CBSE Class 12 Mathematics Question paper 2005 (3). 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.The surface area of a spherical bubble is increasing at the rate of 2 cm2/sec. find the rate at which the volume of the bubble is increasing at the instant its radius is 6 cm.
2. A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.
3. A car, traveling with a uniform acceleration, has a velocity of 18 km/hour at a certain time and 54 km/hour after covering a distance of 500m. How much further will it travel to attain a velocity of 72 km/hour?
4. A cricket ball is project with a velocity of 29.4 m/sec. Find
(a) The greatest range on the horizontal plane; and
(b) The angle of projection to give a range of 44.10 m.
5.Find the co-ordinates of the foot of the perpendicular drawn from the point A(1,8,4,) to the line joining the points B(0,-1,3) and C(2,-3,-1).
6.Three forces acting on a particle are in equilibrium. If the angle between the first force and the second force be 120 0 and that between the second force and the third force be 135 0 , find the ratio of their magnitudes.
7.Find the Cartesian as well as the vector equation of the plants passing through the intersection of the plants.
8.Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 plants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimize the labour cost to produce at lest 60 shirts and 32 pants.
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