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Consider the hyperbola x^(2)/a^(2) - y^(...

Consider the hyperbola `x^(2)/a^(2) - y^(2)/b^(2) = 1`. Area of the triangle formed by the asymptotes and the tangent drawn to it at `(a, 0)` is

A

`ab//2`

B

`ab`

C

`2ab`

D

`4ab`

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. A variable chord PQ, x cos theta + y sin theta = P of the hyperbola x...

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  18. If a line intersect a hyperbola at (-2, -6) " and " (4, 2) and one of ...

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  19. Equation of one of the latusrectum of the hyperbola (10x - 5)^2 + (10y...

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  20. If P N is the perpendicular from a point on a rectangular hyperbola x ...

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