Let a,b,c be the sides of a triangle opposite to angles A,B,C respectively. If at least one root of the quadratic equation ax2+bx+c=0 with integral coefficients is same as one of the roots of the quadratic equation x2+kx+2=0 where k∈N,k>12 , then tan(C+A2)cot(C−A2) is equal to

Let a,b,c be the sides of a triangle opposite to angles A,B,C respecti

1.	Let a,b,c be the sides of a triangle opposite to angles A,B,C respectively. If at least one root of the quadratic equation ax2+bx+c=0 with integral coefficients is same as one of the roots of the quadratic equation x2+kx+2=0 where k∈N,k>12 , then tan(C+A2)cot(C−A2) is equal to
Answer» Let $a, b, c$ be the sides of a triangle opposite to angles $A, B, C$ respectively. If at least one root of the quadratic equation $a x^{2} + b x + c = 0$ with integral coefficients is same as one of the roots of the quadratic equation $x^{2} + k x + 2 = 0$ where $k \in N, k > 12$ , then $tan (\frac{C + A}{2}) cot (\frac{C - A}{2})$ is equal to