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If area of the triangle formed by the li...

If area of the triangle formed by the line L perpendicular to `5x-y=1` and the coordinate axes is 5, then the distance of L from the origin is

A

`5sqrt(2)`

B

`5//sqrt(13)`

C

`5sqrt(13)`

D

none of these

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -EXERCISE (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

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  2. If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...

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  3. If area of the triangle formed by the line L perpendicular to 5x-y=1 a...

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  4. The area enclosed by the lines |x|+|y|=2 is

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  5. If the circumcentre of a triangle lies at the point (a, a) and the cen...

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  6. If A(at^2, 2at), B((a)/(t^2) , - (2a)/(t)) and C(a, 0) be any three po...

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  7. Show that the reflection of the line px+qy+r=0 in the line x+y+1 =0 is...

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  8. Coordinates of the vertices B and C of the base of a triangle ABC are ...

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  9. If the line sqrt(5)x=y meets the lines x = 1, x = 2, ….. x = n at poin...

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  10. One diagonal of a square is the portion of the line 3x+2y=12 intercept...

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  11. If y=m(i)x+(1)/(m(i)(i=1,2,3) represents three stright lines whose slo...

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  12. If the system of equations a1x+b1y+c1, a2x+b2y+c2=0 is inconsistent, a...

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  13. Reflection of the line x+y+1=0 in the line lx+my+n=0 is

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  14. ABCD is square in which A lies on positive y-axis and B lies on the po...

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  15. ABCD is a rhombus. Its diagonals AC and BD intersect at the point M an...

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  16. A straight line passes through the point (-5,2) and the portion of the...

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  17. The equation ax^(2)+2hxy+by^(2)=0 represents a pair of perpendicular l...

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  18. The equation ax^(2)+2hxy+ay^(2)=0 represents a pair of coincident line...

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  19. The equation ax^2+by^2+cx+cy=0 c !-=0 represents a pair of straight li...

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  20. The equation x^(2)-6x^(2)y+11xy^(2)-6y^(3)=0 represents three straight...

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