Maths MH CET QUIZ
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MH CET QUIZ 2019
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Question 1 of 26
1. Question
Category: Application of definite integralsThe area enclosed by the ellipse x² a² + y² b² = 1 is :
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Question 2 of 26
2. Question
Category: Application of definite integralsThe volume of the oblate spheroid generated by the revolution of the ellipse x²a² + y²b² = 1 about the minor axis is :Correct
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Question 3 of 26
3. Question
Category: Application of definite integralsArea bounded by the curve y = x sin x and x – axis between x = 0 and x = 2π is :
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Question 4 of 26
4. Question
Area between the curve y = 4 + 3x – x² and x – axis in square units is :
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Question 5 of 26
5. Question
The triangle formed by the tangent to the curve f (x) = x² + bx – b at the point (1,1) and the coordinate axes , lies in the first quadrant , if its area is 2 , then the value of b is :
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Question 6 of 26
6. Question
The area bounded by the curve y = 4x – x² and the x – axis is :
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Question 7 of 26
7. Question
The area bounded by the curve y = x³ , x – axis and two ordinates x = 1 and x = 2 is equal to :
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Question 8 of 26
8. Question
The area enclosed between the curve y = log _{e} (x + e) and the co ordinates axes is :
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Question 9 of 26
9. Question
Area enclosed between the curve y = x_{⅓} , the y – axis and the lines y = – 1 , y = 1 is :
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Question 10 of 26
10. Question
The area in square units of the region bounded by y² = 9x and y = 3x is :
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Question 11 of 26
11. Question
Area bounded by y = x³ , y = 8 and x = 0 is :
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Question 12 of 26
12. Question
The volume of the sphere of radius ‘r’ is :
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Question 13 of 26
13. Question
The area bounded by the curve y = e^{x} , y = e ^{x} and the ordinates x = 0 and x = 2 is :
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Question 14 of 26
14. Question
The area in square units bounded by the normal at (1 , 2) to the parabola y² = 4x , x – axis and the curve is given by :
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Question 15 of 26
15. Question
The area of the figure bounded by y = sin x , y = cos x in the first quadrant is :
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Question 16 of 26
16. Question
The area of the parabola y² = 4αx lying between the vertex and the latus – rectum is revolved about the x – axis .
Then the volume generated is :Correct
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Question 17 of 26
17. Question
Area bounded by the curves :
y = √x , x = 2y + 3 in the first quadrant and x – axis is :Correct
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Question 18 of 26
18. Question
The area enclosed by the ellipse x²a² + y²b² = 1 is :Correct
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Question 19 of 26
19. Question
The area between x²a² + y²b² = 1 and st . line xa + yb = 1 is :Correct
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Question 20 of 26
20. Question
The area of the region bounded by the curve y = sin x between the ordinates x = 0 , x = π / 2 and the x – axis is :
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Question 21 of 26
21. Question
Area enclosed by y = 1 and ± 2x + y = 2 (in square units ) is :
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Question 22 of 26
22. Question
The area enclosed between the curves :
y² = x and y =  x  is :Correct
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Question 23 of 26
23. Question
The area bounded by the curves :
y =  x  – 1 and y = –  x  + 1 is :Correct
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Question 24 of 26
24. Question
The area between the hyperbola xy = c² , the x – axis and the ordinates at a and b with a > b , is :
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Question 25 of 26
25. Question
The area of the region bounded by the curve y = x² and the line y = 16 is :
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Question 26 of 26
26. Question
Find the area bounded by the curves :
y = (x – 1)² , y = (x + 1)² and y = (1 / 4) :Correct
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