Q37. The diameters of the front and rear wheel of a tractor are 200 cm and 3 m respectively.
Find the number of revolutions that rear wheel will make to cover the distance which the front
wheel covers in 1500 revolutions.
Q38. As observed from the top of a 100 m high lighthouse from the sea- level, the angles of
depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side
of the lighthouse. Find the distance between the two ships
Q39. Determine the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8), also
find the value of m.
Q40. Find the value of x by using quadratic formula 4a2x
2 + 8abx + 3b2 = 0
Answers
Answer:
Q37. The diameters of the front and rear wheel of a tractor are 200 cm and 3 m respectively.
Find the number of revolutions that rear wheel will make to cover the distance which the front
wheel covers in 1500 revolutions.
Q38. As observed from the top of a 100 m high lighthouse from the sea- level, the angles of
depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side
of the lighthouse. Find the distance between the two ships
Q39. Determine the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8), also
find the value of m.
Q40. Find the value of x by using quadratic formula 4a2x
2 + 8abx + 3b2 = 0
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Circumference of front wheel
= 2 pi r x 2
=2 x 3.14 x 3 x 2 m
=6 x 3.14 x 2m
=18.84 x 2m
=37.68
Circumference of rear wheel
=4 pi r
=4 x 3.14 x r
=4 x 3.14 x 2 m
=8 x 3.14m
=25.12m