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Consider an ellipse (x^2)/4+y^2=alpha(al...

Consider an ellipse `(x^2)/4+y^2=alpha(alpha` is parameter `>0)` and a parabola `y^2=8x` . If a common tangent to the ellipse and the parabola meets the coordinate axes at `Aa n dB` , respectively, then find the locus of the midpoint of `A Bdot`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  3. Consider an ellipse (x^2)/4+y^2=alpha(alpha is parameter >0) and a ...

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  6. If alpha and beta are the eccentric angles of the extremities of a f...

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  7. If the area of the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 is 4pi , then...

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  8. The center of an ellipse is C and P N is any ordinate. Point A ,A ' ar...

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  9. The ratio of the area of triangle inscribed in ellipse x^2/a^2+y^2/b^...

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  10. If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8,...

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  11. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^...

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  12. If Sa n dS ' are two foci of ellipse 16 x^2+25 y^2=400 and P S Q is ...

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  13. Find the equations of the tangents drawn from the point (2, 3) to t...

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  14. Prove that the area bounded by the circle x^2+y^2=a^2 and the ellip...

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  17. The line l x+m y+n=0 is a normal to the ellipse (x^2)/(a^2)+(y^2)/(...

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  18. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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