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The equation of a line whose inclination is `(5pi)/(6)` and which cuts off an intercept of 4 units on negative direction of y-axis is (i) `x+sqrt(3)y+4sqrt(3)=0` (ii) `x-sqrt(3)y+4sqrt(3)=0` (iii) `x+sqrt(3)y-4sqrt(3)=0` (iv) `x-sqrt(3)y-4sqrt(3)=0`

A

`x+sqrt(3)y+4sqrt(3)=0`

B

`x-sqrt(3)y+4sqrt(3)=0`

C

`x+sqrt(3)y-4sqrt(3)=0`

D

`x-sqrt(3)y-4sqrt(3)=0`

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The correct Answer is:
A
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{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

ICSE-STRAIGHT LINES -Multiple Choice Questions
  1. The equation of line passing through (2,-3) and making an angle of 120...

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  2. The inclination of the line x-y+3=0 with the positive direction of x-a...

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  3. The equation of a line whose inclination is (5pi)/(6) and which cuts o...

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  4. The equation of the line through (-1,5) making an intercept of -2 on y...

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  5. The equation of the line which cuts of intercept 4 on x-ais and makes ...

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  6. If the straight line y=mx+c passes through the points (2,4) and (-3,6)...

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  7. A line passes through P(1,2) such that the portion of the line interce...

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  8. The equation of a straight line on which the perpendicular from the or...

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  9. The two lines ax+by+c=0 and a'x+b'y+c'=0 are perpendicular if (i) ab'...

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  10. The angle between lines y=(2-sqrt(3))x+5 and y=(2+sqrt(3))x+7 is

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  11. The ratio in which the line segment joining (-1,1) and (5,7) is divide...

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  12. If the image of the point (-3,k) in the line 2x+y-2=0 is the point (1,...

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  13. The coordinates of the orthocentre of the triangle whose sides lie alo...

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  14. The coordinates of the circumcentre of the triangle whose vertices are...

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  15. If the lines (x)/(3)+(y)/(4)=5 and 3x+ky=9 are perpendicular to each t...

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  16. If the lines 2x+y-3=0,5x+ky-3=0 and 3x-y-2=0 are concurrent, then the ...

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  17. The equation of the line passing through (1,2) and perpendicular to x+...

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  18. If p is the length of perpendicular from the origin on the line x/a+y/...

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  19. The distance of the point P(1,-3) from the line 2y-3x=4 is (A) 13 ...

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  20. The coordinates of the foot of the perpendicular from the point (2,3) ...

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