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If the expression exp {1+|cosx|+cos^(3...

If the expression
exp `{1+|cosx|+cos^(3)x|+cos^(4)x+ . . . . oo)log_(e)4}`
satisfies the equation `y^(2)-20y+64=0" for "0ltxltpi`, then the set of value of x is

A

`{(pi)/(2), 0, (2pi)/(3)}`

B

`{(pi)/(3),(pi)/(2),(2pi)/(3)}`

C

`{(pi)/(3),(2pi)/(3)}`

D

`{(pi)/(2), (pi)/(3)}`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. The value of 0.4bar(23) is

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  2. An equilateral triangle is drawn by joining the mid-points of a given ...

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  3. If the expression exp {1+|cosx|+cos^(3)x|+cos^(4)x+ . . . . oo)log(e...

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  4. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

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  5. In an A.P., (S(p))/(S(q)) = (p^(2))/(q^(2)), p ne q, then (T(6))/(T(21...

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  6. If ||a| lt 1 "and " |b| lt 1 then the sum of the series 1+(1+a)b+(1+a+...

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  7. If exp. {(sin^2x+sin^4x+sin^6x+…inf.) In2} satisfies the equation x^2-...

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  8. The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d....

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  9. The value of (0*16)^(log(2*5)((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+....oo))...

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  10. If the sum of an infinitely decreasing G.P. is 3, and the sum of the s...

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  11. The sum of an infinite geometric progression (G.P.) is 2 and the sum o...

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  12. Consider an infinite geometric series with first term a and common rat...

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  13. If S(lambda) = sum(r = 0)^(oo) (1)/(lambda^(r)),"then" sum(lambda = 1)...

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  14. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

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  15. If a,b,c are in A.P. as well as in G.P. then

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  16. If a,b,c are in G.P., then show that : a(b^2+c^2)=c(a^2+b^2)

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  17. If x, y ,z are in G.P. and a^x = b^y = c^z , then :

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  18. log(3) 2, log(6) 2, log(12)2 are in

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  19. If a, b, c are in G.P., then log(a) 10, log(b) 10, log(c) 10 are in

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  20. If (a + be^(x))/(a-be^(x)) = (b + ce^(x))/(b-ce^(x)) = (c+de^(x))/(c -...

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