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If a,b,c are in G.P., then show that : a...

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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If a,b,c are in G.P.,prove that: a(b^(2)+c^(2))=c(a^(2)+b^(2))A^(2)b^(2)c^(2)((1)/(a^(3))+(1)/(b^(3))+(1)/(c^(3)))=a^(3)+b^(3)+c^(3)((a+b+c)^(2))/(a^(2)+b^(2)+c^(2))=(a+b+c)/(a-b+c)(1)/(a^(2)-b^(2))+(1)/(b^(2))=(1)/(b^(2)-c^(2))(a+2b=2c)(a-2b+2c)=a^(2)+4c^(2)

If a,b,c,d………are in G.P., then show that (a+b)^2, (b+c)^2, (c+d)^2 are in G.P.

If a,b,c,d………are in G.P., then show that (a-b)^2, (b-c)^2, (c-d)^2 are in G.P.

If a, b, c , d are in G.P. , then shown that (i) (a + b)^(2) , (b +c)^(2), (c + d)^(2) are in G.P. (ii) (1)/(a^(2) + b^(2)), (1)/(b^(2) +c^(2)), (1)/(c^(2) + a^(2)) are in G.P.

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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. 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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  2. If a,b,c are in A.P. as well as in G.P. then

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

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

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

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

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  8. If a,b,c are in A.P., a,x,b are in G.P. and b,y,c are in G.P. then a^(...

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  9. If x, y, z are in G.P. and tan^(-1) x, tan^(-1)y and tan^(-1)z are in ...

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  10. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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  11. The sides a, b, c of a triangle ABC are in G.P. such that log a - log ...

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  12. If a, b, c are in G.P. where a, b, c are all (+) ive and "log" (5c)/(a...

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  13. If A and G between two + ive numbers a and b are connected by the rela...

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  14. The product of n geometric means between two given numbers a and b is ...

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  15. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n)may be the geo...

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  16. (2n+1) G.M.s are inserted between 4 and 2916 .Then the (n+1)^(th) G.M....

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  17. Area of the triangle with vertces (a,b),(x(1),y(1)) and (x(2),y(2)) wh...

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  18. If log(t)a, a^(t//2) and log(b)t are in G.P., then t is equal to

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  19. Sum of the series (sqrt(3) - 1) + 2 (2 - sqrt(3)) + 2 (3 sqrt(3) - 5)+...

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  20. Let n > 1, be a positive integer. Then the largest integer m, such tha...

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