Question

solve it to get the value of a/d

→ Put n = 2mr/(m+r)

Answer 1

Answer:

sending attachement hope it will help I think you know rhe answer

Answer 2

Answer:

$\frac{a}{d} = \: - \frac{n}{2}$

Step-by-step explanation:

$\frac{a}{d} \: = \: \frac{mr - {n}^{2} }{2n - m - r}$

Putting the value of n in the above equation,

we get;

$\frac{a}{d} = \frac{mr - { \frac{2mr}{(m + r)} }^{2} }{2 \frac{2mr}{(m + r)} - (m + r)}$

$\: \: \: \: \: = \frac{ \frac{mr {(m + r)}^{2} - 4 {m}^{2} {r}^{2} }{ {(m + r)}^{2} } }{ \frac{4mr - {(m + r)}^{2} }{(m + r)} }$

$\: \: \: \: \: = \frac{mr {(m + r)}^{2} - 4 {m}^{2} {r}^{2} }{(m + r) |4mr - (m + r)^{2}| }$

$\: \: \: \: \: = \frac{ - mr |4mr - (m + r)^{2}|}{(m + r) |4mr - (m + r)^{2}| }$

$\: \: \: \: \: \: = \frac{ - mr}{(m + r)} \times \frac{2}{2}$

$\: \: \: \: \: = \frac{ - 2mr}{2(m + r)}$

$\: \: \: \: \: \\ \\ \: \: \: \: \: = \frac{ - n}{2}$