prove that if the side of a triangle is extended then the exterior angle is equal to sum of its remote interior angles
Alpha , beta are the roots of x^2+x +1=0 then equation whose roots are alpha^19, beta^16.
Two pairs of straight lines y^2+xy-12x^2=0, and ax^2+2hxy +by^2 =0 have one line in common then
Divide 32 into four parts which are in AP, such that the ratio of product of extremes to the
product of means is 7:15.