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The orthocentre of the triangle formed b...

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

A

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

B

`(1//3,1//3)`

C

`(0,0)`

D

`(1//4,1//4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(4)(MULTIPLE CHOICE QUESTIONS)
  1. The orthocenter of the triangle formed by (0,0),(8,0),(4,6) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Two vertices of a triangle ABC are B(5,-1) and C(-2,3) .If the orthoce...

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  20. If one of the diagonals of a square is along the line x=2y and one of ...

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