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The variable line x//a+y//b=1 is such th...

The variable line `x//a+y//b=1` is such that `a+b=10`. The locus of the midpoint of the portion of the line intercepted between theaxes is

A

`x+y=10`

B

`10x+5y=1`

C

`x+y=5`

D

`5x+10y=1`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. An equation of a line whose segment between the coordinates axes is di...

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  2. The equation of the line passing through the point of intersection of ...

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  3. The variable line x//a+y//b=1 is such that a+b=10. The locus of the mi...

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  4. A stick of length l rests againsts the floor and a wall of a room. If ...

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  5. The ends of a rod of length l move on two mutually perpendicu...

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  6. AB is a variable lines sliding between the coordinate axes in such a w...

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  7. The lines 2x+3y=6, 2x+3y=8 cut the X-axis at A, B respectively. A line...

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  8. The slope of a straight line passing through A(-2, 3) is -4//3. The po...

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  9. The middle point of line segment joining (3,-1) and (1,1) is shifted b...

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  10. The point p(1,1) is translated parallel to 2x=y in the first quadrant ...

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  11. The line joining the points A(2,0) and B(3,1) is rotated through an an...

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  12. The parametric equations of the line are give by x=-2+r/(sqrt(10)) and...

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  13. A straight line passes through (4,5) and makes an angle 60^(@) with x-...

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  14. If the straight line through the point P(3,4) makes an angle pi//6 wit...

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  15. The distance of the point (2,3) from the line 2x-3y+9=0 measured along...

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  16. A straight line L is drawn through the point A(2,1) is such that its p...

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  17. If one vertex of an equilateral triangle of side a lies at the origin ...

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  18. A(-1,1)B(5,3) are the opposite vertices of a square. Perpendicular dis...

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  19. The equation of line midway between the lines 2x-y+3=0,y=2x-4 and para...

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  20. The perpendicular distance from origin to the line passing through P(...

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