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If the vectors ahati+hatj+hatk, hati+bha...

If the vectors `ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1, b!=1,c!=1)` are coplanat then the value of `1/(1-a)+1/(1-b)+1/(1-c)` is (A) 0 (B) 1 (C) -1 (D) 2

A

1

B

`-1`

C

0

D

none of these

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A
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FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. Let veca=a(1)hati+a(2)hatj+a(3)hatk, vecb=b(1)hati+b(2)hatj+b(3)hatk a...

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  2. The vector vec a has the components 2p and 1 w.r.t. a rectangular ...

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  3. If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1,...

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  4. let vec b = 4 hat i + 3 hat jLet vec c be a vector perpendicular to ve...

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  5. If vec xa n d vec y are two non-collinear vectors and a, b, and c ...

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  6. If a makes the same angle alpha, with the lines vec( r )=lambda(hati+h...

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  7. A plane meets the coordinate axes at A, B, C such that the centroid of...

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  8. The direction cosines of two lines are related by l + m + n = 0 and al...

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  9. Projection of the line x+y+z-3=0=2x+3y+4z-6 on the plane z=0 is

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  10. The distance of the point (1,-2,3) from the plane x-y+z=5 measured par...

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  11. (l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)) are the direction c...

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  12. A plane a constant distance p from the origin meets the coordinate axe...

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  13. The equations to the straight line through (a, b, c) parallel to the z...

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  14. if the lines (x-1)/2=(y-1)/3=(z-1)/4 and (x-3)/2=(y-k)/1=z/1 intersect...

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  15. The shortest distance between a diagonal of a cube, of edge-length one...

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  16. The planes x=cy+bz,y=az+cx,z=bx+ay intersect in a line if (a+b+c)^(2) ...

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  17. A square ABCD of diagonal length 2a, is folded along the diagonal AC s...

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  18. "Let "plambda^(4) + qlambda^(3) +rlambda^(2) + slambda +t =|{:(lambda^...

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  19. The solution set of the equation |{:(1,4,20),(1,-2,5),(1,2x,5x^(2)):}|...

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  20. The system of equations lambdax+y+z=0,-x+lambday+z=0,-x-y+lambdaz=0 wi...

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