CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Mr. Rajput
CBSE CLASS XII
Integrate the following
Q. 1.
Q. 2. Evaluate the following as the limit of a sum.
Q. 3. Evaluate the following:
Q. 4. Find the area the first quadrant enclosed by the x-axis, the line 
Q. 5. Find the area of the region enclosed by two circles and 
Q. 6. Using integration find the area of 
, whose vertices are A(2, 0) B(4, 5) and C(6, 3).
Q. 7. Find the area above x-axis and included in circle x2 + y 2 = 8x and the parabola y2 + 4x .
Q. 8. Find the area of the region 
Q. 9. Find the area of the circle x2 + y2 = 16 which is exterior to the parabola y2 = 6x .
Differential equations
Q. 1. Form the family of differential equation represented by the curve
Q. 2. Form the differential equation represented circle passing through origin and center lies on x-axis.
Q. 3. Solve the differential equations :
Q. 4. Solve the differential equt:
- x(1 + y2)dx - y(1 + x2)dy = 0. y(1) = 0
- (x2+y2) dx + xy dy = 0, y (1)=1
Q. 5. At any point on the curve the slope of tangent is twice the slope of the line joining the point of contact to
the point(-4,-3) find the equation of the curve passing through (-2,1).
Paper By Mr. Rajput
