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Let E1a n dE2, respectively, be two elli...

Let `E_1a n dE_2,` respectively, be two ellipses `(x^2)/(a^2)+y^2=1,a n dx^2+(y^2)/(a^2)=1` (where `a` is a parameter). Then the locus of the points of intersection of the ellipses `E_1a n dE_2` is a set of curves comprising two straight lines (b) one straight line one circle (d) one parabola

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Statement 1 : The equations of the tangents drawn at the ends of th...

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  2. Find the equation of hyperbola if centre is (1, 0), one focus is (6, 0...

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  3. Let E1a n dE2, respectively, be two ellipses (x^2)/(a^2)+y^2=1,a n dx^...

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  4. Find the equation of hyperbola : Whose center is (3, 2), one focus is ...

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  5. Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is...

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  6. An ellipse and a hyperbola have their principal axes along the coor...

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  7. Two concentric ellipses are such that the foci of one are on the other...

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  8. If hyperbola (x^2)/(b^2)-(y^2)/(a^2)=1 passes through the focus of ell...

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  9. If the tangent drawn at point (t^2,2t) on the parabola y^2=4x is the s...

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  10. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

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  11. Statement 1 : Any chord of the conic x^2+y^2+x y=1 through (0, 0) is b...

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  12. Find the coordinates of the foci, the eocentricity, the latus rectum, ...

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  13. Statement 1 : If there is exactly one point on the line 3x+4y+5sqrt...

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  14. If the latus rectum of a hyperbola forms an equilateral triangle with ...

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  15. Statement 1 : For the ellipse (x^2)/5+(y^2)/3=1 , the product of the p...

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  16. If the latus rectum subtends a right angle at the center of the hyp...

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  17. Statement 1 : The locus of the center of a variable circle touching...

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  18. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

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  19. Statement 1 : A triangle A B C right-angled at A moves so that its per...

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  20. Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-t...

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