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Find the common tangent to 9x^(2)-16y^(2...

Find the common tangent to `9x^(2)-16y^(2)=144` and `x^(2)+y^(2)=9`.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

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  2. From the centre C of the hyperbola (x^(2))/(16)-(y^(2))/(9)=1, perpend...

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  3. Find the common tangent to 9x^(2)-16y^(2)=144 and x^(2)+y^(2)=9.

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  4. Find the equations of tangents to the curve 4x^(2)-9y^(2)=1 which are ...

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  5. Find the equation of the locus of the middle points of the chords of ...

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  6. Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y...

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  7. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

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  8. A triangle has its vertices on a rectangular hyperbola. Prove that the...

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  9. From any point on any directrix of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  10. Find the equations of the asymptotes of the hyperbola 3x^(2)+10xy+8y...

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  11. A tangent is drawn to the ellipse to cut the ellipse x^2/a^2+y^2/b^2=1...

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  12. P Q and R S are two perpendicular chords of the rectangular hyperbola ...

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  13. If tangents to the parabola y^(2)=4ax intersect the hyperbola (x^(2))/...

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  14. The tangent at a point P on an ellipse intersects the major axis at T ...

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  15. If (asectheta;btantheta) and (asecphi; btanphi) are the ends of the fo...

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  16. Find the area of the triangle formed by any tangent to the hyperbola (...

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  17. If a triangle is inscribed in an ellipse and two of its sides are pa...

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  18. Normal are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at point t...

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  19. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

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  20. Find the product of the length of perpendiculars drawn from any point ...

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