A) \[\frac{\sqrt{29}}{5}\]
B) \[\frac{\sqrt{29}}{2}\]
C) \[\frac{2}{5}\]
D) \[\frac{5}{\sqrt{29}}\]
Correct Answer: A
Solution :
In right \[\Delta PQR\] |
\[{{(PR)}^{2}}={{(PQ)}^{2}}+{{(QR)}^{2}}\] |
(By Pythagoras theorem) |
\[={{(5)}^{2}}+{{(2)}^{2}}=25+4=29\,\,\,\Rightarrow \,\,\,PR=\sqrt{29}m\] |
\[\therefore \] In right \[\Delta PQR\], |
\[\cos ec\,\,R=\frac{\text{Hypotenuse}}{\text{Perpendicular}}=\frac{PR}{PQ}=\frac{\sqrt{29}}{5}\] |
So, option [a] is correct. |
You need to login to perform this action.
You will be redirected in
3 sec