PYQ Vault
EbooksTutor

Area of regions involving y = |x^2 - a| and y = x^2 or a line

This type of question, asked 5 times: 26 Jun 2022, 26 Jul 2022, 10 Apr 2023, 13 Apr 2023, 2 Apr 2025. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    26 Jun 2022

    70
    The area bounded by the curve y=∣x2−9∣y=\left| x^{2}- 9 \right| and the line y=3y = 3 is :

    Tap an option to check your answer.

  2. Question 2

    26 Jul 2022

    170
    The area bounded by the curves y=∣x2−1∣y =\left| x^{2}- 1 \right| and y=1y = 1 is

    Tap an option to check your answer.

  3. Question 3

    10 Apr 2023

    180
    If the area of the region {(x,y):∣x2−2∣≤y≤x}\left\{ (x,y):\left| x^{2}- 2 \right|\leq y \leq x \right\} is AA, then 6 A+1626\text{ }A + 16\sqrt{2} is equal to

  4. Question 4

    13 Apr 2023

    167
    The area of the region {(x,y):x2≤y≤∣x2−4∣,y≥1}\left\{ (x,y):x^{2}\leq y \leq\left| x^{2}- 4 \right|,y \geq 1 \right\} is

    Tap an option to check your answer.

  5. Question 5

    2 Apr 2025

    73
    If the area of the region {(x,y):∣4−x2∣≤y≤x2,y≤4,x≥0}\left\{ (x,y):\left| 4 - x^{2} \right| \leq y \leq x^{2},y \leq 4,x \geq 0 \right\} is (802α−β),α,β∈N\left( \frac{80\sqrt{2}}{\alpha} - \beta \right),\alpha,\beta \in N, then α+β\alpha + \beta is equal to.