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If origin is the orthocentre of a triang...

If origin is the orthocentre of a triangle formed bythe points `(cos alpha, sin alpha,0), (cos beta, sin beta,0), (cos gamma, sin gamma,0) ` then `sumcos(2alpha-beta-gamma)= ` -

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. The distance between the circumcentre and the orthocentre of the trian...

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  2. Find the incentre of the DeltaABC with vertices A(0,0,4), B(3,0,4), C(...

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  3. If origin is the orthocentre of a triangle formed bythe points (cos al...

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  4. The x, y, z coordinates of each vertex of a triangle are in A.P. The x...

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  5. A (3,2,0), B(5,3,2), C(-9,6,-3) are three points forming a triangle th...

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  6. A (4,3,5), B(0,-2,2) and C( 3,2,1) are three points. The coordinates o...

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  7. Let A (4, 7, 8), B (2, 3, 4) and C (2, 5, 7) be the position vectors o...

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  8. The locus of equation x^(2)+y^(2)+z^(2)+1=0 is

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  9. The locus of first degree equation in x,y,z is

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  10. The Locus of a point P(x,y,z) which moves in such away that z=C (const...

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  11. The locus of a point which is at a distance of 5 unit from (2,1,-3) is

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  12. Equation to the locus of points which are equal distance from the poin...

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  13. The locus of the point which is equidistant from xy plane and yz - pla...

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  14. The locus of the point which is at a distance of '3' unit from zx-plan...

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  15. The locus of a point which is a distance of '5' unit from xy-plane is

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  16. P is a variable point which moves such that 3PA =2PB. If A(-2,2,3) and...

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  17. Locus of a point 'P' such that PA+PB =4, where A=(2,3,4), B=(-2,3,4) i...

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  18. Locus of x/a+y/b=1 and z = 0 is

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  19. The locus of the point (r sec alpha cos beta, r sec alpha beta, r tan ...

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  20. Locus of point for which the sum of squares of distance from the coord...

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