The distance between the points (1,4,5) and (2,2,3 ) is
5
4
3
2
A variable plane moves ,so that the sum of the reciprocals of its intercepts on the co-ordinate axes is 1/2.Then the plane passes through .
(1/2,1/2,1/2)
(-1,1,1)
(2,2,2)
(0,0,0)
If the plane x+2y+2z-15=0 cuts the circle x2 + y2 + z2 - 2y-4z-11=0,then radius of circle is
√3
√5
√7
The intercept of the plane 5 x - 3 y + 6 z = 60 on the co-ordinate axes are
(10,20,-10)
(10,-20,12)
(12,-20,10)
(12,20,-10)
If a plane meets the coordinate axes at A,B and C such that the centroid of the triangle is (1,2,4), then the equation of the plane is
x + 2 y + 4 z = 12
4 x + 2 y + z = 12
x + 2 y + 4 z = 3
4 x + 2 y + z = 3
The angle between the straight lines x+1/2 = y-2/5 = z+3/4 and x-1/1 = y+2/2 = z-3/-3 is
450
300
600
900
The direction cosines of the line joining the points (4,3,-5) and (-2,1,-8) are
(6/7 , 2/7 , 3/7 )
(2/7 , 3/7 , 6/7 )
(6/7 , 3/7 , 2/7 )
None of these
The equation of the plane passing through (2,3,4) and parallel to the plane 5x-6y+7z=3 is
5x-6y+7z+20 = 0
5x-6y+7z-20=0
-5x+6y-7z+3=0
5x+6y+2z+3=0
If P is the point (2,6,3) ,then the equation of the plane through p at right angle to OP,O being the origin ,is
2x + 6y + 3z =7
2x-6y+3z=7
2x+6y-3z=49
2x+6y+3z-49
The xy- plane divides the line joining the points (-3,3,4) and (2,-5,6):
internally in the ratio 2:3
internally in the ratio 3:2
externally in the ratio 2:3
externally in the ratio 3:2
