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If vec(a) bot vec(b) and (vec(a) + vec(b...

If `vec(a) bot vec(b) and (vec(a) + vec(b)) bot (vec(a) + mvec(b))`, then m=

A

`-1`

B

1

C

`(-|vec(a)|^(2))/(|vec(b)|^(2))`

D

0

Text Solution

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The correct Answer is:
C
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KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2013-Mathematics
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  2. If vec(a) = (1,2,3), vec(b) = (2,-1,1), vec(c ) = (3,2,1) and vec(a) x...

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  3. If vec(a) bot vec(b) and (vec(a) + vec(b)) bot (vec(a) + mvec(b)), the...

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  4. If vec(a), vec(b), vec(c ) are unit vectors such that vec(a) + vec(b) ...

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  5. If vec(a) is vector perpendicular to both vec(b) and vec(c ), then

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  6. A tangent is drawn to the circle 2x^(2) + 2y^(2) -3x + 4y = 0 at the p...

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  7. The area of the circle having its centre at (3,4) and touching the lin...

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  8. The number of real circles culting orthogonally the circle x^(2) + y^(...

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  9. The length of the chord of the circle x^(2) + y^(2) + 3x + 2y -8 = 0 i...

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  10. A -= (cos theta , sin theta), B -= (sin theta, -cos theta) are two poi...

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  11. The sum of the squares of the eccentricities of the conics (x^(2))/(4)...

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  12. The equation of the tangent to the parabola y^(2) = 4x inclined at an ...

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  13. If the distance between the foci and the distance between the directri...

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  14. If the area of the auxilliary circle of the ellipse (x^(2))/(a^(2)) + ...

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  15. cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=

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  16. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

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  17. The general solution of sin x - cos x= sqrt2, for any integer 'n' is

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  18. The modulus and amplitude of (1 + 2i)/(1-(1-i)^(2)) are

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  19. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

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  20. If x+ y = tan^(-1) y and (d^(2)y)/(dx^(2)) =f (y) (dy)/(dx), then f(y)...

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