Question

Find the co-ordinate of the circumcentre of the triangle formed by the points whose vertices are (1,1,0),(1,2,1)and (-2,2-1).

FIND THE VECTOR equation.of the line joining (1,2,3)and(-3,4,3)and show that it is perpendicular to z-axis .

If the coefficient of x and x^2 in expansion of (1+x)^m(1-x)^n are 3 and -6respectively.then find the value of m and n

Let p and q be two real number with p>0. Show the cubic x^3 +px +q has exactly one real root