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If the line y=3x+lambda touches the hype...

If the line `y=3x+lambda` touches the hyperbola `9x^2-5y^2=45`, then the value of `lambda` is

A

`36`

B

`45`

C

`6`

D

`15`

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
  1. The diameter of 16x^(2)-9y^(2)=144 which is conjugate to x=2y is

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

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

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  4. Find the equations to the common tangents to the two hyperbolas (x^2)/...

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  5. A point moves in a plane so that its distance PA and PB from who fixed...

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  6. If ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and hyperbola (x^(2))/(144)-...

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  7. The curve represented by x=acos h theta, y=bsin h theta, is

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  8. The equation oi the conic with focus at (1,-1) directrix along x-y+1=0...

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  9. If the eccentricity of a hyperbola is sqrt(3), the eccentricity of its...

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  10. Area of the triangle formed by the lines x-y=0,x+y= 0 and any tangant ...

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  11. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

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  12. If a normal of slope m to the parabola y^2 = 4 a x touches the hyperbo...

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  13. Equation of common tangent to the parabola y^(2)=8x and hyperbola x^(2...

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  14. The circle drawn on the line segment joining the foci of the hyperbola...

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  15. The angle between the asymptotes of the hyperbola 2x^(2)-2y^(2)=9, is

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  16. The difference of the focal distances of anypoint on the hyperbola is ...

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  17. about to only mathematics

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  18. The points of the intersection of the curves whose parametric equation...

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  19. The equation of the hyperbola whose foci are (6.5), (-4,5) and eccentr...

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  20. Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 to...

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