Home
Class 12
MATHS
If the sides of a trianglr are three con...

If the sides of a trianglr are three consecutive terms of a G.P. then show that `0 lt r lt (1)/(2) (sqrt(5) + 1)`, where r is the common ratio of the G.P.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Example|7 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 A (Multiple Choice Questions)|4 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

If the sides of a triangle are three consecutive termsof a G.P. then show that '1

If x = a - (1)/(a), y = b - (1)/(b) and z = c - (1)/(c ) and a, b, c are in G.P., then show that (x+z)/(y) = r + (1)/(r ) , where r is the common ratio of the G.P.

The first terms of a G.P. is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

The sum of first 6 terms of a G.P. is 9 times the sum of its first 3 terms. Find the common ratio of the G.P.

If x,x^(2) and 8 are three consecutive terms of G.P. then which of the following is the value of x ?

If each term of an infinite G.P. is twice the sum of the terms following it, then find the common ratio of the G.P.

The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.

Let t_(r) be the rth term of an A.P. If t_(2), t_(8) and t_(32) are in G.P., then find the common ratio of the G.P.

Sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100, then the common ratio of the G.P. is-

If the nth term of a G.P. be p, then show that the product of its first (2n-1) terms is p^(2n-1) .