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The lines 2x+3y=6, 2x+3y=8 cut the X-axi...

The lines `2x+3y=6, 2x+3y=8` cut the X-axis at A, B respectively. A line `l` drawn through the point (2, 2) meets the X-axis at C in such a way that abscissae of A, B and C are in arithmetic progression. Then the equation of the line `l` is

A

`2x+3y=10`

B

`3x+2y=10`

C

`2x-3y=10`

D

`3x-2y=10`

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The correct Answer is:
A
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AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET(EXERCISE-I Problems on slopes, Equation of Lines and Interceptes of a line , Areas) (LEVEL -I Straight Objective Type Question)
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  2. The equation of the straight line which bisects the intercepts between...

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

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  4. If h denote the arithmetic mean, k denote G.M. of the intercepts made ...

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  5. The area of the triangle formed by the axes and the line cos h alpha- ...

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  6. If a straight line L is perpendicular to the line 4x-2y=1 and forms a ...

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  7. The line x/a+y/b=1 meets the axis of x and y at A and B respectively a...

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  8. The area of the triangle formed by line y=ax , x+y-a=0 and y axis is

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  9. OPQR is a square and M,N are the middle points of sides PQ and QR resp...

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  10. If P=(1/(Xp),p),Q=P=(1/(Xq),q),R=(1/(x^r),r) " where " xk ne 0, " den...

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  11. The area of a parallelogram formed by the line axpmbypmc=0 is

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  12. If the area of the rhombus enclosed by the lines lxpmmypmn=0 be 2 sp u...

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  13. The area enclosed by 2absx+3absyle6 is

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  14. If f(x+y)=f(x)f(y) for all x and y if f(1)=2, then area enclosed by 3a...

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  15. Given A(0, 0) and B(x, y) with x in (0, 1) and y gt 0. Let the slope o...

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  16. If from point P(4,4) perpendiculars to the straight lines 3x+4y+5 and ...

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  17. A point moves in the xy - plane such that th sum of its, distances fro...

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  18. The line x+y=p meets the x-and y-axes at A and B, respectively. A tri...

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  19. P(m,n)(where m,n are natural numbers) is any point in the interior of ...

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  20. If P(alpha,beta), abgt0 " and the variable line " x/a+y/b=1 " is draw ...

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