CUET · MATHS · PYQ PAPER 2023
The area included between \(y^2=4 x, y=x+1\) and x-axis is :
- A \(\frac{10}{3}\) sq. units
- B 2 sq. units
- C \(\frac{1}{2}\) sq. units
- D \(\frac{2}{3}\) sq. units
Answer & Solution
Correct Answer
(D) \(\frac{2}{3}\) sq. units
Step-by-step Solution
Detailed explanation
\((x+1)^2=4x \implies x^2-2x+1=0 \implies (x-1)^2=0 \implies x=1\). Point: \((1,2)\). \(y=x+1\) intersects x-axis at \((-1,0)\). \(y^2=4x\) intersects x-axis at \((0,0)\). \(A = \int_{-1}^{0} (x+1) dx + \int_{0}^{1} (x+1 - 2\sqrt{x}) dx\).…
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