WBJEE · Maths · Area Under Curves
The area of the region enclosed between parabola \(y^{2}=x\) and the line \(y=m x\) is \(\frac{1}{48}\)
Then, the value of \(m\) is
- A -2
- B -1
- C 1
- D 2
Answer & Solution
Correct Answer
(D) 2
Step-by-step Solution
Detailed explanation
Equation of parabola is \(y^{2}=x\) and line \(y=m x\) For intersection point of both curves put \(x=y^{2}\), we get \[ y=m y^{2} \Rightarrow y(m y-1)=0 \] \(\Rightarrow \quad y=0\) or \(y=\frac{1}{m}\) Then, \(\quad x=0\) or \(x=\frac{1}{m^{2}}\) \(\therefore\) Intersection…
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