If A(-3,2,4), B (2,5,-2) , C(1,-2,2) , D(4,2,3) are four given points, then angle θ between AB and CD is
60o
66o31'
75o 31'
120o 31'
P,Q,R,S are the points (-2,3,4) (-4,4,6) , (4,3,5) and (0,1,2). Projection of PQ is
right angles to RS
parallel to RS
equal to RS
none of these
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
Line joining A (5,2,-3) to B (6,1,4) and C(-3,-2,-1) to D (-1,-4,11) are
parallel
perpendicular
not equal
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
The equation to the straight line passing through the points (4,-5,-2) and (-1,5,3) is
x-4/1=y+5/-2=z+2/-1
x+4/1=y-5/2=z-3/-1
x/-1=y/5=z/3
x/4=y/-5=z/-2
The projection of the line segments joining the points (0,3,-1) and (5,1,2) on the line whose direction ratios are 2,3,6 is
2
22 / 4
22/7
11/7
For what value of x will the line through (4,1,2) and (5,x,O) be parallel to the line through (2,1,1) and (3,3,-1).
-3
3/2
3
The ratio in which the xy- plane divides the join of (-3,4,-8) and (5,-6,4) is
1:2
2:1
2:3
3:4
