WBJEE · Maths · Area Under Curves
The area of the region bounded by the parabola \(y=x^{2}-4 x+5\) and the straight line \(y=x+1\) is
- A \(\frac{1}{2}\)
- B 2
- C 3
- D \(\frac{9}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{9}{2}\)
Step-by-step Solution
Detailed explanation
Given equation of parabola is \[ y=x^{2}-4 x+5 \] \(\Rightarrow \quad y=(x-2)^{2}+1\) \(\Rightarrow \quad(x-2)^{2}=(y-1)\) and equation of line is \[ \begin{array}{r} y=x+1 \\ \Rightarrow \quad x-y=-1 \end{array} \] On putting the value of \((y-1)\) from Eqs. (ii) in (1). we get…
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