CAT Question Bank  Area Of The Region Bounded By Curves (Modulus function)

Number of Questions  30
Topic  Area of the bounded region
Answer key available?  Yes
Source  Curated Content

Q1) Area bounded by x + y + x  y = 4
[OA : 16]

Q2) Find the area (in sq. units) bound by the curves  x + y  = 2 and  x  y  = 2
a) 8
b) 8√2
c) 16
d) 4√2[OA: 8]

Q3) The area of the region bounded by the relation x + x + y = 6 is?
[OA: 72]

Q4) Find area bound by the curve 3x + 5 + 7y + 6 = 20
[OA: 800/21]

Q5) Area covered by the graph 3x + 2y + 3x  2y = 16
[OA: 128/3]

Q6) The area of the region bounded by the lines x = 0, y = 0, x = 2 and 3x + 2y = 8 is (in sq units)
a) 5
b) 16/3
c) 6
d) 8
e) 9[OA: 5]

Q7) Find the area bound by x + a = 1 and y  b = 2
[OA: 8]

Q8) what is the area enclosed by 3x + 4y = 12
[OA: 12]

Q9) Find the area between x^2 + y^2 > 2 and lxl + lyl ≤ 5
[OA: 50  2π]

Q10) Area bounded by x  5 < 3 and y  5 < 3 ?
[OA: 36]

Q11) Find the area of the region enclosed by the graphs of the equations x^2 = 18 and y^2 = 50
[OA: 120]

Q12) Find area bounded by 2x + 5 + 3y + 4 = 3
[OA: 3]

Q13) Find the area bounded by region 3x  y + 3x + y = 4
[OA: 16/3]

Q14) Find the area of region bounded by 2x  1 + y + 1 = 4
[OA: 16]

Q15) Area bounded by x + y ≤ 4 and x + y ≥ 2
[OA: 16]

Q16) Area of the region bounded by the graph x + y + x  y = 6
[OA: 27]

Q17) Area bounded by the graph x  2y + y  x = 12
[OA: 288]

Q18) Area bounded by x ≥ 0, y ≥ 0, x  y ≤ 3 and 2 ≤ x + y ≤ 4 ?
[OA: 5.5 sq units]

Q19) The area within the curve x + y = 8 is
a. 32 sq. units
b. 64 sq. units
c. 128 sq. units
d. None of these[OA: 128 sq units]