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:

1. x(1 + y²)dx - y(1 + x²)dy = 0. y(1) = 0
2. (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