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If y = mx - 1 is tangent to the hyberbo...

If y = mx - 1 is tangent to the hyberbola `(x^(2))/(16) - (y^(2))/(9) = 1` then value of m = ……..

A

`-sqrt((5)/(2))`

B

`sqrt((5)/(2))`

C

`sqrt((5)/(2))`

D

`(1)/(2) sqrt((5)/(2))`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-CONIC SECTIONS-TEXTBOOK BASED MCQS
  1. Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….

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  2. If for an ellipse length of minor axis and distance between two focii ...

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  3. Length of latus rectum of ellipse 2x^(2)+81y^(2)=162

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  4. Length of latus rectum of ellipse 4x^2+9y^2=1 is ............ .

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  5. Eccentricity of ellipse is ..........if length of latus rectum is half...

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  6. Radius of the circle with centre (0,3) and passes from focus of ellip...

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  7. …….is the equation of ellipse with eccentricity e = (2)/(3). Length of...

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  8. Eccentricity of ellipse (x^(2))/(169) + (y^(2))/(25) = 1 and (x^(2))/(...

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  9. If equation (x^(2))/(2-r) + (y^(2))/(r-5) + 1 = 0 represents ellipse t...

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  10. ……..of the following is the equation of ellipse with focus (-1, 1) ecc...

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  11. If y = mx - 1 is tangent to the hyberbola (x^(2))/(16) - (y^(2))/(9) ...

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  12. …….of the following is not the eccentricity of hyperbola.

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  13. ……..is the equation of hyperbola whose distance between two focii is 1...

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  14. e(1) and e(2) are eccentricities of conies 5x^(2) + 9y^(2) = 45 and 5x...

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  15. Co-ordinates of focii of hyperbola 2x^(2) - 3y^(2) = 5 is ……….

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  16. Length of transverse axis and conjugate axis in hyperbola are equal th...

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  17. Equation of directrix of Conic x^(2) + 2x - y^(2) + 5 = 0 is …….

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  18. P is point on hyperbola 16x^(2) - 9y^(2) = 144. S(1) and S(2) are its ...

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  19. Position of the point (3,4) with respect to hyperbola x^(2) - 4y^(2) +...

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  20. Length of latus rectum of ellipse 5x^(2) + 9y^(2) = 45 is …….

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