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If the focus of a parabola is (2, 3) and...

If the focus of a parabola is (2, 3) and its latus rectum is 8, then find the locus of the vertex of the parabola.

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FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. The line x - b +lambda y = 0 cuts the parabola y^(2) = 4ax (a gt 0) at...

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  2. If the following informations is given about a parabola, then in which...

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  3. If the focus of a parabola is (2, 3) and its latus rectum is 8, then f...

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  4. Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...

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  5. Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...

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  6. If from a point on the line (x -1) =0, tangents are feawn to the parab...

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  7. The condition that a straight line with slope m will be normal to para...

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  8. The vertex V of the parabola y ^(2) = 4ax and two points on the parabo...

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  9. If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^...

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  10. The area between the latusne latus rectum and tangents drawn at the en...

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  11. If SK be the perpendicular from the focus S on the tangent at any poin...

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  12. If the curves (x ^(2))/(4) + y ^(2) = 1 and (x ^(2))/(a ^(2)) + y ^(2)...

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  13. If eccentric angle of a point lying in the first quadrant on the ellip...

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  14. Prove that the common tangent of the ellipses (x^2)/(a^2)+(y^2)/(b^2)-...

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  15. If the ellipse (x^2)/(a^2-7)+(y^2)/(13=5a)=1 is inscribed in a square ...

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  16. The intercept made by the auxiliary circle of the ellipse (x ^(2))/(a ...

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  17. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

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  18. If y = 2x + c neither cuts the circle (x - 2)^2 + (y - 3)^2 = 4 nor th...

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  19. If normals are drawn to the ellipse x^2 + 2y^2 = 2 from the point (2, ...

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  20. The locus of the point of inter section of perpendicular chords passin...

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