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Find the equations of the hyperbola,Foci...

Find the equations of the hyperbola,Foci `(pm 4,0)`, the latus rectum is of length 12

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V PUBLICATION-CONIC SECTIONS-Question Bank
  1. Find the hyperbola satisfying the following conditions: Foci (+-5,0)...

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  2. Find the hyperbola satisfying the following conditions: Foci (0,+-13...

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  3. Find the equations of the hyperbola,Foci (pm 3 sqrt5, 0), the latus re...

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  4. Find the equations of the hyperbola,Foci (pm 4,0), the latus rectum is...

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  5. Find the hyperbola satisfying the following conditions: Vertices (+-...

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  6. Find the equations of the hyperbola,Foci (0, pm sqrt10), passing throu...

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  7. Find the area of the triangle formed by the lines joining the vertex o...

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  8. An equilateral triangle is inscribed in the parabola y^2=4 a x, where ...

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  9. Arun draws a circle with centre at (-1,-2) and radius sqrt5. What may ...

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  10. Find the equation of conic whose focus is (-1,0) and fixed line is 4x-...

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  11. A few (circ)les are drawn below. Write their equations with the geomet...

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  12. Verify that x=a t^2, y=2 a t is satisfied by the equation y^2=4 a x

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  13. If P(at1 ^2, 2 at1), Q(at2^2, 2 at2) are two points on a párabola y^2=...

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  14. If PQ is a focal chord of the parabola.then prove that t1 t2=-1.

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  15. The circle whose equation is x^2+(y-1)^2 = 1 has the centre.....

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  16. Find the equation of the circle whose centre is at (-3,-2) and radius ...

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  17. Find the equation of the circle whose centre is (-1,5) and which passe...

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  18. Find the equation of the circle whose area is 154 sq. units and having...

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  19. For the ellipse x^2+3 y^2=a^2, find the length of major and minor axes...

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  20. The foci of a hyperbola coincide with the foci of the ellipse x^2/25+y...

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