- The equation of sphere which
passes through the origin and makes
intercepts 3, 4 and 5 on the co-ordinate
axes, is given by:
(a)
(b)
(c)
(d) - The equation of the plane
containing the points (1, 0, 0), (0, 2, 0)
and (0, 0, 3), is given by:
(a) x + 2y + 3z= 1 (b) 3x + 2y + z= 2 (c)
6x + 3y + 2z= 6 (d) 6x + 3y + 2z= 8 - If a line makes angle of 60 and 45
with the positive direction of the axes x
and y respectively, then the angle made
by the line with positive direction of
the z- axis, is equal to:
(a) 60 (b) 120 (c) either 60 or 120
(d) neither 60 nor 120 - The radius of the sphere
,
is equal to:
(a) 2 (b) √^ (c) 4 (d) 5
- The condition for the lines x= az + b,
y= cz + d and x=
to be perpendicular, is:
(a) (b)
(c) (d)
- The lines 2x= 3y= -z and 6x= -y= -4z:
(a) are parallel (b) are perpendicular
(c) intersect at an angle of 45 (d)
intersect at an angle of 60
30. The distance between the parallel
planes 4x – 2y + 4z + 9= 0 and 8x – 4y +
8z + 21= 0 is:
(a)^ (b)^ (c)^ (d)^
31. If a line makes angles 35 and 55
with x- axis and y- axis respectively,
then the angles which this line
subtends with z- axis, is:
(a) 35 (b) 45 (c) 55 (d) 90
32. The ratio in which the joining of (2,
1, 5) and (3, 4, 3) divided by the plane x- y – z=^ , is:
(a) 3 : 5 (b) 5 : 7 (c) 1 : 3 (d) 4 : 5
- ABC is a triangle and AD is the
median. If the co-ordinates of A are (4,
7, -8) and the co-ordinates of centroid
of the triangle ABC are (1, 1, 1). What
are the co-ordinates of D?
(a). / (b). / (c) (-
1, 2, 11)
(d) (-5, -11, 19) - If the points (5, -1, 1), (-1, -3, 4) and
(1, -6, 10) are the three vertices of a
rhombus taken in order, then which
one of the following is the fourth
vertex?
(a) (7, -4, 11) (b). /
- y – z=^ , is:
(c) (7, -4, 7) (d) (7, 4, 11)- What is the area of the triangle
whose vertices are (0, 0, 0) (3, 4, 0) and
(3, 4, 6)?
(a) 12 sq units (b) 15 sq units (c) 30
sq units
(d) 36 sq units