) + 2y^(2) + alpha x...

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  6. The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

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  7. Consider the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1. Area of the tria...

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  8. Number of point (s) outside the hyperbola x^(2)/25 - y^(2)/36 = 1 from...

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  9. If e is the eccentricity of x^2/a^2-y^2/b^2=1 and theta be the angle b...

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  10. A hyperbola, having the transverse axis of length 2 sin theta, is conf...

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  11. If the tangent and the normal to a rectangular hyperbola xy = c^(2) , ...

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  12. From a point on the line y=x+c, c(parameter), tangents are drawn to th...

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  13. Locus of the points of intersection of perpendicular tangents to x^(2)...

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  14. The angle between tangents drawn to the curve xy = 4 from the point (1...

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  15. The product of perpendiculars drawn from any point on a hyperbola to i...

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  16. A normal to the hyperbola x^2-4y^2=4 meets the x and y axes at A and B...

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  17. The locus of mid - point of the portion of a line of constant slope 'm...

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  18. Let P(6,3) be a point on the hyperbola parabola x^2/a^2-y^2/b^2=1If t...

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  19. Let the eccentricity of the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 b...

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  20. A tangent to the hyperbola x^(2)/4 - y^(2)/1 = 1 meets ellipse x^(2) +...

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