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For all real values of m' the straight line `y=mx + sqrt(9m^(2)-4)` is a tangent to the curve

A

`9x^(2)+4y^(2)=36`

B

`4x^(2)+9y^(2)=36`

C

`9x^(2)-4y^(2)=36`

D

`4x^(2)-9y^(2)=36`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-HYPERBOLA-Exercise -I
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  2. The nummber of tangents to x^(2)//9-y^(2)//4=1 throught (6,2) is

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  3. For all real values of m' the straight line y=mx + sqrt(9m^(2)-4) is a...

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  4. The condition that the line x=my+c may be a tangent of x^(2)/a^(2)-y^(...

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  5. Product of perpendiculars from the foci of x^(2)/4-y^(2)/9=1" to "y=mx...

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  6. If m1, m2, are slopes of the tangens to the hyperbola x^(2)//25-y^(2)/...

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  7. Number of points from where perpendicular tangents can be drawn to the...

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  8. The equation of the auxiliary circle of x^(2)/(16)-y^(2)/(25)=1 is

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  9. Locus of feet of perpendicular from (5,0) to the tangents of (x^(2))/(...

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  10. Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at t...

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  11. If S and T are foci of x^(2)/(16)-y^(2)/(9)=1. If P is a point on the...

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  12. Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentri...

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  13. Equation of normal to 9x^(2)-25y^(2)=225 at theta=pi//4 is

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  14. The equation to the pair of asymptotes of the hyperbola x^(2)/9-y^(2)/...

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  15. The angle between the asymptotes of the hyperbola x^(2)-y^(2)=2 is

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  16. The angle between the asymptotes of the hyperbola xy= a^2 is

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  17. The eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2 ...

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  18. The angle between the asymptotes of the hyperbola x^(2)//a^(2)-y^(2)//...

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