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The sum of the intercepts cut off by th...

The sum of the intercepts cut off by the axes on line `x+y=a, x+y =ar, x+=ar^(2), ………. " where " a ne 0 and r=1/2`

A

2a

B

`asqrt2`

C

`2sqrt2a`

D

a

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)
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  4. A stick of length I rests against the floor and a wall of a room. If t...

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

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  7. A line passing through (3,4) meets the axes bar(OX) and bar(OY) at A a...

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  8. The locus of the midpoint of the portion between the axes of xcosalpha...

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  9. A staight line through the point A(3,4) is such that its intercept bet...

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  10. A line is drawn through the point (1,2) to meet the coordinate axes at...

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  11. A variable line x//a+y//b = 1 moves in such a way that the harmonic me...

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  12. Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The po...

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  13. Two medians drawn from the acute acute angles of a right-angled triang...

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  14. The equation of the diangonal OB of the rectangle given in the diagram...

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  15. Let A be any point on the x-axis and B=(2,3). The perpendicular at A t...

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  16. If the equation of the locus of a point equi-distant from the points (...

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  17. The area bounded by the curve : max {absx,asbsy}=5 is

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  18. The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into...

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  19. A system of lines is given as y=m1x+c1," where " m1 can take any val...

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  20. The base of a triangle lies along the line x=a and is of length a. The...

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