2. Plot the points (x, y) given in the following table on the plane, choosing suitable unitsof distance on the axes.
1. In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0),(1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
Q 2. A farmer moves along the boundary of a square field of side 10 m in 40 s. What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position?
Q. 15. Illustrate the law of conservation of energy by discussing the energy changes which occur when we draw a pendulum bob to one side and allow it to oscillate. Why does the bob eventually come to rest? What happens to its energy eventually? Is it a violation of the law of conservation of energy?
Q A1. The following is the distance-time table of an object in motion:
|Time in seconds||Distance in metre|
(a) What conclusion can you draw about the acceleration? Is it constant, increasing, decreasing, or zero?
Q. 7. The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:
Represent the data of both the teams on the same graph by frequency polygons. [Hint : First make the class intervals continuous.]
Q. 7. The value of upto decimal places is given below:
(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.
6. In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of PQR and PRS meet at point T, then prove that QTR = QPR.
4. In Fig. 6.42, if lines PQ and RS intersect at point T, such that PRT = 40°, RPT = 95° and TSQ = 75°, find SQT.