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Five persons entered the lift cabin on the ground floor of an 8-floor house. Suppose that each of them independenly and with equal probability can leave the cabin at any floor beginning with the first. Find the probability of ...
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f(x) = log { log|sin x|(x2-8x+23) - 3/log2|sin x| } Find the domain of this function. ...
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Nine hundred distinct N-digits numbers are to be formed by using 6,8,and 9 only.The smallest value of N for which this is possible is a) 6 b)7 c)8 d)9 ...
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If a,b,c be the three consecutive coefficients in the expansion of a power of (1+x), prove that the index of the power is 2ac + b(a+c)/b2 - ac ...
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183 + 73 + 3.18.7.25/36 + 6.243.2 + 15.81.4 + 20.27.8 + 15.9.16 + 6.3.32 + 64 Find the value of the expression. ...
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*Image* A short semicircular right cylinder of radius r and weight W rest on a horizontal surface and is pulled at right angle to its geometric axis by a horizontal force F applied at the middle Q of the front edge.Find out t ...
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Two straight lines cut the axis of x at distances a and -a and the axis of y at distances b and b° respectively; find the coordinates of their point of intersection. Ans:- { a(b-b°)/(b+b°) , 2bb°/(b+b°) } From: S.L.Loney ...
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*Image* ax= F/2m ( x/√l2-x2 ) ...
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A horizontal plane with the coefficient of friction k supports two bodies : a bar and an electric motor with a battery on the block. A thread attached to the bar is wound on the shaft of the electric motor. The distance betwe ...
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*Image* . ...
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*Image* . ...
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The coordinates of the extremities of a rod are A(1,2) and B(3,4). S(0,0) is the source of light. The rod AB is parallel to the wall and is midway betwen the point source of light and the wall. CD is the shadow of AB on the w ...
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prove that the orthocentre of triangle ABC with A(x1,y1) , B(x2,y2) and C(x3,y3) is H( \sum{} x1tan A/ \sum{} tan A , \sum{} y1tan A/ \sum{} tan A) ...
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Find the no.of triangles that can be formed with the vertices of a polygon of 10 sides as their vertices if 1) the triangle cannot have more than one side in common. 2)the triangle cannot have any side in common with the poly ...
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*Image* . A sphere is rotating between a rough wall and a smooth wedge as shown in the fig. If u is the coefficient of friction between then find the normal reaction between the wall and the sphere. ...
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*Image* . A block of mass m is pushed towards a movable wedge of mass nm and height h with a velocity u. All surfaces are smooth. The minimum value of u for which the block will reach the top of the wedge is... a> √2gh b ...
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A uniform chain of mass m hangs from a light pulley, with unequal lengths hanging from two sides of the pulley. The force exerted by the moving chain on the pulley is ....... a> mg b> >mg c> <mg d> may be an ...
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Let a and b be rel numbers such that sin a+sin b=(√2)/2 and cos a+cos b =(√6)/2 then sin(a+b) will be ???? ...
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We know that friction between two surfaces is due to the uneven nature of the surface of the bodies. But in case of 2 plane mirrors will there be any friction ????? they have perfectly smooth surfaces. The how can we keep one ...
