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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:
B
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(4)(MULTIPLE CHOICE QUESTIONS)
  1. The incentre of the triangle formed by axes and the line x/a+y/b=1 is

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  2. The line 3x+4y-24=0 cuts the x -axis at A and y-axis at B. Then the in...

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

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  4. Orthocentre of triangle whose vertices are (0,0),(3,4),(4,0) is

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  5. The orthocenter of the triangle formed by (0,0),(8,0),(4,6) is

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  6. Let the vertices of a triangle (0,0),(3,0) and (0,4) its orthocentre i...

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  7. The orthocentre of the triangle formed by the lines xy=0 and x+y=1 is

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  8. Orthocentre of the triangle formed by joining the points (4,1/4),(3,1/...

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

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  10. The equations to the sides of a triangle are x-3y=0, 4x+3y=5 and 3x+y=...

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  11. The algebraic sum of the perpendicular distance from A(x(1),y(1)),B(x(...

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  12. One side of an equilateral triangle is the line 3x+4y+8=0 and its cent...

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  13. The circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and...

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  14. A point equidistant from the line 4x + 3y + 10 = 0, 5x-12y + 26 = 0 an...

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  15. If the orthocentre and centroid of a triangle are (-3, 5) and (3, 3) t...

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  16. Of the three lines x+sqrt(3)y=0,x+y=1 and x-sqrt(3)y=0 two are equatio...

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  17. Vertics of a triangle ABC are the points (0,0),(a,0) and (a/2,(asqrt(3...

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  18. The vertices of a triangle OAB are (0,0),(a,0) and (0,b) respectively...

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  19. The vertices of a triangle are (1,2) (2,1) and {1/2(3+sqrt(3)),1/2(3+s...

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  20. p(1),p(2),p(3) are the distances of points (1,1),(2,0) and (0,2) from ...

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