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If (4,0) and (1, -1) are two vertices of...

If (4,0) and (1, -1) are two vertices of a triangle of area 4 square units, then its third vertex lies on

A

x = y

B

5x + 4 + 12 = 0

C

x + 5y = 4

D

5x – y + 5 = 0

Text Solution

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-STRAIGHT LINES-EXERCISE
  1. The straight lines x + y = 0, 3x + y = 4, x + 3y – 4 = 0 form a trian...

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  2. The image of the point (-1, 3) by the line x - y = 0 is

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  3. If (4,0) and (1, -1) are two vertices of a triangle of area 4 square ...

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  4. Three lines px + qy+r=0, qx + ry+ p = 0 and rx + py + q = 0 are concur...

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  5. If each of the points (x,, 4), (-2, y,) lie on the-line joining the p...

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  6. All points lying inside the triangle formed by the points (1, 3), (5,...

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  7. The line segment joining the points (-3,-4) and (1,-2) is divided by ...

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  8. The line segment joining the points (1, 2) and (2,1) is divided by th...

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  9. If the point (5,2) bisects the intercept of a line between the axes t...

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  10. The equation of the line passing through origin and perpendicular to ...

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  11. The image of the point (3, 8) with respect to the line x + 3y = 8 is

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  12. Line x + 2y - 8 = 0 is the perpendicular bisector of AB. If B = (3, 5...

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  13. If the algebraic sum of the distances from the points (2,0), (0, 2) a...

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

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

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

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

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

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

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

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