The xy-plane divides the line joining the points (-1,3,4) and (2,-5,6)
internally in the ratio 2 : 3
externally in the ratio 2 : 3
internally in the ratio 3 : 2
externally in the ratio 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)
The distance between the points (1,4,5) and (2,2,3 ) is
5
4
3
2
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
The points A (4,5,1), B (0,-1,-1) (3,9,4) and D (-4,4,4) are:
Collinear
Coplanar
Non - coplanar
non collinear and non coplanar
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)
The value of aa' + bb'+ cc' being negative .The origin will lie in the acute angle between the planes are +by+cz+d=0 and a ' x + b ' y + c 'z+d '= 0,if
a = a' = 0
d and d' are of same sign
d and d' are of opposite sign
None of these
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 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
