Assertion: If one roots is 5 - 2 is then the equation of lowest degree with rational…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
Assertion: If one roots is \(\sqrt{5}-\sqrt{2}\) is then the equation of lowest degree with rational coefficient is x4 – 14x2 + 9 = 0.
Reason: For a polynomial equation with rational co-efficient irrational roots occurs in pairs.
Reason: For a polynomial equation with rational co-efficient irrational roots occurs in pairs.
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false.
- If Assertion is false, Reason is true.
Answer
(A) If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If a < 0, then root of the equation x 2 – 2a |x – a| – 3a 2 = 0 is
- If arg ( z _ 1 ) = arg (z 2 ), then
- If b 1 and x 2 of the equation 2x 2 + 6x + b = 0, satisfy the condition ( x_ 1 x_ 2 )+ ( x_ 2 x_ 1 ) < k…
- b > 0 and θ ∈ (–π, π], then the value of θ is
- If ω ≠ 1 is a complex cube root of unity, then sum of the series S = 1 + 2ω + 3ω 2 + ... + 3nω 3n-1 (n ∈ N) is
- If roots of the equation x 4 – 12x 3 + bx 2 + cx + 81 = 0 are positive then Value of b is
- The harmonic mean of the roots of the equation (5 + ) x 2 – (4 + ) x + 8 + = 0 is
- If | z_ 1 z-z_ 2 z_ 1 z+z_ 2 |=K, K > 0 (z 1 , z 2 ≠ 0), then
More Complex Numbers and Quadratic Equations questions · Browse all practice questions