PYQ Vault
EbooksTutor

Area between a parabola y^2 = 4ax and a line through its vertex, cut by a vertical line

This type of question, asked 3 times: 28 Jun 2022, 29 Jun 2022, 30 Jan 2023. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    28 Jun 2022

    69
    The area of the region S={(x,y):y2≤8x,y≥2x,x≥1}S =\left\{ (x,y):y^{2}\leq 8x,y \geq\sqrt{2}x,x \geq 1 \right\} is

    Tap an option to check your answer.

  2. Question 2

    29 Jun 2022

    66
    The area enclosed by y2=8xy^{2}= 8x and y=2xy=\sqrt{2}x that lies outside the triangle formed by y=2x,x=y=\sqrt{2}x,x= 1,y=221,y= 2\sqrt{2}, is equal to:

    Tap an option to check your answer.

  3. Question 3

    30 Jan 2023

    83
    Let α\alpha be the area of the larger region bounded by the curve y2=8xy^{2}= 8x and the lines y=xy = x and x=2x = 2, which lies in the first quadrant. Then the value of 3α3\alpha is equal to