If (x + 3264 $\times$ 3266) be a square number, then the value of x is -
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2 .
It cost Rs. 11 a kilometer by an aeroplane and Rs. 5 a kilometer by car to a man. If the man travels 226 kms covering A km of the distance by aeroplane and the rest of distance by car, then the cost of the trip is -
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3 .
Find the value of x in $x - 1 \over x + 1$ + $x + 1 \over x - 1$ = $18 \over 7$
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4 .
If x + $1\over x$ = $\sqrt{20}$, then value of $x^3 $ - $1 \over x^3$ is ----
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5 .
At a point on the ground, the angle of elevation of the top of a tower is found to be such that tan A = $8\over15$ . On walking 117 meters towards the tower, the angle of elevation is found to be such that tan B = $3\over 4$ . The height of the tower is -
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6 .
The value of (5 $tan^ 2$ 60° - $3\over 2$ $sin^ 2$ 30° - $1\over 2$ $cos^ 2$ 45° + $3\over 2$ $cot^ 2$ 45° ) is -
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7 .
If ax+ by= 6 ,bx- ay= 7 and $x^ 2$ + $y^ 2$ = 5, then the value of $a^ 2$ + $b^ 2 $ is -
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8 .
An exterior angle of a regular polygon is 90° , then find the number of sides of the polygon
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9 .
The length and breadth of a rectangle are 20 m and 15 m respectively. If length is increased by 20% and the breadth by 30%, the percentage increase in its area is -
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10 .
An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square ?
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