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If k in I such that underset(nrarroo)(li...

If `k in I` such that `underset(nrarroo)(lim)(cos.(kpi)/(4))^(2n)-(cos.(kpi)/(6))^(2n)=0,` then

A

k must not be divisible by 24

B

k is divisible by 24 or k is divisible neither by 4 nor by 6

C

k must be divisible by 12 but not necessarily by 24

D

None of these

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KVPY PREVIOUS YEAR-MOCK TEST 6-EXERCISE
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  5. If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =

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  6. Solve log(3)(x+2)(x+4)+log(1//3)(x+2) lt 1/2 log(sqrt3)7.

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  7. If k in I such that underset(nrarroo)(lim)(cos.(kpi)/(4))^(2n)-(cos.(k...

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  8. On the set N of all natural numbers define the rational R by aRb iff t...

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  9. Prove that for n=1, 2, 3... [(n+1)/2]+[(n+2)/4]+[(n+4)/8]+[(n+8)/16]+...

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  10. The system of homogenous equations tx+(t+1)y+(t-1)z=0, (t+1)x+ty+(t+...

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  11. Let f(x)a n dg(x) be bijective functions where f:{1, b , c , d}vec{1,2...

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  12. Let omega be a complex cube root unity with omega!=1. A fair die is th...

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  13. Let I= underset(pi//4)overset(pi//3)int (sinx)/x dx, then I belongs to

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  14. The area between the curves y = 2x^4-x^2, the x-axis and the ordinates...

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  16. If f is the centre of a circle inscribed in a triangle ABC, then |vec...

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  17. The number of numbers, that can be formed by using all digits 1,2, 3, ...

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  18. If sum of two numbers is 3, then maximum value of the product of first...

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  19. Suppose that f is a differentiable function with the property that f(x...

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  20. consider the expression 3^(sin^6 x)+3^(cos^6 x) find the minimum value...

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