The centre of the sphere passing through the origin and through the intersection pomts of the plane with axes is :
The line 2x - y = 1 bisects angle between two lines. If equation of one line is y = x, then the equation of the other line is :
7x - y - 6 = 0
x - 2y + 1 = 0
3x - 2y - 1 = 0
x - 7y + 6 = 0
The angle between the lines and x - is :
90°
60°
45°
30°
D.
30°
Let f(x) = x - [x], for every real x, where [x] is the greatest integer less than or equal to x. Then, is :
1
2
3
0
A force of magnitude acting along the line joining the points A(2, - 1, 1) and B (3, 1, 2) displaces a particle from A to B. The work done by the force is :
6
12
Equation of the plane parallel to the planes x + 2y + 3z - 5 = 0, x + 2y + 3z - 7 = 0 and equidistant from them is :
x + 2y + 3z - 6 = 0
x + 2y + 3z - 1 = 0
x + 2y + 3z - 8 = 0
x + 2y + 3z - 3 = 0