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The set of lines ax + by + c = 0 where ...

The set of lines ax + by + c = 0 where 3a + 2b + 4c = 0 intersect at the point

A

`((3)/(4), (1)/(2))`

B

`((1)/(2), (3)/(4))`

C

`((-3)/(4), (-1)/(2))`

D

`((-1)/(2), (-3)/(4))`

Text Solution

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-STRAIGHT LINES-EXERCISE
  1. If the algebraic sum of the distances from the points (2,0), (0, 2) a...

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  2. If a, b, c are in AP then ax + by +c=0 represents

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  3. The set of lines ax + by + c = 0 where 3a + 2b + 4c = 0 intersect at ...

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  4. If a, b, c are in AP then ax + by + c = 0 will always pass through a ...

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  5. The mid points of the sides of a triangle are (5, 0), (5, 12) and (0,...

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  6. One vertex of the equilateral triangle with centroid at the origin an...

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  7. A (-5,0) and B (3,0) are two of the verti- ces of a triangle ABC. Its...

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  8. The ratio in which the line 3x+4y+2 = 0 divides the distance between...

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  9. If the foot of perpendicular from the origin to a straight line is at...

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  10. A rectangle has two opposite vertices at (1, 2) and (5,5). If the oth...

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  11. If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are co...

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

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

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

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

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

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

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

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

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

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