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If (vec a xx vec b)^2 + (veca .vecb)^2 =...

If `(vec a xx vec b)^2 + (veca .vecb)^2` = 676 and `|vecb| = 2`, then `|veca|` is equal to

A

13

B

26

C

39

D

None of these

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KVPY PREVIOUS YEAR-MOCK TEST 10-EXERCISE
  1. Let S be the set of complex number a which satisfyndof log(1/3) { log...

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  2. ("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...

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  3. If P(x) is a polynomial of the least degree that has a maximum equal ...

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  4. if 10! = 2^p3^q5^r7^s then

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  5. Show that the height of the cylinder of maximum volume that can be ...

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  6. If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...

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  7. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...

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  8. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

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  9. If f(x)=cos{(pi)/(2)[x]-x^(3)},1ltxlt2, and [x] denotes the greatest i...

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  10. The number of real solutions of the equation 1+|e^x - 1|= e^x (e^x ...

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  11. If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...

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  12. If the equation (x^2)/3-4x+13=sin(a/x) has a solution then a is equal ...

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  13. If m be the slope of common tangent of y = x^2 - x + 1 and y = x^2 – 3...

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  14. If Sn=^nC0.^nC1+^nC1.^nC2+.....+^nC(n-1).^nCn and if S(n+1)/Sn=15/4 , ...

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  15. The value of integrals int(-2)^(2)max {x+|x|, x-[x]}dx where [.] repre...

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  16. One hundred identical coins, each with probability 'p' of showing head...

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  17. If omega is a complex nth root of unity, then sum(r=1)^n(a+b)omega^(r-...

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  18. If f(n+1)=1/2{f(n)+9/(f(n))},n in N , and f(n)>0fora l ln in N , t...

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  19. An arch way is in the shape of a semi-ellipse, the road level being th...

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  20. Let f(x) be positive, continuous, and differentiable on the interval ...

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