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From a point on the line `y=x+c`, c(parameter), tangents are drawn to the hyperbola `(x^(2))/(2)-(y^(2))/(1)=1` such that chords of contact pass through a fixed point `(x_1, y_1)`. Then , `(x_1)/(y_1)` is equal to

A

2

B

3

C

4

D

none of these

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The correct Answer is:
A
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FIITJEE-HYPERBOLA-ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - I
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  2. If the tangent and the normal to a rectangular hyperbola xy = c^(2) , ...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If the equation 4x^(2) + ky^(2) = 18 represents a rectangular hyperbol...

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  17. The distance between foci of a hyperbola is 16 and its eccentricity is...

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  18. The point of intersection of tangents at 't'(1) " and " 't'(2) to the...

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  19. The locus of the point of intersection of tangents drawn at the extrem...

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  20. A hyperbola has centre 'C" and one focus at P(6,8). If its two directr...

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