Let `(a-1)(a-3)(a+2)x^2-2(a-1)(a-3)x+(a-3)(a+2)=0, 8 in R` be an equation,

Let (a-1)(a-3)(a+2)x^(2)-2(a-1)(a-3)x+(a-3)(a+2)=0,8in R be an equation,

Let f(x)=(r-2)(r+1)x^(2)+r(r-2)x-r(r-2)=0, where r in I,x in R. If roots of the equation f(x_(i)) are real and sum_(i=1)^(3)(f(x_(i)))^(2)=0, then the value of r is

Let f(x) =|{:(1,1,1),(3-x,5-3x^(2),3x^(3)-1),(2x^(2)-1,3x^(5)-1,7x^(8)-1):}| then the equation f(x) =0 has

Let A={a in R} the equation (1+2i)x^(3)-2(3+i)x^(2)+(5-4i)x+a^(2)=0 has at least one real root.Then the value of (sum a^(2))/(2) is

Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decreasing is [1,5) , then roots of the equation (f(x)-14)/((x-1)^2)=0 is (A) 1 (B) 3 (C) 7 (D) -2

Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decreasing is [1,5) , then roots of the equation (f(x)-14)/((x-1)^2)=0 is (A) 1 (B) 3 (C) 7 (D) -2

Let f(x)= x^4- 3x^3 + 2x^2-3x+ a .If f(sqrt-1)= 0 and a in R then prove that f (x) < 0 for x in (1,2) .

Let X ={1, 2, 3} and R = {(1, 1), (2, 2), (3, 3), (2, 3)} be a relation on the X.Then which one is not true

Let a_(2),a_(3)epsilonR be such that |a_(2)-a_(3)|=6 , Let f(x)=|(1,a_(3),a_(2)),(1,a_(3),2a_(2)-x),(1,2a_(3)-x,a_(2))|, x epsilon R The maximum value of f(x) is

Let 2f(x^(2))+3f(11x^(2))=x^(2)-1 for all x in R=[0], Then f(x) equals