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Two vertices of an equilateral triangle ...

Two vertices of an equilateral triangle are (0,0) and (`3, sqrt(3)`) then the third vertex can be

A

(`sqrt(3), 3`)

B

`(-3, sqrt(3))`

C

`(3, -sqrt(3))`

D

`(-sqrt(3), 3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NEW JOYTHI PUBLICATION-STRAIGHT LINES-EXERCISE
  1. Two vertices of an equilateral triangle are (0,0) and (3, sqrt(3)) th...

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  2. The points (-a, -b), (0, 0), (a, b) and (a^(2), ab) are

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  3. Let P and Q be point on the line joining A(5,6) and B (3, -4) such th...

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  4. Length of median from A to BC of triangle ABC where A (2,5) B (7,-1) ...

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  5. If (3, -4) and (-6,5) are the extremities of the diagonal of a parall...

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  6. The coordinates of the middle points of the sides of a triangle are (...

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  7. The incentre of the triangle ABC where A(-36, 7) B (20,7) and C (0,-8...

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  8. The triangle with vertices A (2,4), B (2,6) and C (2 + sqrt3, 5) is

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  9. The area of the triangle with vertices at the points (a, b + c), (b, ...

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  10. The straight lines x + y = 0, 3x + y = 4, x + 3y – 4 = 0 form a trian...

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

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

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

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

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

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

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

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

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

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

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