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The ellipse 4x^2+9y^2=36 and the hyperbo...

The ellipse `4x^2+9y^2=36` and the hyperbola `a^2x^2-y^2=4` intersect at right angles. Then the equation of the circle through the points of intersection of two conics is

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let C be a curve which is the locus of the point of intersection of li...

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  2. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

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  3. The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at r...

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  4. If the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is inscribed in a rectangle w...

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  5. The chord P Q of the rectangular hyperbola x y=a^2 meets the axis of x...

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  6. If tangents P Q and P R are drawn from a point on the circle x^2+y^2=2...

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  7. The curve x y=c ,(c >0), and the circle x^2+y^2=1 touch at two points....

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  8. An ellipse is sliding along the coordinate axes. If the foci of the ...

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  9. If S1a n dS2 are the foci of the hyperbola whose length of the transve...

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  10. The locus of the point which is such that the chord of contact of t...

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  11. The equation of conjugate axis of the hyperbola x y-3y-4x+7=0 is y+x=3...

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  12. If Sa n dS ' ' are the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 ,...

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  13. The asymptote of the hyperbola x^2/a^2+y^2/b^2=1 form with ans tangen ...

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  14. Let d1a n dd2 be the length of the perpendiculars drawn from the foci...

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  15. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

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  16. The line x=t^2 meets the ellipse x^2+(y^2)/9=1 at real and distinct ...

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  17. The equation of a rectangular hyperbola whose asymptotes are x=3 and y...

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  18. The eccentric angle of a point on the ellipse (x^2)/4+(y^2)/3=1 at a d...

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  19. The center of a rectangular hyperbola lies on the line y=2xdot If one...

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  20. (x-1)(y-2)=5 and (x-1)^2+(y+2)^2=r^2 intersect at four points A, B, C,...

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