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
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 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 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 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
If a line makes angles with four diagonals of a cube ,then the value of
is
4/3
8/3
7/3
1
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 perpendicular distance of the point (6,5,8) from y-axis is
5 units
6 units
8 units
10 units
The plane x/2 + y/3 + z/4 = 1,cut the axes in A,B,C then the area of the Δ ABC is
√29 Sq - unit
√41 Sq - unit
√61 Sq - unit
If α,β,γ be the angles which a line makes with the co-ordinate axes ,then
Sin2α + Cos2β + Sin2 γ=1
Cos2α + Cos2β + Cos2 γ=1
Sin2α + Sin2β + Sin 2γ=1
Cos2α + Cos2β + Sin2 γ=1
