If roots of the equation x 4 – 12x 3 + bx 2 + cx + 81 = 0 are positive then Value of c is
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If roots of the equation x4 – 12x3 + bx2 + cx + 81 = 0 are positive then
Value of c is
- 108
- –108
- 54
- – 54
Answer
(B) –108
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The value of ( 1+i 3 1-i 3 )^ 6 + ( 1-i 3 1+i 3 )^ 6 is
- Assertion : If |z| ≥ 2, then the least value of |z+ 1 2 | is 3 2 . Reason : |z 1 + z 2 | ≤ |z 1 | + |z 2 |
- Which of the following is a fourth root of 1 2 + i 3 2 ?
- The roots of the equation, (x 2 + 1) 2 = x(3x 2 + 4x + 3), are given by
- The value of m for which one of the roots of x 2 – 3x + 2m = 0 is double of one of the roots of x 2 – x + m =…
- For a complex number z the minimum value of | z | + | z – 2 | is
- If the quadratic equations, 3x 2 + ax + 1 = 0 and 2x 2 + bx + 1 = 0 have a common root, then the value of the…
- If the complex numbers z 1 , z 2 , z 3 satisfying z_ 1 -z_ 3 z_ 2 -z_ 3 = 1-i 3 2 then triangle is
More Complex Numbers and Quadratic Equations questions · Browse all practice questions