If `(x-a^2-b^2)/c^2+c^2/(x-a^2-b^2)=2` the value of `x` is

If |(a-b-c, 2a, 2a),(2b, b-a-c, 2b),(2c, 2c, c-a-b)|=(a+b+c)(x+a+b+c^2) then thhe value of x is equal to (A) -2(a+b+c) (B) a+b+c (C) -(a+b+c) (D) 2(a+b+c)

In DeltaABC if 2s =a +b+c and (s-b)(s-c)=x" sin"^(2)(A)/(2) ,then the value of x is

If |(a-b-c, 2a, 2a),(2b, b-a-c, 2b),(2c, 2c, c-a-b)|=(a+b+c)(x+a+b+c)^2 then the value of x is equal to (A) -2(a+b+c) (B) a+b+c (C) -(a+b+c) (D) 2(a+b+c)

If (x)/((b-c)(b+c-2a))=(y)/((c-a)(c+a-2b))=(z)/((a-b)(a+b-2c)) then the value of (x+y+z) is :

Suppose a ,b ,c in I such that the greatest common divisor for x^2+a x+b and x^2+bx+c is (x+1) and the least common multiple of x^2+a x+b and x^2+b x+c is (x^3-4x^2+x+6) . Then the value of |a+b+c| is equal to ___________.

Suppose a ,b ,c in I such that the greatest common divisor for x^2+a x+b and x^2+bx+c is (x+1) and the least common multiple of x^2+a x+b and x^2+b x+c is (x^3-4x^2+x+6) . Then the value of |a+b+c| is equal to ___________.

Given int_0^(oo) (x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2))) = pi/(2(a+b)(b+c)(c+a)) the value of int_0^(oo) (dx)/((x^(2)+4)(x^(2)+9)) =

If the roots of (a^2+b^2 ) x^2 -2b(a+c)x+(b^2 +c^2 ) =0 are equal then a, b, c are in