InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The area between the curve `y = 2x^(4) - x^(2)`,the x, axis and the ordiantes of two minimum of curve isA. `(7)/(120)`B. `(9)/(120)`C. `(11)/(120)`D. none of these |
| Answer» Correct Answer - A | |
| 2. |
Area bounded by the curve `xy^(2) = a^(2) (a -x)` and y-axis isA. `pi a^(2) //2`B. `pi a^(2)`C. `2 pi a^(2)`D. `3 pi a^(2)` |
| Answer» Correct Answer - B | |
| 3. |
The area fo the region bounded by the parabola `y = x^(2) + 1` and the straight line x + y = 3, is given byA. 45/7B. 25/7C. `pi//18`D. 9/2 |
| Answer» Correct Answer - D | |
| 4. |
The area bounded by the curve x + |y| = 1 and x axis isA. 2B. `(1)/(2)`C. 3D. `(1)/(3)` |
| Answer» Correct Answer - B | |
| 5. |
The area of the region bounded by the curve `y = x - x^(2)` between x = 1 and x = 0 isA. 1/6B. 5/6C. 1/3D. 1/2 |
| Answer» Correct Answer - A | |
| 6. |
What is the area bounded by the curves `x^(2) + y^(2) = 9` and `y^(2) = 8x`? |
| Answer» Correct Answer - B | |
| 7. |
The area bounded by the curve y = cos x and x-axis between x=0 and `x = (pi)/(2)` is ….A. `(1)/(2)`B. 1C. 3D. `(pi)/(2)` |
| Answer» Correct Answer - B | |
| 8. |
वक्र से घिरा क्षेत्रफल y = 3x + 2 and x = - 1 , x = 1 is….A. `(1)/(6)`B. `(25)/(6)`C. 3D. (1)/(3) |
| Answer» Correct Answer - C | |
| 9. |
वक्र से घिरा क्षेत्रy = 2x - x^(2) और सीधी रेखा y = - x हैA. 35/6B. 43/6C. 9/2D. 11/2 |
| Answer» Correct Answer - C | |
| 10. |
Area bounded by the curve `y^(2) (2a - x) = x^(3)` and the line x = 2a isA. `3 pi a^(2)//4`B. `3 pi a^(2)//2`C. `3 pi a^(2)`D. none of these |
| Answer» Correct Answer - C | |
| 11. |
The area enclosed between the parabolas `y^(2) = 4x` and `x^(2) = 4y` isA. `(3)/(16)` sq.unitsB. `(16)/(3)` sq. unitsC. `(14)/(3)` sq. unitsD. `(3)/(4)` sq.units |
| Answer» Correct Answer - B | |
| 12. |
The area bounded by the curve `y = log_(e)x`, the x-axis ans the straight line x = e siA. e.sq unitsB. 1.sq unitsC. `1 - (1)/(e )` sq. unitsD. `1 + (1)/(e )` sq. units |
| Answer» Correct Answer - B | |
| 13. |
The area bounded by the curve `y^(2) = x` and y = |x| in first quadrants is….A. `(1)/(3)`B. `(2)/(3)`C. 1D. `(1)/(6)` |
| Answer» Correct Answer - D | |
| 14. |
The area enclosed by the curve `y^(2) = 4x` and the line y = x is….A. `(8)/(3)`B. `(16)/(3)`C. `(32)/(3)`D. `(2)/(3)` |
| Answer» Correct Answer - A | |
| 15. |
Area bonuded by the curve `y = x^(3)`, the x-axis and the ordinates x = - 2 and x = 1, isA. `-9`B. `-(15)/(14)`C. `(15)/(14)`D. `(17)/(4)` |
| Answer» Correct Answer - D | |
| 16. |
The area bounded by the curve `y = e^(x)`, x-axis and ordinates x = 0 and x = 1 is …A. eB. e -1C. e + 1D. `e^(1) + 1` |
| Answer» Correct Answer - B | |
| 17. |
वक्र से घिरा क्षेत्र `y^(2) = 9x`और x = 1, x = 4 और y = 0 पहले चतुर्थांश में है|A. 7B. 14C. 14/3D. 28 |
| Answer» Correct Answer - B | |
| 18. |
The area enclosed within the curve |x| + |y| = 1 isA. `sqrt(2)`B. 2C. `2 sqrt(2)`D. 4 |
| Answer» Correct Answer - B | |
| 19. |
The area cut off a parabola by any double ordinate is k times the corresponding retangle contained bythe double ordinate and its distance from the vertex. The value of k isA. `(2)/(3)`B. `(3)/(2)`C. `(1)/(3)`D. 3 |
| Answer» Correct Answer - A | |