A point on a line has coordinates where p is any real number. What are the direction cosines of the line ?
Cannot be determined due to insufficient data
What is the equation of the plane which cuts an intercept 5 units on the z-axis and is parallel to xy-plane ?
x + y = 5
z = 5
z = 0
x + y + z = 5
Into how many compartments do the coordinate planes divide the space ?
2
4
8
16
C.
8
The eight compartments of the coordinate planes divide the space.Eight compartments which are known as eight octants and since each of the coordinates of a point in them may be positive or negative, there are
23 = 8 points whose coordinate have the same numerical values.
If a line has direction ratios < a + b, b + c, c + a >, then what is the sum of the square of its direction cosines ?
(a + b + c)2
2(a + b + c)
3
1
What is the perpendicular distance from the point (2, 3, 4) to the line ?
6 units
5 units
3 units
2
What is the length of the diameter of the sphere whose centre is at (1, - 2, 3) and which touches the plane 6x – 3y + 2z – 4 = 0 ?
1 unit
2 units
3 units
4 units