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The equation 14x^2 - 4xy+ 11y^2 - 44x -...

The equation `14x^2 - 4xy+ 11y^2 - 44x - 58y + 71 = 0` represents

A

a)(2,3)

B

b)(2,-3)

C

c)(-2,3)

D

d)(-2,-3)

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A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
  1. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

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  2. If the tangent and normal to a rectangular hyperbola cut off intercept...

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  3. The equation 14x^2 - 4xy+ 11y^2 - 44x - 58y + 71 = 0 represents

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  4. If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(...

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  5. Find the eccentric angle of a point on the ellipse x^2 + 3y^2 = 6 at a...

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  6. Which of the following is an exterior point of the ellipse 16x^2+9y^2-...

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  7. The line 3x+5y=k touches the ellipse 16x^(2)+25y^(2)=400 ,if k is

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  8. Find the equaiton of the tangents to the hyperbola x^2 - 2y^2 = 18 whi...

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  9. A point on the ellipse x^2+3y^2=37 where the normal is parallel to the...

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  10. if the ordinate of the point of contact be 2 then the equation of the ...

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  11. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

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  12. If the tangent to the ellipse x^2 +4y^2=16 at the point 0 sanormal to ...

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  13. An ellipse having foci (3,1) and (1, 1) passes through the point (1, 3...

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  14. If P & Q are the ends of a pair of conjugate diameters & C is the cent...

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  15. If any point on a hyperbola is (3 tantheta, 2sectheta) then eccentrici...

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  16. If the normal to the rectangular hyperbola xy = c^2 at the point 't' m...

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  17. Equation (2 + lambda)x^2-2 lambdaxy+(lambda -1)y^2-4x-2=0 represents a...

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  18. Find the locus of the middle points of the normals chords of the recta...

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  19. The line y=m x-((a^2-b^2)m)/(sqrt(a^2+b^2m^2)) is normal to the ellise...

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  20. A rectangular hyperbola whose centre is C is cut by any circle of radi...

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