Back to Area Under Curves

Set 7 of 7 · Questions 181-201 of 201

In the print window choose “Save as PDF”. The file prints without a web address or date line.

Mere Teacher

Mere Teacher · Previous Year Questions

JEE Main Mathematics · Area Under Curves · Set 7 (Q181-201)

QR code to mereteacher.com

Scan or visit mereteacher.com for free PYQ practice, timed CBT tests, step-by-step solutions and BroBot AI. Answers and solutions are free with a sign-up.

  1. 181.
    Let f : [–1, 2] → [0, ∞) be a continuous function such that f(x) = f(1 – x) for all x ∈ [–1, 2].
    Let R1 = , and R2 be the area of the region bounded by y = f(x), x = –1, x = 2, and the x-axis. Then
    1. (1)R1 = 2R2
    2. (2)R1 = 3R2
    3. (3)2R1 = R2
    4. (4)3R1 = R2
  2. 182.
    The area enclosed between the curves and is:
    1. (1)
    2. (2)1
    3. (3)
    4. (4)
  3. 183.
    The area (in sq. units) of the region, given by the set is :
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  4. 184.
    The area (in sq. units) of the region described by {(x, y); y2 ≤ 2x and y ≥ 4x – 1} is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  5. 185.
    The area of the bounded region enclosed by the curve and the x-axis is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  6. 186.
    The area of the region above -axis included between the parabola and the circle in square units is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  7. 187.
    The area of the region bounded by the curve and the line is
    1. (1) sq. units
    2. (2) sq. units
    3. (3). units
    4. (4) sq. units
  8. 188.
    If the area bounded by the parabola and the line is sq. units, then the value of ' ' is
    1. (1)-1
    2. (2)1
    3. (3)0
    4. (4)2
  9. 189.
    If the area of the region bounded by and is bisected by the line , then
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  10. 190.
    The larger of the two areas into which the circle is divided by the parabola is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  11. 191.
    If the area between and is sq. units, then value of is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  12. 192.
    The area bounded by the curve y = | – 9| and the line y=3 is:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  13. 193.
    The area enclosed by the curves y = (x + ), and , above the line y = 1 is
    1. (1)2 + e-2
    2. (2)l + e-2
    3. (3)e-2
    4. (4)1 + 2
  14. 194.
    The area of the region enclosed by
    and, is equal to :
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  15. 195.
    The odd natural number a, such that the area of the region bounded by y= 1, y = 3, x = 0, x = is , equal to :
    1. (1)3
    2. (2)5
    3. (3)1
    4. (4)9
  16. 196.
    The area, enclosed by the curves y = sin x + cos x and y = | cos x − sin x| and the lines is:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  17. 197.
    The area of the region given by
    A={(x, y): y min {x + 2,4 -3x}} is :
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  18. 198.
    The area bounded by the curves y = |-1| and y = 1 is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  19. 199.
    The area of the region enclosed between the parabolas =2x-l and =4x-3 is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  20. 200.
    The area of the region
    S = {(x, y) : ≤ 4y ≤ 6x + 24} is .
  21. 201.
    The area (in sq. units) of the region bounded by the curves + 2y − 1 = 0, + 4x − 4 = 0 and − 4x − 4 = 0, in the upper half plane is ____.