CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr Vasu Raj CBSE CLASS XII Q. 1. Find the area lying above the x-axis and included between the circle x2+y2=8x and the parabola y2 =4x. Q. 2. Find the area lying above the x-axis and included between the circle x2 +y2 =16a2 and the parabola y2 =6ax. Q. 3. Find the area of the smaller region bounded by the ellipse Q. 4. Find the area of the region included between x2 =4y , y = 2 , y = 4 and the y-axis in the first quadrant. Q. 5. Find the area between the parabolas 4ay = x2 and y2 = 4ax. Q. 6. Find the area bounded by the curve y2 = 4ax and the line y = 2a and y-axis. Q. 7. Find the area bounded by the parabola y2 = 8x and its latus rectum Q. 8. Find the area of the circle x2 + y2 = 16, which is exterior to the parabola y2 = 6x. Q. 9. Sketch the region common to the circle x2 + y2 = 8 and the parabola x2 = 4y. Also find the area of the common region using integration. Q. 10. Draw the rough sketch of the region Q. 11. Using integration, find the area of the triangle ABC whose vertices are A(2,3), B(2,8) and C(6,5). Q. 12. Using integration, find the area of the triangle ABC whose vertices are A(2,5), B(4,7) and C(6,2). Q. 13. Using integration, find the area of the triangle ABC whose vertices are A(-1,1), B(0.5) and C(3,2). Q. 14. Compute the area bounded by the lines x+2y = 2, y-x=1 and 2x+y = 7. Q. 15. Compute the area bounded by the lines y = 4x+5, y = 5-x, and 4y = x+5. Q. 16. Compute the area bounded by the lines 2x+y = 4, 3x-2y = 6, and x-3y+5=0. Q. 17. Using integration, find the area of the region bounded by x-7y+19=0, and y =çxú. Q. 18. Using integration, find the area of the region bounded by the line
Q. 19. Find the area of the region enclosed between the two circles x2 + y2 = 1 and (x-4)2 + y2 =16. Q. 20. Find the area of the region in the first quadrant enclosed by the x-axis, the line y = 4x and the circle x2 + y2 = 32 Q. 21. Find the area of the smaller part of the circle x2 + y2 =a2 cut off by the line Q. 22. Find the area of the region Q. 23. Sketch the graph of the curve y = Q. 24. Sketch the graph of the curve and find the area bounded by y = Q. 25. Find the area bounded by the line y = sin2x and y = cos2x between x = 0 and x=p/4 Q. 26. Prove that the curves y2 = 4x and x2 = 4y divide the area of the square bounded by x = 0, x = 4, y = 4 and y = 0 into three equal parts. Paper By Mr Vasu Raj |
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and the line 
and find the area enclosed by the region using method of integration.
, line y = x and the positive x- axis.
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and evaluate 
, x=-2, x=3, y=0.