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Let aa n db be nonzero real numbers. The...

Let `aa n db` be nonzero real numbers. Then the equation `(a x^2+b y^2+c)(x^2-5x y+6y^2)=0` represents. four straight lines, when `c=0` and `a , b` are of the same sign. two straight lines and a circle, when `a=b` and `c` is of sign opposite to that `a` two straight lines and a hyperbola, when `aa n db` are of the same sign and `c` is of sign opposite to that of `a` a circle and an ellipse, when `aa n db` are of the same sign and `c` is of sign opposite to that of `a`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

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  2. Find the equations of the tangents to the hyperbola x^2-9y^2=9 that ar...

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  3. Let aa n db be nonzero real numbers. Then the equation (a x^2+b y^2+c)...

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  4. x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the...

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  5. Find the equations to the common tangents to the two hyperbolas (x^2)/...

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  6. A parabola is drawn with focus at one of the foci of the ellipse (x^2)...

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  7. Let P(6,3) be a point on the hyperbola x^2/a^2-y^2/b^2=1If the normal ...

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  8. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

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  9. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

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  10. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2...

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  11. Let Pi and Pi ' be the feet of the perpendiculars drawn from the foci ...

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  12. An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The ecc...

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  13. The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which...

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  14. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

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  15. The equation of the ellipse whose axes are coincident with the coor...

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  16. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

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  17. An ellipse with major and minor axes lengths 2a and 2b , respectively,...

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  18. Consider the hyperbola H, x^(2)-y^(2)=1 and a circle S with centre N(x...

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  19. Let d be the perpendicular distance from the centre of the ellipse x^2...

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  20. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

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