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The value of alpha for which the function f(x)=1+alpha x,,alpha e 0 is inverse of itself will be a) -2 b) -1 c) 1 d) 2 ...

An intelligent trader travels from 1 place to another with 3 sacks carrying 30 coconuts each.No sack can hold more than 30 coconuts each.On the way he passes through 30 checkpoints and on each checkpoint he has to give 1 coco ...

If R be the range of a projectile on horizontal plane, and H1 and H2 be the maximum heights for its two possible trajectories,find the relation between the given parameters. ...

The velocity of a train increases at a constant rate α from zero to v and then remains constant for an interval and finally decreases to zero at a constant rate β. If x be the total distance covered,find the total time take ...

Two particles move in an uniform gravitational field with acceleration g. Initially the particles were located at one point and moved with velocities v1 = 3m/s and v2 = 4m/s horizontally in opposite directions. Find the dista ...

A marble rolls off horizontally from the edge of the table and lands on the floor. 1)How long does the marble take to reach the floor? 2)At what horizontal distance from the edge of the table does the marble land? 3)What is t ...

Five men A,B,C,D,E are wearing caps of black or white colour without each knowing the colour of his cap.It is known that a man wearing a black cap always speaks the truth while a man wearing a white cap always lies.If they ma ...

If y = a{e^{mx}} + b{e^{ - mx}} , then frac{{{d^2}y}}{{d{x^2}}} - {m^2}y = a) {m^2}(a{e^{mx}} - b{e^{ - mx}}) b) 1 c) 0 d) None of these ...

If I am Walking towards east,friction acting on me has a direction a.east b. west c. north d. none of the above your answer b correct answer a how? ...

The percentage of void volume in face centred cubic lattice is a) 26% b) 0% c) 32% d) 74% ...

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Find the numebr of solutions of the equation- 8[x2 - x] + 4[x]=13+12[sinx],where [.]denotes the G.I.F. ...

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1. A 8 kg block is at rest on a horizontal floor. If you push horizontally on the 8 kg block with a force of 20 N, it just starts to move. (a) What is the coefficient of static friction? (b) A 10.0 kg block is stacked on top ...

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If f(x1) + f(x2) = f{(x1+x2)/(1+x1x2)} , find f(x). ...

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A rocket with a lift-off mass 20,000 kg is blasted upwards with a an initial acceleration of 5 m/s^2 .Calculate:- the initial force of the blast :- 1) 1 x 10^5 N 2) 3 x 10^5 N 3) 2 x 10^5 N 4) 4 x 10^5 N ...

Four metallic plates are arranged as shown in the figure. If the distance between each plate is d then capacitance of the given system between points A and B is (Given d << A) *Image* a) (epsilon_0 A)/d b) 2 (epsilon_0 ...

limx→0 sin(Ï€cos2x)/x2 ...

mathop {lim }limits_{x o 0} frac{{sin (pi {{cos }^2}x)}}{{{x^2}}} = a) - pi b) pi c) frac{pi }{2} d) 1 ...

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Why does a porter, carrying a heavy load on his back, bend forward? ...

TWO CONDUCTING plates each of area A are separated by distance d and they are parallel to each other. A conducting medium of varying conductivity fills space between them. the conductivity varies linearly σ to 2σ as we move ...

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Let f(x) be a real valued function not identically zero satisfies the equation, f(x+yn)=f(x)+(f(y))n for all real x & y and f'(0)≥0 where n(>1) is an odd natural number. Find f(10) ...

Find 1/2.4 + 1.3/2.4.6 + 1.3.5/2.4.6.8 +....till n terms ...