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2x +sqrt6y=2 touches the hyperbola x^2-2...

`2x +sqrt6y=2` touches the hyperbola `x^2-2y^2=4` , then the point of contact is :

A

`(-2, sqrt(6))`

B

`(-5,2 sqrt(6))`

C

`((1)/(2), (1)/(sqrt(6)))`

D

`(4,-sqrt(6))`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
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  2. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

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  3. 2x +sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of cont...

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  4. If a hyperbola passes through a focus of the ellipse (x^(2))/(25)+(y^(...

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  5. If (5,12) and (-9,12) are the foci of the hyperbola passing through th...

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  6. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

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  7. If the latus rectum subtends a right angle at the centre of a hyperbo...

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  8. The latus rectum through one focus subtends a right angle at the fart...

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  9. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

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  10. If the pair of lines b^(2) x^(2)-a^(2) y^(2)=0 are inclined at an angl...

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  11. The distance between foci of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is 9 an...

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  12. The length of the transverse axid , along x - axis with centre at orig...

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  13. The eccentricity of the hyperbola whose latus rectum is 8 and conjugat...

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  14. The distance between the foci of a hyperbola is 16 and its eccentricit...

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  15. The equation of the hyperbola with eccentricity 3/2 and foci at (pm2,0...

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  16. The condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))...

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  17. The equation of the normal to the hyperbola 3 x^(2)-y^(2)=3 at (2,-3) ...

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  18. What does this equation x^2 - 4y^2 - 2x + 16y - 40 =0 represent?

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  19. The centre of the hyperbola : 9x^2-36x-16y^2+96y-252=0 is

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  20. The Asymptotes of the hyperbola 16x^2 - 9y^2 = 144 are

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