Question Paper BCECE-Engineering
1. If y is a function of x and log (x + y)= 2xy, then the value of y' (0) is equal to
(a) 1
(b) -1
(c) 2
(d) 0
Ans (A)
2. Let a, b, c be positive and not all equal, the a b c value of the determinant
(a) +ve
(b) –ve
(c) zero
(d) none of these
Ans (B)
3. A variable chord is drawn through the origin to the circle x2 + y2 - tax = 0. The locus of the centre of the circle drawn on this chord as diameter is
(a) x2 + y2 + ax = 0
(b) x2 + y2 - ax = 0
(c) x2 + y2 + ay = 0
(d) x2 + y2 - ay =0
Ans (B)
4. One of the diameter of the circle x2 + y2 - 12x + 4y + 6 = 0 is given by
(a) x + y = 0
(b) x + 3y = 0
(c) x = y
(d) 3x + 2y = 0
Ans (B)
5. On one bank of river there is a tree. On another bank, an observer makes an angle of elevation of 60° at the top of the tree. The angle of elevation of the top of the tree at a distance 20 m away from the bank is 30°. The width of the river is
(a) 20 m
(b) 10 m
(c) 5 m
(d) 1 m
Ans (B)
6. In Boolean algebra, the unit element '1'
(a) has two values
(b) is unique
(c) has at least two values
(d) none of the above
Ans (B)
7. If forces of magnitude 12 kg-wt, S kg-wt and 13 kg-wt act at a point are in equilibrium, then the angle between the first two forces is
(a) 30°
(b) 90°
(c) 60°
(d) 45°
Ans (B)
8. The equation of the plane passing through the mid point of the line of join of the points (1, Z 3) and (3, 4, 5) and perpendicular to it is
(a) x + y + z = 9
(b) x + y + z = - 9
(c) 2x + 3y + 4z = 9
(d)2x+3y+4z=-9
Ans (A)
9. The equation of the circle concentric to the circle 2x2 + 2y2 - 3x + 6y + 2 = 0 and having area double the area of this circle, is
(a) 8x2 + 8y2 - 24x + 48y - 13 = 0
(b) 16x2 + 16y2 + 24x - 48y -13 = 0
(c) 16x2 + 16y2 - 24x + 48y 13= 0
(d) 8x2 + 8y2 + 24x - 48y -13 = 0
Ans (C)
10. A gas is found to have a formula [CO]x. Its vapour density is 70, the x is
(a) 3.0
(b) 3.5
(c) 5.0
(d) 6.5
Ans (C)
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