Sides of a triangle \( A B C ; a, b, c \) are in G.P. If \( r \) be the common ratio of this o... VIDEO
Sides of a triangle \( A B C ; a, b, c \) are in G.P. If \( r \) be the common ratio of this of this G.P., then
(a) \( r \in\left(\frac{\sqrt{5}-1}{2}, \infty\right) \)
(b) \( r \in\left(\frac{\sqrt{5}+1}{2}, \infty\right) \)
(c) \( r \in\left(\frac{\sqrt{5}-1}{2}, \frac{\sqrt{5}+1}{2}\right) \)
(d) \( r \in\left(\frac{\sqrt{5}+1}{2}, \frac{\sqrt{5}+3}{2}\right) \)
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 The first two terms of a geometric progression add up to 12. The sum of third and fourth terms i... 2023-07-03 The value of \( \sum_{n=0}^{1947} \frac{1}{2^{n}+\sqrt{2^{1947}}} \) is equal to
(a) \( \frac{48... 2023-07-03 If \( S \) denote the sum to infinity and \( S_{n} \) the sum of \( n \) terms of the series \( ... 2023-07-03 The number of three digit numbers \( \overline{a b c} \) such that the arithmetic mean of \( b \... 2023-07-03 If \( a, b, c \in R^{+} \)then the minimum value of \( a\left(b^{2}+c^{2}\right)+b\left(c^{2}\ri... 2023-07-03 If \( a_{1}, a_{2}, a_{3}, \ldots a_{2 n+1} \), are in A.P., then \( \frac{a_{2 n+1}-a_{1}}{a_{2... 2023-07-03 Let \( x \) and \( y \) be two 2-digit numbers such that \( \mathrm{y} \) is obtained by reversi... 2023-07-03 Let \( x_{n}, y_{n}, z_{n}, w_{n} \) denotes nth terms of four different arithmetic progressions... 2023-07-03 The sum of all positive integers \( n \) for which \( \frac{1^{3}+2^{3}+\ldots . .+(2 n)^{3}}{1^... 2023-07-03 If \( n \) is the smallest natural number such that \( n+2 n+3 n+ \) \( +99 n \) is a perfect sq... 2023-07-03 Sides of a triangle \( A B C ; a, b, c \) are in G.P. If \( r \) be the common ratio of this o... 2023-07-03 Let \( r_{1}, r_{2}, r_{3}, r_{4} \) be the roots of the equation, \( x^{4}-9 x^{3}+a x^{2} \) \... 2023-07-03 If \( a, b, c, d \in R^{+} \)and \( a, b, c, d \) are in H.P., then
(a) \( a+db+c \)
(b) \( a+bc... 2023-07-03 If \( a_{1} a_{2} a_{3} \ldots a_{n} \) are in H. P. then \( a_{1} a_{2}+a_{2} a_{3}+a_{3} a_{4}... 2023-07-03 Let \( t_{r}=2^{r / 2}+2^{-r / 2} \). Then \( \sum_{r=1}^{10} t_{r}^{2} \) is equal to
(a) \( \f... 2023-07-03 If \( 1^{2}+2^{2}+3^{2}+\ldots+2003^{2}=(2003) \) (4007) (334) and (1)
\( (2003)+(2)(2002)+(3)(2... 2023-07-03 If \( x_{1}, x_{2}, \ldots . x_{20} \) are in H.P. and \( x_{1}, 2, x_{20} \) are in G.P.. then ... 2023-07-03 In the given square, a diagonal is drawn and parallel line segments joining points on the adjace... 2023-07-03 The sum of the series \( \frac{x}{1-x^{2}}+\frac{x^{2}}{1-x^{4}}+\frac{x^{4}}{1-x^{8}}+\cdots \)... 2023-07-03 If \( \sum_{r=1}^{n} r^{4}=I(n) \) then \( \sum_{r=1}^{n}(2 r-1)^{4} \) is equal to
- (a) \( I(2... 2023-07-03 Greatest integer by which \( 1+\sum_{r=1}^{30} r \times r \) ! is divisible is
(a) Composite num...