A) \[16\,\,\text{c}{{\text{m}}^{2}}\]
B) \[20\,\,\text{c}{{\text{m}}^{2}}\]
C) \[25\,\,\text{c}{{\text{m}}^{2}}\]
D) \[30\,\,\text{c}{{\text{m}}^{2}}\]
Correct Answer: C
Solution :
In \[\Delta ABC,\] |
\[BX=\frac{5}{2}\text{cm,}\]\[CX=\frac{5}{2}\,\,\text{cm}\] |
and \[AX=\frac{\sqrt{3}}{2}\times 5=\frac{5\sqrt{3}}{2}\,\,\text{cm}\] |
AY and BC are the chord of circle |
\[\therefore \] \[AX\cdot XY=BX\cdot XC\] |
\[\Rightarrow \] \[\frac{5\sqrt{3}}{2}\cdot XY=\frac{5}{2}\cdot \frac{5}{2}\]\[\Rightarrow \]\[XY=\frac{5}{2\sqrt{3}}\] |
\[\therefore \] \[AX\cdot AY=\left( \frac{5\sqrt{3}}{2}+\frac{5}{2\sqrt{3}} \right)\times \frac{5}{2\sqrt{3}}=25\,\,\text{c}{{\text{m}}^{2}}\] |
You need to login to perform this action.
You will be redirected in
3 sec