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Practice Question on Application of integration for IIT JEE , Airforce and NDA

Application integration

Question no. 1
The area bounded by the parabola x= 4-y2 and y-axis , in square units , is
looks_one 3/32
looks_two 32/3
looks_3 33/2
looks_4 16/3
Option 1. 0
very soon 16

Question no. 2
The area of the region formed by x2 + y2 -6x -4y + 12 ≤0 , y≤ x and x≤ 5/2 is
looks_one π/6 - (√3+1)/8
looks_two π/6 + (√3+1)/8
looks_3 π/6 -(√3-1)/8
looks_4 none of these
option
ver soon 2

Question no. 3
The area bounded by the curve y = sinx between the ordinates x=0 , x=π and the x axis is
looks_one 2
looks_two 4
looks_3 1
looks_4 3
option
very soon 3

Question no. 4
The area between x-axis and curvy y = cosx when 0 ≤ x ≤ 2π is
looks_one 0
looks_two 2
looks_3 3
looks_4 4
option
very soon 4

Question no. 5
Area bounded by parabola y2=x and straight line 2y=x is
looks_one 4/3
looks_two 1
looks_3 1/3
looks_4 2/3
option
very soon

Question no. 6
The area bounded by the parabola y2=8x, the x-axis and the latus rectum is
looks_one 16/3
looks_two 23/2
looks_3 32/3
looks_4 16√2/3
option
very soon 6

Question no. 7
Area bounded by the curve y=x3, the x -axis and the ordinate x= -2 and x= 1 is
looks_one -9
looks_two -15/4
looks_3 15/4
looks_4 17/4
option
very soon

Question no. 8
Smaller area enclosed by the circle x2+ y2=4 and the line x+y = 2 is
looks_one 2(π-2)
looks_two π-2
looks_3 2π-1
looks_4 2(π+2)
option
very soon

Question no. 9
Area lying between the curves y2=4x and y =2x is
looks_one 1/3
looks_two 2/3
looks_3 3/4
looks_4 1/4
option
very soon 9

Question no. 10
Area lying in first quadrant and bounded by the circle x2+ y2 =4 and the lines x=0 and x =2, is
looks_one π
looks_two π/2
looks_3 π/3
looks_4 π/4
option
very soon 10

Question no. 11
What in the area of region bounded by the line 3x - 5y = 15, x=1, x=3 and x-axis in sq unit?
looks_one 36/5
looks_two 18/5
looks_3 9/5
looks_4 3/5
option
very soon 11
Question no. 12
What in the area of the ellipse 4x2 +9y2=1.
looks_one 6π
looks_two π/36
looks_3 π/6
looks_4 π/√6
option
very soon 12
Question no. 13
What is the value of k if the area bounded by the curve y= sinkx , y=0 , x= π/k , x= π/3k is 3 sq unit?
looks_one 1/2
looks_two 1
looks_3 2
looks_4 1/3

option

very son 13
Question no. 14
What is the area enclosed between the curves y2 = 12 x and the lines x=0 and y=6 ?
looks_one 2
looks_two 4
looks_3 6
looks_4 8

option

very soon14
Question no. 15
What is the area under the curve f(x)= xex above the x-axis and between the line x=0 and x=1?
looks_one 1
looks_two 1/2
looks_3 3/2
looks_4 2

option

very soon15

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