Frequent Questions

How many pluses should we put between the digits of 987,654,321 to get a total of 99, and where? ...

Find the sum of n terms and Sum to infinite terms of the Series - 1/4 + 1.3/4.6 + 1.3.5/4.6.8 + 1.3.5.7/4.6.8.10 +............. ...

If Tan A/2 = (Tan B/2)3 and Tan B = 2 Tan C then find (A + B)\C. ...

If a, b, c are the sides of triangle ABC satisfying log(1+c/a) + log a – log b = log 2. Also a(1 – x2) + 2bx + c(1 + x2) = 0 has two equal roots. Find the value of sin A + sin B + sin C. ...

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1) If the curves ax2 + 4xy + 2y2 + x + y + 5 = 0 and ax2 + 6xy + 5y2 + 2x + 3y + 8 = 0 intersect at four concyclic points, then the value of |a| is... 2) For 0 < x < pi/2 the solution of \sum_{m=1}^{6}{} cosec {x + (m - ...

Problem: When a photon is emitted from an atom, the atom recoils. The kinetic energy of recoil and the energy of the photon come from the difference in energies between the states involved in the transistion. Suppose, a hydro ...

A plank of mass 10 kg rests on a smooth horizontal surface . Two blocks A and B of masses m = 2kg and m = 1 kg resp. lie at a distance of 3 m on the plank as shown in the figure . The friction coeff. b/w the blocks and plank ...

A thin spherical shell of total mass M and radius R is held fixed. There is a small hole in the shell. A mass m is released from rest at a distance R from the hole along a straight line that passes through the hole and also t ...

IF (sin4x)/2+(cos4x)/3=1/5 then (a)tan2x=2/3 (b)sin8x/8+cos8x/27=1/125 (c)tan2x=1/3 (d)sin8x/8+cos8x/27=2/125??? It's mulit ans question... ...

The coordinates of the point on the parabola y2 = 8x , which is at mininmum distance from circle x2 + (y-6)2 = 1 are (A) (2,-4) (B) (18,12) (C) (2,4) (D) none ...

A rope ladder with a length L carrying a man of mass m at its end is attached to the basket of a balloon with a mass M. The entire system is in equilibrium in the air. Find the work the man should do to climb into the basket. ...

A tree trunk in form of a cylinder of radius R lies on a horizontal field. A lazy grasshopper wants to jump over it. What minimum launching speed will suffice for it? Assume that the air resistance is negligible and that the ...

A rod OA of mass 4 kg is held in horizontal position by a massless string AB as shown in the figure,Length of the rod is 2 m .Find : a.tension in the string b.net force exerted gy the hingre on the rod *Image* ...

If f(x)=(sin3x+Asin2x+Bsinx)/x5. when x is not equal to 0. Find A and B given that the function is continuous at x=0 and also find f(0)! ...

A drinking straw of length 3a/2 and mass 2m is placed on a square table of side 'a' parallel to one of its sides such that one third of its length extends beyond the table.An insect of mass m/2 lands on the inner end ...

Nitrogen at bridgehead act as lewis base but how?? If nitrogen will give its lone pair then positive charge will appear on bridgehead and it will become sp2 which is not possible... Then how?? ...

64 players play in a knockout tournament. Assuming all players are of equal strength, probabilty that P1 loses to P2 and P3 becomes eventual winner is? ...

Given: Ag(NH3)2 1Ag+2NH3, Kc=6.2*10^-8 and Ksp of AgCl=1.8*10^-10 at 298K. if ammonia is added to water solution containing excess of Agcl(s) only .Calculate the concentration of complex in 1M aqueous ammonia ...

Tell me somebody how to integrate this How to integrate dv/ v2+ 2v,??? ...

Figure (15-E11) shows a string stretched by a block going over a pulley. The string vibrates in its tenth harmonic in unison with a particular tuning fork. When a beaker containing water is brought under the block so that the ...

A circle which contain a quadrelateral of maximum area and this quadralateral is contain a triangle of maximum area..IF triangle has its side of 4cm. Then find out all side of quadralateral and diameter of circle. ...

A variable tangent of ellipse x^2/a^2 + y^2/b^2 =1 Meets co-ordinate axes at point A & B, then find the min. Area of circumcircle of triangle OAB??? ...

Prove that two of the straight lines represented by equation ax^3 + bx^2y + cxy^2 + dy^3 =0 will be at right angled if a^2 + ac + bd + d^2 =0. ...

a square is inscribed in a circle x2+y2-2x+4y+3=0, whose sides are parallel to the coordinates axes one vertex of the square is? ...

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the magnetic field due to current carrying circular loop of radius 3cm at a point on the axis at a distance of 4cm from the centre is 54 micro tesla. what will be its value at the centre of the loop ...

does propan-2-ol give iodoform test ? confused about it. So thought of asking it here. Really confused about it hmm?? ...

If m1 and m2 are the roots of the equation x^2+(√3+2)x+√3-1=0.then find the area of the triangle formed by the lines y=m1x,y=m2x and y=c. ...

At 200 degree Celsius pcl5 dissociate as follows pcl5= pcl3 +cl2 .it was found that the equilibrium vapours are 62 times as heavy as hydrogen .The degree of dissociation of pcl5 at 200 degree Celsius is ...