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A straight line through the point (2, 2)...

A straight line through the point (2, 2) intersects the lines `sqrt3 x + y = 0` and `sqrt3 x - y = 0` at the points A and B. The equation of AB so that the triangle OAB is equilateral, where O is the origin.

A

x - 2 = 0

B

y - 2 = 0

C

x + y - 4 = 0

D

x+y+z = 0

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The correct Answer is:
B
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NEW JOYTHI PUBLICATION-STRAIGHT LINES-EXERCISE
  1. If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are co...

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  2. The distance of the point (3, 5) from the line 2x + 3y - 14 = 0 measu...

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  3. A straight line through the point (2, 2) intersects the lines sqrt3 x...

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  4. If the extremities of the base of an isosce- les triangle are the poi...

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  5. The equation of the line passing through the intersection of x - sqrt...

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  6. The equations of the lines through (-1,-1) and making angles 45^(@) w...

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  7. If the vertices of a diagonal of a square (-2, 4) and (-2, 2) then it...

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  8. The orthocentre of the triangle formed by the lines x = 0, y = 0 and ...

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  9. The foot of the perpendicular from the point (3,4) on the line 3x – 4...

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  10. The coordinates of the image of the origin O w.r.t the line x + y + 1...

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  11. The incentre of the triangle with vertices (1, sqrt3) (0,0) (2,0) is

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  12. The angle between the lines 2x - y+3 = 0 and x + 2y + 3 = 0 is

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  13. Distance between the lines 5x + 3y-7 = 0 and 15x +9y + 14 = 0 is

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  14. The equation of the straight line passing through the point (4, 3) an...

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  15. The third vertex of an equilateral triangle whose vertices are (2, 4),...

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  16. The area enclosed by the curve |x| + |y| = 1 is

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  17. The area enclosed by the curves ax +- by +- c =0 where a, b, c gt 0

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  18. The lines ax + 3y + 19 = 0 and 9x + 6y-17 = 0 cut the coordinate axes...

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  19. The point on the line 3y - 4x + 11 = 0 equidistant from (3, 2) and (-2...

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  20. The vertices of a triangle have integer co- ordinates then the triang...

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