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Find the equations to the common tangents to the two hyperbolas `(x^2)/(a^2)-(y^2)/(b^2)=1` and `(y^2)/(a^2)-(x^2)/(b^2)=1`

A

`y=+-x+-sqrt(b^(2)-a^(2))`

B

`y=+-x+-sqrt(a^(2)-b^(2))`

C

`y=+-x+-(a^(2)-b^(2))`

D

`y=+-x+-sqrt(a^(2)+b^(2))`

Text Solution

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
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  6. The curve represented by x=acos h theta, y=bsin h theta, is

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

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

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

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

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

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

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

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

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

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

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