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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The area of the region bounded by the curve y=x3,x-axis and the ordinates x=1,x=4 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 y = sin (logex) then x2 (d2y/dx2) + x (dy/dx) =

  

  

  

  

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 between the curves y2=8x and x2=8y 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 of the region bounded by the curves y=x2+2,y=x,x=0 and x=3 is

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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