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 x^{2} + y ^{2} = 8x and the parabola y^{2} + 4x .
**Q. 8. **Find the area of the region
**Q. 9. **Find the area of the circle x^{2} + y^{2} = 16 which is exterior to the parabola y^{2} = 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 + y
^{2})dx - y(1 + x^{2})dy = 0. y(1) = 0
- (x
^{2}+y^{2}) 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 |