Institute of Chartered Financial Analysts of India (ICFAI) University 2003 B.Sc Mathematics semestar - Question Paper
Monday, 17 June 2013 10:20Web
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f(x)= abx2+(b2-ac)x-bc.
18. The angles of a quadrilateral in AP whose common difference is 100 .Find the angles.
‘OR’
Which term of the AP: 114, 109, 104, --------- is the 1st negative term?
19. Draw the graph of the subsequent pair of linear equations: x + 3y = six and 2x – 3y = 12 and obtain the area of the region bounded by x = 0, y = 0 and 2x – 3y = 12.
20. Prove that sinA + cosA + sinA – cosA = two
SinA – cosA sinA + cosA sin2A – cos2A
OR
If two tan A = 1, obtain the value of three Cos A + two Sin A
two Cos A – Sin A
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21. For what value of ‘k’ the points A (1, 5), B (k, 1) and C (4, 11) are collinear?
22. Draw a tr ABC in which BC=6cm , AB=5cm and ?ABC=60 then construct a tr similar to the provided tr whose every corresponding side is 3/4th of that of tr ABC.
23. A train overtakes 2 persons who are walking at a speed of two km/hr and four km/hr respectively in he identical direction in which the train is going , the train overtakes them in nine seconds and 10 seconds respectively. obtain the length and speed of the train.
24. Find the ratio in which the line segment joining the points A (3, -6) and B (5, 3) is divided by x-axis.
25. Water flows at the rate of 10 m/min through a circular pipe of five mm diameter. How long would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm?
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26. Prove that in a right triangle the square of the hypotenuse is equal to the sum of square of the other 2 sides. Using the outcome of this theorem prove that the sum of squares on the sides of a rhombus is equal to the sum of squares on its diagonals.
27. If the angle of elevation of a cloud from a point h metres above a lake is a and the angle of depression of its reflection in the lake is ß. Prove that the distance of the cloud from the point of observation is 2h sec a/((tan ß-tan a).
‘OR’
A balloon moving in a straight line passes vertically above points A and B on a horizontal plane 1000 m apart. When above A it has an altitude of 600 as seen from B and when at B it has an altitude of 450 as seen from A. obtain the distance from A of the point where the balloon will touch the ground.
Earning: Approval pending. |