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If the angle between the asymptotes of h...

If the angle between the asymptotes of hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` is `120^0` and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be (a) `x^2+y^2=6` (b) `x^2+y^2=9` `x^2+y^2=3` (d) `x^2+y^2=18`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  9. If the hyperbola x^(2)-y^(2)=4 is rotated by 45^(@) in the anticlockwi...

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  10. The coordinates of a point on the hyperbola (x^2)/(24)-(y^2)/(18)=1 wh...

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  11. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

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  12. The sides AC and AB of a DeltaABC touch the conjugate hyperbola of the...

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  13. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 pa...

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  14. If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , t...

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  15. The locus of a point whose chord of contact with respect to the circle...

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  16. The locus of the feet of the perpendiculars drawn from either focus on...

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  17. If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...

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  18. Consider the graphs of y=Ax^(2) and y^(2)+3=x^(2)+4y, where A is a pos...

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  19. The eccentricity of the hyperbola |sqrt((x-3)^(2)+(y-2)^(2))-sqrt((x...

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  20. If y = mx+c is tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

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