" If "c>0" and "4a+c<2b" then "ax^(2)-bx+c=0" has a root in the interval "

if c gt 0 and 4a + c < 2 b then ax^(2) - bx + c=0 has a root in the interval

Sum of the sqaures of the distances from a point to ( c, 0 ) and ( - c , 0) is 4 c ^ 2 . Its locus is

Sum of the squares of the distances from a point to (c,0) and (-c,0) is 4c^(2) .Its locus is

Two electrons are moving in opposite directions with speeds 0.8c and 0.4c where c is the speed of lights in vacuum. Then the relative speed is about

Find the coefficient of x^(4) in the expansion of (1+x)^(n)(1-x)^(n). Deduce that C_(2) = C_(0)C_(4) - C_(1)C_(3) +C_(2)C_(2)-C_(3)C_(1)+ C_(4)C_(0)," where "C_(r) " stands for " ^(n)C_(r).

The molal freezing points constant of water is 1.86 K kg "mol"^(-1) . Therefore, the freezing point of 0.1 M NaCl in water is expected to be 1) -1.86^(@)C 2) -0.372^(@)C 3) -0.186^(@)C 4) +0.372^(@)C

Find the change in the internal energy of 2 kg of water as it heated from 0^(0)C to 4^(0)C . The specific heat capacity of water is 4200 J kg^(-1) K^(-1) and its densities at 0^(0)C and 4^(0)C are 999.9 kg m^(-3) and 1000 kg m^(-3) respectively. atmospheric pressure =10^(5) Pa.

Find the change in the internal energy of 2 kg of water as it heated from 0^(0)C to 4^(0)C . The specific heat capacity of water is 4200 J kg^(-1) K^(-1) and its densities at 0^(0)C and 4^(0)C are 999.9 kg m^(-3) and 1000 kg m^(-3) respectively. atmospheric pressure =10^(5) Pa.