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If the line 2x+y=k passes through the po...

If the line `2x+y=k` passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3:2, then k equals

A

`29/5`

B

`5`

C

`6`

D

`11/5`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE
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  2. A square of side "a" lies above the x-axis and has one vertex at the o...

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  3. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

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  4. If the line 2x+y=k passes through the point which divides the line seg...

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  5. The line parallel to the x-xis and passing through the intersection of...

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  6. The equation of the line passing through (1,1) and makes an angle pi//...

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  7. Let P(-1,0), Q(0,0) and R(3,3sqrt(3)) be three points. The equation of...

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  8. If (a,a^(2)) falls inside the angle made of the lines y=x/2,xgt0 and y...

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  9. The equations of perpendicular bisectors of sides AB, BC of Delta ABC ...

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  10. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0 are per...

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  11. The lines x+y=|a| and ax-y=1 intereset each other in the first quadant...

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  12. Find the number of points , having both co- ordinates as integers , th...

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  13. The orthocentre of the triangle formed by the lines x-2y+9=0,x+y-9=0,...

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  14. Number of points with integral coordinates which lie inside the triang...

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  15. A light ray emerging from the point source placed at P(1,3) is reflect...

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  16. If A(3,4) and B is a variable point on the lines |x|=6.If ABle4 then n...

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  17. The base of an equilateral triangle is along the line given by 3x+4y=9...

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  18. If slope of line (cos theta+sin theta)x+(sin 2 theta)y=1 when theta=(p...

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  19. A straight line through origin O meets the lines 3y=10-4x and 8x+6y+5=...

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  20. A ray of light is incident along a line which meets another line 7x-y+...

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