The plane passing through the points (1, 2, 1), (2, 1, 2) and parallel to the line, 2x = 3y, z = 1 also passes through the point :
(2, 0, - 1)
(0, 6, - 2)
(0, - 6, 2)
(- 2, 0 , 1)
A plane passing through the point (3, 1, 1) contains two lines whose direction ratios are 1, – 2, 2 and 2, 3, – 1 respectively. If this plane also passes through the point(,–3, 5), then is equal to
5
10
- 5
- 10
Let the latus rectum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radius 25. Then, the distance between the centres of the circles C1 and C2 is :
12
8
The shortest distance between the lines
1
C.
The angle of elevation of the top of a hill from a point on the horizontal plane passing through the foot of the hill is found to be 45°. After waling a distance of 80 meters towards the top, up a slope inclined at angle of 30° to the horizontal plane the angle of elevation of the top of the hill becomes 75°. Then the height of the hill (in meters) is _____.
A plane P meets the coordinate axes at A, B and C respectively. The centroid of ABC is given to be (1, 1, 2). Then the equation of the line through this centroid and perpendicular to the plane P is: