If the sum of the square of p and twice of q is equal to the square root of the sum of the square of r and s, wirte a formula wth p as the subject.

Options

A. `p=sqrt(2q-sqrt(r^(2)+s^(2)))`
B. `p=sqrt(r^(2)+s^(2)-2q)`
C. `p=sqrt(2q-r^(2)-s^(2))`
D. `p=sqrt(1-k^(2))`

Answer

D

Explanation

(i) `p^(2)+2q=sqrt(r^(2)+s^(2))`
Apply transposition to make p as the subject.
(ii) Given, `p^(2)+2q=sqrt(r^(2)+s^(2))`, first make `p^(2)` as subject.
(iii) Then, apply square root on both the sides.