11. Find the number of geometric means inserted between 1 and 243 in which the ratio of the first mean to the last mean is 1:27.

SUBSCRIBE TO OUR NEWSLETTER
You May Also Like
Q. Prove the following: 1+3cos(theta)-4cos^3(theta)/1-cos(theta) = (1+2cos(theta))^2 Soln: ...
Q. Prove that: (cos5a.sin2a-cos4a.sin3a)/(sin5a.sin2a-cos4a.cos3a) = cot2a Soln: L.H.S. = (cos5a.sin2a-cos4a.sin3a)/(sin5a.sin2a-cos4a.cos3a) Multiply numerator and denominator by 2. = 2(cos5a.sin2a - ...
Q. Use remainder theorem to find remainder when polynomial x^6-1 is divided by x+1. Soln: Remainder Theorem: Statement: “When polynomial f(x) is divided x-a then remainder is f(a).” Here, f(x) = x^6-1 Comparing ...
Q. Prove that: (cos40 – sin40)/(cos40 + sin40) = tan5 Soln: RHS = tan5 = tan(45 – 40) ...
Q. Prove that: 2tan50 + tan20 = cot20 Sometimes this question can be asked like this: Prove that: 2tan50 + tan20 = tan70 For now, we have to prove: Prove that: 2t ...