Analytical Geometry of 3 Dimension - Quiz 1

x=0 is the equation of which plane?

• XY

• YZ

• ZX

• None of these

If a point (1, 2, 3) lies on a plane ax+by+cz+d=0, then a+2b+3c+d=0. Say True or False

• True

• False

The projection of a point on a line is .......

• a point

• line

• plane

• None of these

Give the direction cosines of a line joining the two points O(o, o, o) and P(3, 4, 12)

• (3, 4, 12)

• (1, 4/3, 4)

• (3/2, 2, 6 )

• None of these

Direction Cosines of z axis is

• (1, 0, 0)

• (0, 1, 0)

• (0, 0, 1)

• (1, 1, 1)

Sum of the square of direction cosines equal to

• 1

• 0

• p/2

• None of these

Set of numbers which are proportional to the direction cosines of a straight line is called

• Locus

• Intercepts of the plane

• Direction Ratios

The projection of a line joining the two points (-2, 3, -7) and (3, 6, 1) on the x-axis is .......

• 5

• 3

• 8

• (5, 3, 8)

The required condition for two lines to be perpendicular

If two pairs of opposite edges of a tetrahedron be at right angles, then the third pair cannot be at right angles. Say True or False

• True

• False