array l If x= (a+ a r + a r^ 2 + ) y= (b- b r + b r^ 2 - ) and z= (c+ c r^ 2 + c r^ 4 + )…
Mathematics · JEE Main · NTA Exams — Progression and Series
\[\begin{array}{l} \text { If } x=\left(a+\frac{a}{r}+\frac{a}{r^{2}}+\ldots \infty\right) \\ y=\left(b-\frac{b}{r}+\frac{b}{r^{2}}-\ldots \infty\right) \text { and } \\ z=\left(c+\frac{c}{r^{2}}+\frac{c}{r^{4}}+\ldots \infty\right) \text { then } \frac{x y}{z} \text { equals } \end{array}\]
- \(\frac{a c}{b}\)
- \(\frac{a b}{c}\)
- \(\frac{\mathrm{cb}}{\mathrm{a}}\)
- None of these
Answer
(A) a c b
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If sum of first n terms of an A.P. (having positive terms) is given by S_ n = (1+2 T_ n ) (1-T_ n ) where T_…
- If a 1 , a 2 , a 3 , .......a n be an A.P. of non-zero terms, then the value of 1 a _ 1 a _ 2 + 1 a _ 2 a _ 3…
- Let T_ p be the general term of an A.P whose first term is - 1 2 and common difference is 1, then _ r=1 ^ n…
- If g 1 , g 2 are two G.M’s between two numbers a and b, then g _ 1 ^ 2 ~g _ 2 + g _ 2 ^ 2 ~g _ 1 is equal to
- A number consists of three digits which are in GP, the sum of right hand and left hand digits exceed twice…
- If a_ 1 , a_ 2 , a_ 3 a_ n be an AP of non-zero terms then 1 a_ 1 a_ 2 + 1 a_ 2 a_ 3 + + 1 a_ n-1 a_ n is
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT …
- If a 1 , a 2 , a 3 , ................, a n are distinct odd natural numbers not divisible by any prime…
More Progression and Series questions · Browse all practice questions