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If the line 2x + 5y = 12 intersects the ...

If the line 2x + 5y = 12 intersects the ellipse `4x^(2)+5y^(2) = 20` in two distinct points A and B, then the mid point of AB is

A

0,1

B

1,2

C

1,0

D

2,1

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The correct Answer is:
B
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AAKASH SERIES-ELLIPSE-EXERCISE-II
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  2. The mid point of the chord 2x+5y=12 of the ellipse 4x^(2) + 5y^(2) = 2...

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

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

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  5. The ratio of the ordinates of a point and its .corresponding point is(...

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  6. If the extremities of a focal chord are (5pi)/(12) and (pi)/(12) then...

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  7. If alpha,beta are the ends of a focal chord of the ellipse (x^(2))/(a^...

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  8. If the chord joining two points whose eccentric angles are alpha and ...

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  9. If tan theta(1) tan theta(2) =-(a^(2))/(b^(2)) then the chord join...

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  10. The tangent at 'p' on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cu...

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  11. P(theta) and D(theta+(pi)/(2)) are the points on the ellipse with c...

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  12. The area of the parallelogram formed by the tangents at the points who...

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  13. The area of the parallelogram formed by the tangents at the points who...

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  14. If PSQ is a focal chord then match the ellipse with the value of (1)/...

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  15. A man running round a race course note that the sum of the distances o...

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  16. The locus of point of intersection of lines (xt)/(a)-(y)/(b)+t=0 and (...

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  17. A line of fixed length a + b moves so that its ends are always on two ...

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  18. Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...

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  19. Locus of the point of intersection of the tangents at the points with ...

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  20. The locus of the mid point of the portion of a tangent to the ellipse...

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