If a, b, c are in H.P.,then frac{a}{b + c}, f | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given that $a, b, c$ are in $H.P.$This implies that $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ are in $A.P.$Divide each term by the sum $(a+b+c)$ or

Vedclass · Accepted Answer

$H.P.$

Vedclass · Answer

(C) Given that $a, b, c$ are in $H.P.$This implies that $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ are in $A.P.$Divide each term by the sum $(a+b+c)$ or multiply by $(a+b+c)$,we get $\frac{a+b+c}{a}, \frac{a+b+c}{b}, \frac{a+b+c}{c}$ are in $A.P.$Subtracting $1$ from each term: $\frac{a+b+c}{a} - 1, \frac{a+b+c}{b} - 1, \frac{a+b+c}{c} - 1$ are in $A.P.$This simplifies to $\frac{b+c}{a}, \frac{a+c}{b}, \frac{a+b}{c}$ are in $A.P.$Taking the reciprocal of each term,we get $\frac{a}{b+c}, \frac{b}{c+a}, \frac{c}{a+b}$ are in $H.P.$

If $a, b, c$ are in $H.P.$,then $\frac{a}{b + c}, \frac{b}{c + a}, \frac{c}{a + b}$ are in

Similar Questions

If the $5^{th}$ term of a $H.P.$ is $\frac{1}{45}$ and the $11^{th}$ term is $\frac{1}{69}$,then its $16^{th}$ term will be:

Let $a_1, a_2, a_3, \dots$ be a harmonic progression where $a_1 = 5$ and $a_{20} = 25$. What is the smallest positive integer $n$ such that $a_n < 0$?

If $a, b, c, d$ are in $H.P.$,then

$A$ boy goes to school from his home at a speed of $x \text{ km/hour}$ and comes back at a speed of $y \text{ km/hour}$,then the average speed is given by

If $a, b, c$ are in $H.P.$,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module