If a _ 1 are the roots of the equation x^ 2 +m x+n=0 , then the equation whose roots are…

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

1. \({ }^{4} x^{2}-n \mid\left(m^{2}-2 n \mid\right) x+n^{4}=0\)
2. \({ }^{4} x^{2}+n \mid\left(m^{2}-2 n \mid\right) x+n^{4}=0\)
3. \({ }^{4} x^{2}+n \mid\left(m^{2}-2 n \mid\right) x-n^{4}=0\)
4. \({ }^{4} x^{2}-n \mid\left(m^{2}+2 n \mid\right) x+n^{4}=0\)

Answer

(B) ^ 4 x^ 2 +n (m^ 2 -2 n ) x+n^ 4 =0

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• If a+i b = x + iy, then possible value of a-i b is
• If p, q, r are positive numbers and are in A.P., then the roots of quadratic equation p x 2 + q x + r = 0 are…
• If is complex cube root of unity and a, b, c are three real numbers such that array l 1 a+ + 1 b+ + 1 c+ =2 ^…
• Let p(x) be a quadratic polynomial such that p(0) = 1, if p(x) leaves remainder 4 when divided by x - 1 and…
• If z and ω are two non-zero complex numbers such that |zω| = 1 and Arg (z) - Arg(ω) = 2 , then 2 is equal to
• If the roots of the equation (x - b) (x - c) + (x - c) (x - a) + (x -a) (x - b) = 0 are equal, then
• Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always
• If and are the roots of x ^ 2 + x +1=0 , then ( ^ 15 + ^ 15 ) is equal to

More Complex Numbers and Quadratic Equations questions · Browse all practice questions