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If a triangle is inscribed in an ellipse...

If a triangle is inscribed in an ellipse and two of its sides are parallel to the given straight lines, then prove that the third side touches the fixed ellipse.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If (asectheta, btantheta) and (asecphi, btanphi) be two coordinate of ...

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

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

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

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

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

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

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  8. Find the locus of the point which is such that the chord of contact...

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

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  10. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  11. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

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  12. Find the eccentricity of the conic 4(2y-x-3)^2-9(2x+y-1)^2=80

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

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  14. For all real values of m , the straight line y=m x+sqrt(9m^2-4) is a t...

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  15. Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 ....

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  16. Two straight lines rotate about two fixed points (-a,0) and (a,0) in a...

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  17. Statement 1 : There can be maximum two points on the line p x+q y+r...

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  18. Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

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  19. Statement 1 : Circles x^2+y^2=9 and (x-sqrt(5))(sqrt(2)x-3)+y(sqrt(2)y...

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  20. If AOB and COD are two straight lines which bisect one another at righ...

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