Consider a region {R}= \{( {x}, {y}) \in{R}^{2}: {x}^{2} \leq{y} \leq2 {x} \} If a line {y}=\\alpha divides the area of region {R} into two equal parts, then which of the following is true? [2 Sep 2020 Shift 2]

Correct Answer is : 3α2−8α32+8=0

\\alpha^{3}-6 \\alpha^{3 / 2}-16=0

3 \\alpha^{2}-8 \\alpha^{3 / 2}+8=0

Area Under The Curves Part 1

Section: Mathematics

Question : 59 of 100

Marks: +1, -0

Consider a region R={(x,y)∈R2:x2≤y≤2 x}
If a line y=α divides the area of region R into two equal parts, then which of the following is true?

[2 Sep 2020 Shift 2]

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