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If exp { (tan^(2) x -tan^(4) x + tan^(8)...

If exp `{ (tan^(2) x -tan^(4) x + tan^(8) x - tan^(6) x …. ) log_(e) 16 }`, 0 `lt x lt pi // 4 `, satisfies the quadratic equation `x^(2) - 3x + 2 = 0 ` , then value of `cos^(2) x + cos^(4) x ` is

A

`4//5`

B

`21//16`

C

`17//11`

D

`19//31`

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  2. Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...

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  3. If exp { (tan^(2) x -tan^(4) x + tan^(8) x - tan^(6) x …. ) log(e) 16 ...

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  4. If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...

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  6. If the ratio of sum to n terms of two A.P's is (5n+7): (3n+2), then th...

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  7. If H1. H2...., Hn are n harmonic means between a and b(!=a), then the ...

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  8. If three positive real numbers ,b ,c are in A.P. sich that a b c=4 , t...

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  9. For 0 lt x lt pi the values of x which satisfy then relation 9^(1+|cos...

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  10. The sum upto (2n+1) terms of the series a^(2)-(a+d)^(2)+(a+2d)^(2)-(a+...

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  11. Value of (0.36)^(log(0.25) (1/3+1/3^2+1/3^3+....oo))=

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  12. The sum of the series 1+2(1 +1/n)+ 3(1+1/n)^2+.... oo is given by

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  13. If a, b, c are distinct real numbers such that a, b, c are in A.P. and...

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  14. If 0 < theta, phi < pi/2 and x = sum(n=0)^oo sin^(2n) theta, y = sum(n...

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  15. If a,b,c are in H.P. then a-(b)/(2),(b)/(2),c-(b)/(2) are in

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  16. Sum to n terms of the series (1)/((1+x)(1+2x))+(1)/((1+2x)(1+3x))+(1)/...

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  17. If a1,a2,...an are in H.P then the expression a1a2+a2a3+....+a (n-1)a...

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  18. if the sum of the series 2+5/x+25/(x^2)+125/(x^3)+......... Is finite ...

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  19. in a geometric progression consisting of positive terms, each term eq...

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  20. If x=sum(n=0)^oo a^n, y=sum(n=0)^oo b^n, z=sum(n=0)^oo c^n where a,b,c...

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