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The sides a, b, c of a triangle ABC are ...

The sides a, b, c of a triangle ABC are in G.P. such that `log a - log 2b, log 2b - log 3c, log 3c - log a` are in A.P. then the triangle ABC is

A

right angled

B

acute angled

C

obtuse angled

D

none

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The correct Answer is:
To solve the problem, we need to analyze the given conditions step by step. ### Step 1: Understanding the Given Conditions We are given that the sides \( a, b, c \) of triangle \( ABC \) are in Geometric Progression (G.P.). This means that there exists a common ratio \( r \) such that: \[ b = ar \] \[ c = ar^2 \]
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. 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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  2. If x, y ,z are in G.P. and a^x = b^y = c^z , then :

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

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

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

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  6. 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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  7. 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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  8. 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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  9. The sides a, b, c of a triangle ABC are in G.P. such that log a - log ...

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

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

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

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  13. 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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  14. (2n+1) G.M.s are inserted between 4 and 2916 .Then the (n+1)^(th) G.M....

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

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

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

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

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  19. Leta(1),a(2),"...." be in AP and q(1),q(2),"...." be in GP. If a(1)=q(...

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  20. Let A(n) = (3)/(4) - ((3)/(4))^(2) + ((3)/(4))^(3)-...+ (-1)^(n-1) ((3...

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