A) (3/2, 3/2)
B) (5/4, 1)
C) (3/4, 1)
D) (4/3, 7/12)
Correct Answer: B
Solution :
From the figure, \[{{2}^{2}}+{{({{y}_{1}}-1)}^{2}}=y_{1}^{2}\] |
\[4+y_{1}^{2}+1-2{{y}_{1}}=y_{1}^{2}\] |
\[5=2{{y}_{1}}\]or \[{{y}_{1}}=5/2\] |
Equation of the line from (2, 5 / 2) to the given base is |
\[y-5/2=2\,\,(x-2)\] |
\[\Rightarrow \] \[2y-5=4\,\,(x-2)y=1,\] |
\[\Rightarrow \] \[-\,\,3/4=x-2\] |
\[\therefore \] \[x=5/4\] |
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