The part of circle x2 + y2 = 9 in between y = 0 and y = 2 is revolved about y-axis. The volume of generating solid will be
None of these
The lines and are coplanar and then equation to the plane in which they lie, is
x + y + z = 0
x - y + z = 0
x - 2y + z = 0
x + y - 2z = 0
C.
x - 2y + z = 0
The lines will be coplanar, if
Add 3rd columnto first and it becomes twice the second and hence the determinant is zero, as the two columns are identical. Again, the equation ofthe plane in which they lie is
On adding 1st and 3rd columns and subtracting twice the 2nd, we get
Three forces of magnitudes 1, 2 and 3 dynes meet in a point and act along diagonals of three adjacent faces of a cube. The resultant force is
114 dynes
6 dynes
5 dynes
None of the above
The vectors AB = 3i + 5j + 4k and AC = 5i - 5j + 2k are side of a ABC. The length ofthe median through A is
5 units
10 units
Let a = 2i + j + k, b = i + 2j - 1, and a unit vector c be caplanar. If c is perpendicular to a, then c is