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If 0 lt phi lt pi//2 , and x = sum(n = 0...

If 0 `lt phi lt pi//2 , and x = sum_(n = 0)^(infty) cos^(2n) phi, y = sum_(n=0)^(infty) sin^(2n ) phi and z = sum_(n=0)^(infty) cos^(2n) phi sin^(2n) phi, `then

A

xyz = xz + y

B

xyz = xy + z

C

xyz = x + y + z

D

xyz = yz + zx

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A
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. (666 …. N digits)^(2) + (888 …. N digits ) =

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  2. If the sum of three numbers in a G.P is 26 and the sum of products two...

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  3. If 0 lt phi lt pi//2 , and x = sum(n = 0)^(infty) cos^(2n) phi, y = su...

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  4. If the sum of three numbers in G.P is 21 and their product is 216, the...

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  5. If the sum of three numbers in G.P is 7/64 and the product of the extr...

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  6. If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) ...

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  7. Let S(1),S(2),S(3), …. Are squares such that for each nge1, The lengt...

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  8. In G.P (p + q)th term is m, (p -q)th term is n, then pth terms is

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  9. If 2pth term of a G.P is q^(2) and 2qth term is P^(2) , then (p + q)th...

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  10. If g(1), g(2), g(3) are three geometric means between two positive num...

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  11. What is the G.M. of 6 and 24?

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  12. One of the 5 geometric means between (1)/(3) and 243 is

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  13. If x,y,z are the three geometric means between 6,54, then z =

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  14. IF the A.M and G.M of two numbers are 13 and 12 respectively. Find the...

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  15. Let x be the arithmetic mean y,z be the two geometric means between an...

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  16. 10th term of the hearmenie progression is (2)/(1) + 2 (1)/(2) + 3 (1)/...

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  17. If the fourth term of a H.P is 1/3 and 7th term is 1/4, then 16th term...

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  18. If the third and seventh terms of a H.P. are 1/7, 1/15 respectively, t...

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  19. If mth terms of H.P is n and nth term is m, then (m + n)th term is

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  20. If a,b,c are in H.P and ab + bc ca = 15, then ca =

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