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A triangle has its vertices on a rectang...

A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Tangents are drawn to the ellipse from the point ((a^2)/(sqrt(a^2-b^2)...

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  17. The locus of the point which is such that the chord of contact of ta...

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  18. Find the point (alpha,beta) on the ellipse 4x^2+3y^2=12 , in the first...

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  19. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis ...

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