The equation of motion of a missile are x = 3t, y = -4t, z = t, where the time ‘t’ is given in seconds, and the distance is measured in kilometres.

Based on the above answer the following:

**1.** What is the path of the missile?

a. Straight line

b. Parabola

c. Circle

d. Ellipse

**2.** Which of the following points lie on the path of the missile?

a. (6, 8, 2)

b. (6, -8, -2)

c. (6, -8, 2)

d. (-6, -8, 2)

**3.** At what distance will the rocket be from the starting point (0, 0, 0) in 5 seconds?

a. \(\sqrt{550}\) kms

b. \(\sqrt{650}\) kms

c. \(\sqrt{450}\) kms

d. \(\sqrt{750}\) kms

**4. **If the position of rocket at a certain instant of time is (5, -8, 10), then what will be the height of the rocket from the ground? (The ground is considered as the xy – plane).

a. 12 km

b. 11 km

c. 20 km

d. 10 km

**5.** At a certain instant of time, if the missile is above the sea level, where the equation of the surface of sea is given by 2x + y + 3z = 1 and the position of the missile at that instant of time is (1, 1, 2), then the image of the position of the rocket in the sea is