CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Anil Kumar Tondak CBSE CLASS XII Application of Integrals Q. 1. Find the area of the region in the first quadrant enclosed by the xaxis, the line y = x and the circle Q. 3. Find the area of the region bounded by the parabola y = x^{2} and y = . Q. 4. Find the area of the smaller part of the circle x^{2} + y^{2} = a^{2} cut off by the linex=. Q. 5. Using integration, find the area of the region bounded by the triangle whose vertices are (1, 0), (2,2) and (3, 1). Q. 6. Prove that the curves y^{2} = 4x and x^{2} = 4y divide the area of the square bounded by x=0, x=4, y=4 and y=0 into three equal parts. Q. 7. Sketch the graph of y= Q. 8. Using the method of integration, find the area bounded by the curve . Q. 9. Find the area of the smaller region bounded by the ellipse . Q. 10. Using integration, find the area of the triangular region, the equations of whose sides are y=2x + 1, y=3x +1 and x = 4. Q. 11. Find the area of the region Q. 12. Find the area of the region between the circles x2 + y2 = 4 and (x – 2)2 + y2 = 4. Q. 13. Find the area bounded by the ellipse and the coordinates x = ae and x = 0where b2=a2(1 – e2) and e<1. Q. 14. Find the area bounded by the curve y^{2} = 4a^{2}(x – 1) and the lines x = 1and y = 4a. Q. 15. Using integration, find the area of the region bounded by the following curves, after making a rough sketch: Prepared By Anil Kumar Tondak

