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  • Question 1
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    A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest cabman takes him along a circuitous path 23 km long and reaches the hotel in 28 min, what is the average velocity of the taxi?

  • Question 2
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    The co-ordinates of moving particle at any time t are given as x = α3 and y = βt3 . The Speed of the particle at t is given by:

  • Question 3
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    A block weighing 981 N is resting on a horizontal surface. The coefficient of friction between the block and the horizontal surface is μ = 0.2. A vertical cable attached to the block provides partial support as shown. A man can pull horizontally with a force of 100 N. What will be the tension, T (in N) in the cable if the man is just able to move the block to the right?

  • Question 4
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  • Question 5
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    If y-axis is generator line of the cone ax2 + by2 + cz2 + 2fyz + 2gzx + 2hxy = 0, then value of b is equal to:

  • Question 6
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  • Question 7
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    If the standard deviation of n elements of the series x1, x2, x3…….,xn is σ, then find the variance of the series

  • Question 8
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    The tension produced in string AB, as shown in following fig, is ______.

  • Question 9
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    The feasible region of an LPP is shown in the figure. If z = 3x + 9y , then the minimum value of z occurs at:

  • Question 10
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