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In the Figure FD\\AC, the area of AEF = 6sq.cm. AE = 3cm, BC = 3cm, CD = 5cm, < BCD is an obtuse angle. Find the length of BD.
A\(\sqrt{33}\)
B6
C4
D2\(\sqrt{13}\)
E4\(\sqrt{5}\)
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Question 2182
jamb1978
In the figure, AB is parallel to CD then x + y + z is
A185o
B200o
C270o
D360o
E195o
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Question 2183
jamb1978
In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.
A4cm
B6cm
C3cm
D2cm
E1cm
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Question 2184
jamb1978
The smallest number such that when it is divided by 8 has a remainder of 6 and when it is divided by 9, has a remainder of 7 is
A387
B493
C502
D441
E634
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Question 2185
jamb1978
Add the same number to the numerator and denominator of \(\frac{3}{18}\). If the resulting fraction is \(\frac{1}{2}\), then the number added is
A13
B14
C15
D12
E11
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Question 2186
jamb1978
The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b
A2
B4
C\(\sqrt{10}\)
D35
E2.2
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Question 2187
jamb1978
The angle of elevation of the top of a vertical tower from a point A on the ground is 60o. From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45o. Find the distance of A from the foot of the tower
Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)
A-3
B3
C\(\frac{3}{5}\)
D\(\frac{-3}{2}\)
E1n 6 - 2 1n 5
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Question 2191
jamb1978
The locus of all points having a distance of 1 unit from each of the two fixed points a and b is
Aa line parallel to the line ab
Ba line perpendicular to the line ab through the mid-point of ab
Ca circle through a and b with centre at the mid-point of ab
Da circle with centre at a and passes through b
Ea circle in a plane perpendicular to ab and centre at the mid-point of the line ab
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Question 2192
jamb1978
Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge \(\frac{7}{4}\) is
A0.5326
B3.4958
C0.4816
D0.0142
E1.3594
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Question 2193
jamb1978
If (25)\(^{x - 1}\) = 64(\(\frac{5}{2}\))\(^6\), then x has the value
A7
B4
C32
D64
E5
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Question 2194
jamb1978
Two triangles have the same areas if
Atwo sides in one triangle are equal to two sides in the other
Bthree sides in one triangle are equal to three sides in the other
Ctwo angles in the triangle are equal to two angles in the other
Dthree angles in one triangle are equal to three angles in the other
Eone side and the opposite angle in one triangle are equal to one side and the opposite angle in the other
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Question 2195
jamb1978
The quantity (x + y) is a factor of
Ax2 + y2
Bx3 - y3
C2x2 - 3xy + y2 - x + 1
D2x3 + 2x2y - xy + 3x - y2 + 3y
Ex5 - y5
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Question 2196
jamb1978
A solid sphere of radius 3cm, a solid right cone of radius 3cm and height 12cm and a solid right circular cycular of radius 3cm and height 4cm.Which of the following statements is true?
Athe volume of the sphere is greater than the volume of the cone
Bthe volume of the cone is less than the volume of the cylinder
Cthe total surface area of the cone is greater than that of the sphere
DThe total surface area of the cylinder is less than that of the sphere
Ethe total sufeac area of the cone is equal to that of the cylinder
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Question 2197
jamb1978
The set of value of x and y which satisfies the equations x2 - y - 1 = 0 and y - 2x + 2 = 0 is
A1, 0
B1, 1
C2, 2
D0, 2
E1, 2
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Question 2198
jamb1978
If sec\(^2\) \(\theta\) + tan\(^2\) \(\theta\) = 3, then the angle \(\theta\) is equal to
A30o
B45o
C60o
D90o
E105o
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Question 2199
jamb1978
In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively
A1, 1.8 and 1.5
B1.8, 1.5 and 1
C1.8, 1 and 1.5
D1.51, 1 and 1.8
E1.5, 1.8 and 1
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Question 2200
jamb1978
A pyramid is constructed on a cuboid. The figure has
