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If f(x) is an invertible func such that f(x) + f(-x)=2a then ∫a-xa+x f-1(t)dt equals : ...
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If f(x) is an invertible func such that f(x) + f(-x)=2a then ∫a-xa+x f-1(t)dt equals : ...
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Out of (2n+1) tickets numbered consecutively, three are drawn at random. the chance that the numbers on them are in A.P is (a) n2/4n2-1 (b) 2n/4n2-1 (c) 3n/4n2-1 (d) 4n/4n2-1 ...
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If A = {1,2,3,4....18,19} then the number of functions f : A→A such that f(x)=y and sum of digits of x is equal to the sum of digits of y is (a) 540 (b) 219 (c) 218 (d) 720 ...
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If A = {1,2,3,4....18,19} then the number of functions f : A→A such that f(x)=y and sum of digits of x is equal to the sum of digits of y is (a) 540 (b) 219 (c) 218 (d) 720 ...
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If three positive real numbers a, b, c are in A.P. such that abc = 4, then the minimum possible value of b is (a) 23/2 (b) 22/3 (c)21/3 (d) 25/2 ...
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Number of zeroes at the end of the number Î rr where r varies from 1 to 25, is (a) 50 (b) 49 (c) 49 (d) 100 ...
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Two distinct numbers a and b are chosen randomly from the set {2, 22, 23, 24, ......, 225}. Find the probability that logab is an integer. ...
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Assertion: If pressure of an ideal gas is doubled and volume is halved, then its internal energy will remain unchanged. Reason: Internal energy of an ideal gas is a function of temperature only. ...
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Assertion: In series L-C-R circuit, voltage will lead the current function for frequency greater than the resonance frequency. Reason: At resonance frequency, phase difference between current function and voltage function is ...
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Assertion: Electric field produced by a variable magnetic field can't exert a force on a charged particle. Reason: This electric field is non-conservative in nature. ...
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Assertion: A small electric dipole is moved translationally from higher potential to lower potential in uniform electric field. Work done by electric field is positive. Reason: When a positive charge moved from higher to lowe ...
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Assertion: A solid sphere and a hollow sphere are rolling on the ground with same total K.E. If transnational K.E of solid sphere is K, then translation energy of hollow sphere should be greater than k. Reason: In case of hol ...
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