ABC be a triangle of area 15(root2) & the vectors AB = i + 2j - 7k, BC = ai + bj + ck #maths #aymqb

If the shortest distance between lines x+2/2 = y+3/3 = z-5/4 & x-3/1 = y-2/-2 = z+4/2 #maths #aymqb

dy/dx - y = 1 + 4Sinx satisfy y(pi) = 1, then y(pi/2) + 10 is #maths #aymqb #differentialequation

Let a = 1 + 2C2/3! + 2C2/3! + 2C2/3!... b = 1 + (1C0 + 1C1)/1! + (2C0 + 2C1 + 2C2)/2! #maths #aymqb

Lim x_1 ((5x + 1)^1/3 - (x + 5)^1/3)/((2x + 3)^1/2 - (x + 4)^1/2), where gcd(m, n) = 1 #maths #aymqb

The System of Equations x + (2Sina)y + (2Cosa)z = 0, x + (Cosa)y + (Sina)z = 0 #maths #aymqb

Let f(x) = -2, x - 2 and h(x) = f(|x|) + |f(x)|, then integration from -2 to 2 of h(x) #maths #aymqb

If 2 and 6 are the Roots of the Equation ax^2 + bx + 1 =0, Then the Quadratic Equation #maths #aymqb

The Mean and Variance of 6 Observations -3, 4, 7, -6, a, b be 2 and 23 respectively #maths #aymqb

A Square is inscribed in the circle x^2 + y^2 - 10x - 6y + 30 = 0. One side of this.. #maths #aymqb

The Sum of all Rational Terms in the expansion of (2^1/5 + 5^1/3)^15 is equal to #maths #aymqb

f: R to R be a Function given by f(x) = (1 - Cos2x)/x^2, Find the value of a^2 + b^2 #maths #aymqb

Let a and b be the sum and the product of all the solution of #complexnumberslocus #maths #aymqb

The Solution of the Differential Equation (x^4 + 2x^3 + 3x^2 + 2x + 2)dy #differential #maths #aymqb

domain of the function sin^(-1)(3x - 22)/(2x - 19) + log(3x^2 - 8x + 5)/(x^2 - 3x 10) #maths #aymqb

There are 5 Points p1, p2, p3, p4, p5 on side AB, excluding A and B of a triangle ABC. #maths #aymqb

Let f(x) = x^5 + 2e^(x/4) for all real numbers. Consider a function g(x) such that g(f(x)) = x.