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Let `a, b, c` be three non-zero vectors which are pairwise non-collinear. If `a + 3b` is collinear with cand `c` and `b + 2c` is collinear with `a,` then `a + b + 6c` is

A

`lamdaa`

B

`lamdab`

C

`lamdac`

D

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The correct Answer is:
D
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 21-PAPER 2 (MATHEMATICS)
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  2. The number of solutions of the following equations x(2)-x(3)=1,-x(1)+2...

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  3. Number of tangents from (7,6) to ellipse (x^(2))/(16)+(y^(2))/(25)=1 i...

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  4. The maximum value of Z =x +3y such that 2x +y le 20, x +2y le 20, x g...

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  5. Which of the following statements is not correct for the R by aRb if a...

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  6. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

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  7. Let f be a function defined for all x in R. If f is differentiable and...

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  8. int x^(2) sin x dx is equal to

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  9. The solution of the differential equation ye^(x//y)dx=(xe^(x//y)+y^(...

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  10. If a=hati+2hatj+2hatkand b=3hati+6hatj+2hatk, then the vector in the ...

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  11. The element in the first row and third column of the inverse of the ma...

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  12. The foci of an ellipse are (0,pm4) and the equations for the directtic...

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  13. lim(x to a) (x^(m)-a^(m))/(x^(n)-a^(n)) is equal to

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  14. The area of the triangle having vertices as hati-2hatj+3hatk,-2hati+3h...

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  15. if y = sec ( tan^(-1) x) then (dy)/(dx) is

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  16. int(x dx)/(x^(2)+4x+5) is equal to

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  17. lim(x to 0)(x)/(tan^(-1)2x) is equal to

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  18. The angle between the tangents drawn from the point (1,4) to the par...

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  19. int(1/2)^2 1/x sin^(101) (x-1/x) dx=

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  20. Let a, b, c be three non-zero vectors which are pairwise non-collinea...

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