CBSE Class 12 Mathematics Question paper 2005 (4). Students can download the last year question papers using the link below. Free download of examination question papers with solutions.Last 10 year question papers should be practised to get better marks in examinations.
1.Show that the height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is 6 cm.
2.A body moves for 3 seconds with a uniform acceleration and describes a distance of 108 m At that point the acceleration ceases and the body covers distance of 126 m in the next 3 seconds. Find the initial velocity and acceleration of the body.
3.A body is projected with a velocity of 24 m/sec at an angle of 60 0 with horizontal. Find
(a) The equation of its path;
(b) The time of flight; and
(c) The maximum height attained by it.
4.A particle is projected so as to graze the tops of two walls, each of height 10 m, at 15 m and 45 m, respectively from the point of projected. Find the angle of projection.
5.A and B are two fixed in a horizontal line at a distance 50 cm apart. Two find strings AC ad BC of length 30 cm and 40 cm respectively support a weight w at C. show that the tensions in the strings CA and CB are in the ratio of 4 :3.
6. The resultant of two unlike parallel forces of 18N and 10N acts along a line at a distance of 12 cm from the line of action of the smaller force. Find the distance between the lines of action of the two given forces.
7. A speaks the truth 8 time out of 10 times. A die is tossed. He reports that it was 5.What is the probability that it was actually 5?
8. A coin is tossed 4 times. Find the mean and variance of the probability distribution of the number of heads.
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