A) \[\left( \frac{7}{2},\frac{1}{4} \right)\]
B) \[\left( \frac{1}{8},-7 \right)\]
C) \[\left( -\frac{1}{8},7 \right)\]
D) \[\left( \frac{1}{4},\frac{7}{2} \right)\]
Correct Answer: B
Solution :
\[y={{x}^{2}}-5x+5\] |
\[\frac{dy}{dx}=2x-5=2\] |
\[\Rightarrow \] \[x=\frac{7}{2}\] at \[x=\frac{7}{2},y=\frac{-1}{4}\] |
Equation of tangent at \[\left( \frac{7}{2},\frac{-1}{4} \right)\] is |
\[2x-y-\frac{29}{4}=0\] |
Now check options |
\[x=\frac{1}{8},y=-7.\] |
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