Add the following: `3frac{1}{13} + 1frac{4}{13} + 2frac{3}{13}`

Add the following: 3/13 + 7/13 + 1/13

Let (alpha, beta, gamma) be the foot of perpendicular from the point (1, 2, 3,) on the line frac{x 3}{5} = frac{y - 1}{2} = frac{z 4}{3} then 19 (alpha beta gamma)

If reflection of A(1, -10, 1) about the line frac{x-1}{2} = frac{y-1}{3}=frac{z-2}{5} is (alpha, beta, gamma) then the |2 alpha 3 beta 5 gamma| is

Find the value of : (2frac{2}{3}).(2frac{1}{5})

If the shortest distance between the lines frac{x - lambda} {-2} = frac{y - 2} {1} = frac{z - 1} {1} and frac{x - sqrt 3}{1} = frac{y-1}{-2} = frac{z-2}{1} is 1, then the sum of all possible values of lambda is :

Find the coefficient of x^n in the expansion of (1+frac{x}{1!}+frac{x^2}{2!}+frac{x^3}{3!}+...+frac{x^n}{n!})^2 .

2.Simplify 1frac{3}{4}xx2frac{2}{5}xx3frac{4}{7}

2.Simplify 1frac{3}{4}xx2frac{2}{5}xx3frac{4}{7}

Determine the term independent of a in the expansion of (frac{a+1}{a^frac{2}{3}-a^frac{1}{3}+1)-frac{a-1}{a-a^frac{1}{2}))^10

Find the sum of 1frac(3)(5) + 1frac(8)(9) + 2frac(4)(5)