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Show tht the locus of the middle points ...

Show tht the locus of the middle points of chords of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 ` drawn through an extremity of the minor axis is `(x^(2))/(a^(2))+(y^(2))/(b^(2)) = pm (y)/(b) `

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Find the locus of the middle points of chord of an ellipse x^2/a^2 + y^2/b^2 = 1 which are drawn through the positive end of the minor axis.

Find the locus of middle points of chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which subtend right angle at its center.

Find the locus of middle points of chords of the ellipse x^2/a^2+y^2/b^2=1 which subtend right angles at its centre.

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

Find the slope of normal to the ellipse , (x^(2))/(a^(2))+(y^(2))/(b^(2))=2 at the point (a,b).

The ellipse (x^(2))/(169) + (y^(2))/(25) = 1 has the same eccentricity as the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 . Find the ratio (a)/(b) .

The locus of the midpoints of the chords of an ellipse x^(2) + 4y^(2) = 4 that are drawn forms the positive end of the minor axis is

Show that the locus of the middle points of chords of the parabola y^(2) = 4ax passing through the vertex is the parabola y^(2) = 2ax

Show that the locus of the middle points of chords of the parabola y^(2) = 4ax passing through the vertex is the parabola y^(2)= 2ax .

Show that the locus of the midpoints of the chords of the circle x^(2)+y^(2)=a^(2) which are tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (x^(2)+y^(2))^(2)=a^(2)x^(2)-b^(2)y^(2) .

CHHAYA PUBLICATION-ELLIPSE-Short Answer Type Questios
  1. Find the equation of the ellipse whose eccentricity is (1)/(2) ...

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  2. Find the equation of the ellipse whose focus is (3, 4) , directr...

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  3. A point moves so that its distance from (0,-3) is (1)/(sqrt(2)) tim...

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  4. Find the equation of the ellipse whose major axis is parallel to x - a...

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  5. Find the equation of the ellipse whose major axis is parallel to x - a...

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  6. Find the equation of the ellipse, for which the foci are (0,1) and (0...

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  7. The eccentricity of an ellipse is (1)/(2) , focus is S (0,0) and the ...

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  8. The lengths of major and minor axes of an ellipse are 8 and 6 and thei...

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  9. Show that the point (2,(2)/(sqrt(5))) lies on the ellipse 4x^(2) +...

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  10. Prove that SP + S'P = 20 for the ellipse (x^(2))/(100) + (y^(2))/(36)...

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  11. If t be a variable parameter, show that the point x = a(1 -t^(2))/(1...

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  12. A point moves on a plane is such a manner that the sum of its istances...

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  13. Find the locus of the point , the ratio of whose distances from the li...

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  14. The lengths of the major and minor axes of an ellipse are 2 a and 2b ...

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  15. Show that for an ellipse the straight line joining the upper end of on...

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  16. Find the equation of the auxiliary circle of the ellipse 16x^(2)+25y^...

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  17. If the eccentric angles of the two points on the ellipse (x^(2))/(a^(2...

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  18. Show that equations x = 5 * (1 - t^(2))/(1 + t^(2)), y = 6 * (t)/(1 +...

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  19. Show tht the locus of the middle points of chords of the ellipse (x^(2...

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  20. If P(x , y) ,F(1) (3,0) , F(2) (-3, 0) " and " 16x^(2) + 25 y^(2) = 40...

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