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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 (a) `x^2+y^2=5` (b) `sqrt(5)(x^2+y^2)-3x-4y=0` (c) `sqrt(5)(x^2+y^2)+3x+4y=0` (d) `x^2+y^2=25`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let two points P and Q lie on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

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  2. Let C be a curve which is the locus of the point of intersection of li...

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

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  5. The curve xy = C, (c gt 0), and the circle x^(2)+y^(2)=1 touch at two ...

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  6. If S(1) and S(2) are the foci of the hyperbola whose length of the tra...

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

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  8. The asymptote of the hyperbola x^2/a^2-y^2/b^2=1 form with an tangent ...

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  9. The asymptotes of the hyperbola xy=hx+ky are

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

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  11. The centre of a rectangular hyperbola lies on the line y =2x. If one o...

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  12. If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2...

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  13. Four points are such that the line joining any two points is perpendic...

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  14. If tangents O Q and O R are dawn to variable circles having radius r a...

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  15. The equation, 2x^2+ 3y^2-8x-18y+35= K represents (a) no locus if k g...

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  16. Each question has four choices a,b,c and d out of which only one is...

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  17. From the point (2, 2) tangent are drawn to the hyperbola (x^2)/(16)-(y...

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  18. The differential equation (dx)/(dy)=(3y)/(2x) represents a family of h...

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  19. If (5,12)a n d(24 ,7) are the foci of a hyperbola passing through the ...

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  20. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

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