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If a,b,c are in A. P. then a/(bc), 1/c, ...

If a,b,c are in A. P. then `a/(bc), 1/c, 2/b` will be in-

A

A.P.

B

G.P.

C

H.P.

D

none of these

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The correct Answer is:
D
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If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P. c. H.P. d. none of these

If a. b, c are in A.P, then show that 1/(bc) , 1/(ca) , 1/(ab) are also in A.P.

If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a b) are in A.P.

If a^2, b^2, c^2 are in A.P , then prove that 1/(b+c), 1/(c+a),1/(a+b) are in A.P

If a, b, c are in A.P. then show that, a((1)/(b)+(1)/(c )), b((1)/(c )+(1)/(a)) and c((1)/(a)+(1)/(b)) are also in A.P.

If a, b, c are in H.P., prove that, (1)/(bc), (1)/(ca), (1)/(ab) are in H.P.

If a, b, c are in A.P., show that, (bc)/(a(b+c)), (ca)/(b(c+a)) and (ab)/(c(a+b)) are in H.P.

If a, b, c are in G.P., show that a^(2) + b^(2), ab + bc and b^(2) + c^(2) are also in G.P.

If a, b, c are In A.P., then show that, a^(2)(b+c), b^(2)(c+a), c^(2)(a+b) are in A.P. (ab+bc+ca != 0)

If a ,b ,c are in A.P., then prove that the following are also in A.P. a^2(b+c),b^2(c+a),c^2(a+b)

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 2
  1. The number of diagonals of a polyogn of 20 sides is-

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  2. 10^(n) +3.4 ^(n+2)+5 is always divisible by (for all n in N)-

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  3. If a,b,c are in A. P. then a/(bc), 1/c, 2/b will be in-

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  4. If omega is an imaginary cube root of unity, then the value of (1+ ome...

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  5. The roots of the equation x^(2)-(1-2i) x-2i =0 are -

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  6. State which of the following is not true:

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  7. A die is thrown. If the shows six, we drawna ball from a bag contining...

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  8. The mean deviation about of the set of numbers 7,9,24,14 and 26 is-

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  9. If S(n) =nP +1/2 n (n-1) Q, where S(n) is the sum of first n terms of ...

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  10. In n parallel lines in a plane are intersected by a family of m parall...

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  11. If 0 le x le 1, then the minimum value of (x^(2) +x+1)is-

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  12. How many terms are there in the expansion of (4x+7y)^(10) +(4x-7y)^(10...

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  13. If u(1) =sqrt2, u(2) =sqrt(2sqrt(2)), u(3) =sqrt(2sqrt(2sqrt2)),... th...

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  14. The real values of x and y for which the complex numbers 9y^(2)-4- 10 ...

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  15. The value of (2 ^(1/4). 4 ^(1/8)8^(1/16)...oo)is-

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  16. If omega is a complex number such that omega ^(3) =1, then the value o...

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  17. The first three terms in the expansion of (1+ ax) ^(n) are 1, 6x and ...

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  18. A coin an a six faced die both unbiased are thrown simulaneously. The ...

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  19. The sum of the series (1)/(sqrt1+sqrt2)+ (1)/(sqrt2+ sqrt3)+ ...+ (1)/...

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  20. Solution set of the inequation 10 le -5 (x-2) lt 20 is-

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