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If a straight line L is perpendicular to the line `4x-2y=1` and forms a triangle of area 4 square units with the coordinate axes, then an equation of the line L is

A

`2x+4y+7=0`

B

`2x-4y+8=0`

C

`2x+4y+8=0`

D

`4x-2y-8=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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SIA PUBLICATION-STRAIGHT LINE-EXERCISE (PROBLEMS)
  1. The line joining the points A(2,0) and B(3,1) is rotated through an an...

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  2. The polar equation of the line perpendicular to the line sin theta-cos...

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

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  4. The image of the point (4, -13) with respect to the line 5x+y+6=0 is :

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  5. The image of the line x+y-2=0 in the y-axis is

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  6. A straight line which makes equal positive intercepts on X and Y axes ...

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  7. The area (in square unit ) of the circle which touches the lines 4x+3y...

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  8. The point on the line 3x+4y=5 which is equidistant from (1, 2) and (3,...

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  9. The equation of the straight line perpendicular to the straight line 3...

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  10. If the sum of the distance of a point P from two perpendicular lines i...

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  11. If 1, m, n are in arithmetic progression, then the straight line lx+my...

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  12. The value of k such that the lines 2x-3y+k =0, 3x-4y-13=0 and 8x-11y -...

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  13. The angle between the line joining the points (1,-2), (3,2) and the li...

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  14. If A(2,-1) and B(6,5) are two points. The ratio in which the foot of t...

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  15. The lines x-y-2=0,x+y-4=0 and x+3y=6 meet at the common point

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

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  17. If PM is the perpendicular from P(2,3) onto the line x+y=3, then the c...

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  18. The equation of the straight line perpendicular to 5x-2y=7 and passing...

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  19. Suppose A,B are two points on 2x-y+3=0 and P(1,2) is such that PA=PB. ...

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  20. The polar equation cos theta + 7 sin theta= (1)/(r ) represents a

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