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The orthocentre of the triangle with ver...

The orthocentre of the triangle with vertices
`[2,((sqrt(3)-1))/2],(1/2,-1/2)` and `(2,-1/2)` is

A

`(3/2,(sqrt(3)-3)/6)`

B

`(2,-1/2)`

C

`(5/4,(sqrt(3)-2)/4)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-SELF ASSESSMENT TEST
  1. Orthocentre of the triangle formed by the lines x+y=1 and xy=0 is

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  2. The incentre of triangle with vertices (1, sqrt(3)), (0,0) and (2, 0) ...

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  3. The orthocentre of the triangle with vertices [2,((sqrt(3)-1))/2],(1...

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  4. Consider three points P=(-sin (beta-alpha),-cos beta), Q=(cos (beta-a...

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  5. The locus of a point which moves so that its distance from x-axis is d...

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  6. Let P be the point (1,0) and Q a point on the locus y^2 = 8x. The locu...

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  7. Locus of the centroid of a triangle whose vertices are (a cos t, a sin...

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  8. The line y=x meets y=ke^(x),kle0 at

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  9. Let O (0,0),P(3,4),Q(6,0) be the vertices of the triangle OPQ. The poi...

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  10. Let A (2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroi...

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  11. If the vertices P,Q,R of a triangle PQR are rational points, which of ...

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  12. A straight line through the vertex P of a trinagle PQR intesect the si...

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  13. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x...

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  14. The lines 3x+4y+7=0 and 4x+3y+5=0are perpendicular.

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  15. The lines ax+by+c=0 an Ax+By+C=0 are perpendicular of aA+bB=0.

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  16. The points (1,2) and (3,4) are on the same side of line 2x-3y+5=0

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  17. If the points (-2,-5),(2,-2),(8,a) are collinear, then the value of a ...

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  18. A,B,C are the points (-2,-1),(0,3),(4,0). Then the co ordinates of th...

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  19. If the sum of the distances of a point from two perpendicular lines in...

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  20. BE and CF are two medians of DeltaABC whose vertex A is (1,3). The equ...

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