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 2|x - 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]
