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A variable line drawn throgh the point o...

A variable line drawn throgh the point of intersection of the lines `x/a+y/b=1,x/b+y/a=1` meets the coordinate axes in A and B. Then the locus of midpoint of AB is

A

`a^(2)/x^(2)+b^(2)/y^(2)=4`

B

`a^(2)/x^(2)-b^(2)/y^(2)=4`

C

`a^(2)/x^(2)+b^(2)/y^(2)=2`

D

`b^(2)/x^(2)+a^(2)/y^(2)=4`

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DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1B
  1. The pole of the line y = x + 2 with respect to the ellipse x2+2y2−4x+...

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  2. The value of k if (1, 2), (k, -1) are conjugate points with respect to...

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  3. If 2x-y+3=0, 4x+ky+3=0 are conjugate with respect to the ellipse 5x^(2...

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  4. The locus of poles with respect to the hyperbola x^(2)//a^(2) -y^(2)...

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  5. Show that the locus of middle points of a focal chord of an ellipe (x^...

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  6. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

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  7. If the chords of contact of tangents from two points (x(1),y(1)) and (...

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  8. The equation of the chord of the ellipse 2x^(2)+3y^(2)=6 having (1, -1...

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  9. The midpoint of a chord of the ellipse x^(2)+4y^(2)-2x+20y=0 is (2, -4...

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  10. The midpoint of the chord 4x+5y-13=0 of the ellipse 2x^(2)+5y^(2)=20 i...

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  11. If the line 2x + 5y = 12 intersects the ellipse 4x^(2)+5y^(2)=20 in tw...

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  12. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

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  13. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

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  14. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

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  15. The locus of the point of intersection of the perpendicular tangents t...

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  16. The equation of the locus of the middle point of the portion of a tang...

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  17. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

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  18. A variable line drawn throgh the point of intersection of the lines x/...

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  19. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

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  20. The equation of the locus of the middle point of the portion of a tang...

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