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The probability that a randomly chosen relation from a set A = {1, 2, . . . n}, n ≥ 1 to itself is a symmetric relation is (A) 2- n2+n/2 (B) 2 -n2/2 (C) 2 n-n2/2 (D) 2 n+1-n2/2 ...
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If we want to find out the the equation of the angle bisector of one of the angles of a triangle, how do we find out which sign(+/-) to take? Sir had told this in class but I can't remember now. ...
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What is the difference between regiospecific and regioselective; and stereospecific and stereoselective? ...
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Which topics from S.L.Loney are not required for JEE? ...
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Form the differential equation corresponding to y2-2ay+x2=a2 ...
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How much volume of air will be needed for complete combustion of 10 lit. ethane? I'm getting the answer as 35 but the answer given is 175 lit. ...
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Is there a choice between Biology and Mathematics in the IISER entrance test? ...
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Why are ketones more polar than aldehydes? Shouldn't it be the other way round as ketones have 2 e donating species which reduce their polarity to a larger extent? ...
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What is the difference between a base and a neucleophile? ...
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27 charged water droplets each with a diameter of 2 mm and a charge of 10-12 C coalesce to form a single drop. We have to calculate the potential of the bigger drop. How do I proceed? The answer is 81V. ...
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If f(x1) + f(x2) = f{(x1+x2)/(1+x1x2)} , find f(x). ...
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How will air resistance affect the time of flight of a body thrown vertically upwards? Will the time taken to rise still be equal to the time taken to fall as in both cases the air resistance is opposite to the direction of m ...
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How many atoms will be present in a unit cell of Buckminsterfullerene? What will the unit cell be shaped like? ...
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What is the derivative of f(x)=x |x| ? ...
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The ionization potentials of atoms A and B are 400 and 300 kcal/mol respectively. The electron affinities of these atoms are 80 and 85 kcal/mol respectively. Which of the atoms is more electronegative? ...
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The ratio of minimum kinetic energies of two projectiles of same mass is 4:1. The ratio of the maximum height attained by them is also 4:1. What is the ratio of their ranges? ...
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The area of the parallelogram represented by the vectors A=2i+3j and B=i+4j is? I'm getting the answer as 5 5 but the correct answer is 7.5 units. ...
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How do I solve this: f(x)=cos(logx) find f(x)f(y)-[f(x/y)+f(xy)]/2 ...
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If the radius of the first Bohr orbit is 'a', then what is the De-broglie wavelength of the electron in the 3rd orbit? ...
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How does intermolecular and intramolecular hydrogen bonding affect melting and boiling points of molecules? ...
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If the line 2x-y+1=0 touches a circle at the point (2,5) and the centre of the circle lies on the line x+y-9=0, find the equation of the circle. ...
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Why are alkynes less reactive than alkenes even though they have 2 pi bonds? ...
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How do I prove sin2A-sin2B=sin(A+B)sin(A-B) ? ...
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Is it ever possible that a body moving down an inclined plane acquires so much velocity that it moves higher when it is ascending the other plane? Like in the top picture, can it rise higher than from where it was rolled on t ...
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What is the difference between aqueous and alcoholic K(OH) ? ...
