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If a ,b ,a n dc are in G.P. then prove t...

If `a ,b ,a n dc` are in G.P. then prove that `1/(a^2-b^2)+1/(b^2)=1/(b^2-c^2)dot`

A

`(1)/(c^(2)-b^(2))`

B

`(1)/(b^(2)-c^(2))`

C

`(1)/(c^(2)-a^(2))`

D

`(1)/(b^(2)-a^(2))`

Text Solution

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The correct Answer is:
B
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CBSE COMPLEMENTARY MATERIAL-SEQUENCES AND SERIES -SECTION-A(MCQ)
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  2. alpha and beta are the roots of the equation x^(2)-3x+a=0 and gamma a...

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  3. If A be the arithmetic mean between two numbers and S be the sum of n ...

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  4. The mth term of an A.P. is (1)/(n) and nth term is (1)/(m). Its (mn)th...

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  5. Insert n geometric means between a and b.

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  6. What is the 15^(th) term of the series 3, 7, 13, 21, 31, 43, …….?

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  7. If a ,b ,a n dc are in G.P. then prove that 1/(a^2-b^2)+1/(b^2)=1/(b^2...

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  8. If the 10th term of a GP is 9 and 4th term is 4, then what is its 7th ...

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  9. If the arithmetic and geometric means of two numbers are 10, 8 respect...

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  10. What is the sum of numbers lying between 107 and 253, which are divisi...

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  11. Find the sum of all two digit numbers which when divided by 4, yiel...

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  12. The first and last terms of an A.P. are 1 and 11. If the sum of its...

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  13. If four numbers in A.P. are such that their sum is 50 and the great...

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  14. If the first second and last terms of an A.P. are a, b and 2a respecti...

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  15. If pth, qth, rth terms of an A.P. are in G.P. then common ratio of ths...

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  16. The n^(th) term of a GP is 128 and the sum of its n terms is 255. If i...

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  17. If A be one A.M. and p ,q be two G.M. ' s between two numbers, then 2A...

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  18. In a GP if the (m+n)th term is p and (m-n)th term is q then mth term i...

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  19. If sumn=210, then sumn^2=

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  20. The sum of 10 terms of the series sqrt2 + sqrt6 + sqrt18 +... is

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