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A triangle A B C with vertices A(-1,0),B...

A triangle `A B C` with vertices `A(-1,0),B(-2,3/4),` and `C(-3,-7/6)` has its orthocentre at `Hdot` Then, the orthocentre of triangle `B C H` will be `(-3,-2)` (b) `1,3)` `(-1,2)` (d) none of these

A

`(-3,-2)`

B

`(1,3)`

C

`(-1,2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
The orthocenter of triangle BCH is the vertex `A(-1,0)`.
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CENGAGE ENGLISH-COORDINATE SYSYEM -Exercises
  1. Two vertices of a triangle are (4,-3) & (-2, 5). If the orthocentre o...

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  2. In Delta ABC if the orthocentre is (1,2) and the circumcenter is (0,0)...

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  3. A triangle A B C with vertices A(-1,0),B(-2,3/4), and C(-3,-7/6) has i...

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  4. If a triangle A B C ,A-=(1,10), circumcenter -=(-1/3,2/3), and orthoce...

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  5. In the DeltaABC, the coordinates of B are (0, 0), AB=2, /ABC=pi/3 and ...

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  6. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

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  7. A light ray emerging from the point source placed at P(2,3) is reflect...

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  8. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from.

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  10. ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...

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  11. If one side of a rhombus has endpoints (4, 5) and (1, 1), then the ...

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  12. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

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  13. If a straight line through the origin bisects the line passing through...

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  14. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O ...

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  15. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

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  16. Point A and B are in the first quadrant,point O is the origin. If the ...

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  17. Let a,b,c be in A.P and x,y,z be in G.P.. Then the points (a,x),(b,y) ...

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  18. If sum(i-1)^4(x1^2+y 1^2)lt=2x1x3+2x2x4+2y2y3+2y1y4, the points (x1, y...

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  19. The vertices A and D of square A B C D lie on the positive sides of x-...

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  20. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

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