Eamcet - Maths - Definite Integration Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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The area of the region bounded by the curves y=x2+2,y=x,x=0 and x=3 is

  

  

  

  

The area under the curve y=x2-3x+2 with boundaries as x-axis and the ordinates at x=0,x=3 is

  

  

  

  

The area of the region bounded by the curve y=x3,x-axis and the ordinates x=1,x=4 is

  

  

  

  

The area bounded by x=0,x=6+5y-y2 is

  

  

  

  

The area between the parabola y=x2 and the line y=2x is

  

  

  

  

The area between the curves y2=8x and x2=8y is

  

  

  

  

The value of c for which the area bounded by the curve y=8x2-x5,the lines x=1,x=c and x-axis is 16/3 is

  

  

  

  

If a is the area bounded by x=4-y2 with y-axis,b is the area bounded by x=6+5y-y2 with y axis and c is the area bounded by 2x=y2-1 with y-axis then the ascending order of a,b,c is

  

  

  

  

If area bounded by the curves y2=4ax and y=mx is a2/3,then the value of m is

  

  

  

  

The area bounded by the curve xy=4,x-axis and the ordinates x=2,x=5 is

  

  

  

  

The area of the region bounded by the curve y2=4x,y-axis and the lines y=1,y=3 is

  

  

  

  

The area bounded by the curve x=y2 +4y with y-axis is

  

  

  

  

If a is the area bounded by the curve y=4x-x2-3 with x-axis,b is the area bounded by y=11x-24-x2 with x-axis and c is the area bounded by y=(x-4)(x-1) with x-axis then the descending order of a,b,c is

  

  

  

  

The area of the region bounded by the curve y=(x2+2)2+2x between the ordinates x=0,x=2 is

  

  

  

  

The variable line x/a+y/b=1 is such that a+b=10, the locus of the midpoint of the portion of the line intercepted between the axes is:

  

  

  

  

The area bounded by y=cos x,y=x+1,y=0 is

  

  

  

  

The area bounded by the curves y=3x-x2 and y=x2-x is

  

  

  

  

The area bounded by the curve y2=4x and the lines x=1,x=9 is

  

  

  

  

If y = sin (logex) then x2 (d2y/dx2) + x (dy/dx) =

  

  

  

  

The area bounded by the curve y=x(x-1)2,y-axis and the line y=2 is

  

  

  

  

The area of the plane region bounded by the curve x + 2y2 = 0 and 3y2 = 1 is equal to

  

  

  

  

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