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x1, x2, x3, x4 are real nos. x1 < x2 < x3 < x4. Product of any three chosen at a time + the remaining = 130. Find the sum of all possible values of x4 rounded to the nearest decimal place. ...
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lim n ->∞ 1/2n log(2nCn) ...
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Prove that if the equation a_{0}x^{n} + a_{1}x^{n-1} + ... + a_{n-1}x = 0 has a positive root x0 then the equation na_{0}x^{n-1} + (n-1)a_{1}x^{n-2} + ... + a_{n-1} = 0 has a positive root less than x0 ...
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Two particles execute SHM of same amplitude of 20 cm with same period along the same line about the same equilibrium position. The maximum distance between the two is 20 cm. Their phase difference in radians is ...
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Two particles are in SHM in a straight line about same equilibrium position. Amplitude A and time period T of both the particles are equal. At time t=0, one particle is at displacement y1= +A and the other at y2= –A/2, and ...
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In the reaction 2A + B o {A_2}B , if the concentration of A is doubled and of B is halved, then the rate of the reaction will ...
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A particle of mass 1 gm executes an oscillatory motion on a concave surface of radius of curvature 2m. If the particle starts its motion from a point at a height of 1 cm from the horizontal and the coefficient of friction is ...
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A block is given certain upward velocity along the incline of elevation α.The time of ascent to upper point was found to be half the time of descent to initial point.The co-efficient of friction between block and incline is: ...
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A block is given certain upward velocity along the incline of elevation α.The time of ascent to upper point was found to be half the time of descent to initial point.The co-efficient of friction between block and inclin ...
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Find the net contact force on the 1 kg block.(Take sqrt{5}approx 2 for this question) *Image* ...
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Three masses {{m}_{1}},,,{{m}_{2}} and {{m}_{3}} are attached to a string pulley system as shown. All three masses are held at rest and then released. To keep {{m}_{3}} at rest, the condition is *Image* ...
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What is the minimum velocity of a projectile to cross a point (a,b) if it starts from the origin? Please show the proof. ...
