The area of the region bounded by y2 = 16 - x2, y = 0, x = 0 in the first quadrant is (in, square units)
The area bounded by the lines y - 2x = 2, y = 4 and the (Y-axis is equal to in square units)
1
4
0
3
The general solution of the differential equation is
x + y + 3 = Cey
x + y + 4 = Cey
x + y + 3 = Ce- y
x + y + 4 = Ce- y
The differential equation representing the family of curves y2 = a(ax + b), where a and b are arbitrary constants, is of
order 1, degree 1
order 1, degree 3
order 2, degree 3
order 2, degree 1
D.
order 2, degree 1
Hence, order and degree of the given equation is 2 and 1, respectively.
The direction cosines of the straight line given by the planes x = 0 and z = 0 are
1, 0, 0
0, 0, 1
1, 1, 0
0, 1, 0