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

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]

Q20) Area bounded by the curves  x  3  = 5 and  y + 4  = 3
[OA: 60]

Q21) Find the area of the region that comprises all points that satisfy the two conditions x^2 + y^2 + 6x + 8y ≤ 0 and 4x ≥ 3y.
[OA: 25π/2]

Equation describes a circle with radius= 5 and center = (3,4)
4x = 3y falls in the diameter of this circle.
so required area = area of circle/2 = 25pi/2

Q22) Find b if the area enclosed by y = b  2x and y = 2x  b is 36 square units
[OA: 6]

Q23) Find the area of the region enclosed by the graphs of ax + by = a * b where a and b are unequal natural numbers and {a, b} > 1
[OA: 2ab]

Q24) Find the area enclosed by the graphs of y = x, y =  x and x = 18
[OA: 648]

Q25) find area of the region enclosed by 2x + 3y = 6?
[OA: 12]

Q26) The area bounded by the three curves x + y  = 1, x = 1 and y = 1 is equal to?
[OA: 3]