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The equation of the hyperbola whose dire...

The equation of the hyperbola whose directrix `x+2y=1`, focus `(2,1)` and eccentricity `2`, is

A

`x^(2)+16xy-11y^(2)-12x+6y+21=0`

B

`x^(2)-16xy-11y^(2)-12x+6y+21=0`

C

`x^(2)-4xy-y^(2)-12x+6y+21=0`

D

none of these

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
  1. The equation of the hyperbola whose directrix x+2y=1, focus (2,1) and ...

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  2. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

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  3. The eccentricity of the hyperbola can never be equal to

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  4. The eccentricity of a rectangular hyperbola, is

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  5. IF t is a parameter, then x = a(t + (1)/(t)) and y = b(t - (1)/(t)) re...

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  6. If 5x^(2)+lambday^(2)=20 represents a rectangular hyperbola, then lamb...

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  7. The eccentricity of the hyperbola 3x^(2)-4y^(2)=-12 is

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  8. The locus of the point of intersection of the straight lines (x)/(a)+(...

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  9. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 repersents a hyperbola if

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  10. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 repersents a rectangular h...

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  11. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

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  12. Find the value of m, for which the line y=mx + 25sqrt3/3 is a normal t...

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  13. The value of m for which the line y=mx+2 becomes a tangent to the hype...

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  14. The equation (x^2)/(12-lambda)+(y^2)/(B-lambda)=1 represents

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  15. If the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 (agtb) and x^(2)-y(2)=...

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  16. about to only mathematics

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  17. The equation of the tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2...

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  18. The diameter of 16x^(2)-9y^(2)=144 which is conjugate to x=2y is

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  19. The tangents from a point (2sqrt(2),1) to the hyperbola 16x^(2)-25y^(2...

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  20. If the line y=3x+lambda touches the hyperbola 9x^2-5y^2=45, then the v...

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