If a, b, c are real, then f(x)= | array ccc x+a^ 2 & a b & a c a b & x+b^ 2 & b c a c & b…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If a, b, c are real, then \[f(x)=\left|\begin{array}{ccc}
x+a^{2} & a b & a c \\
a b & x+b^{2} & b c \\
a c & b c & x+c^{2}
\end{array}\right|\] is decreasing on
- \(\left(-\frac{2}{3}\left(a^{2}+b^{2}+c^{2}\right), 0\right)\)
- \(\left(0, \frac{2}{3}\left(a^{2}+b^{2}+c^{2}\right)\right)\)
- \(\left(\left(\frac{a^{2}+b^{2}+c^{2}}{3}\right), 0\right)\)
- None of these
Answer
(D) None of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The diagram shows the graph of the derivative of a function f (x) for 0 f (0) = 0 . Which of the following…
- If y=f(x) is a curve and if there exists two points A (x_ 1 , f (x_ 1 ) ) and B (x_ 2 , f (x_ 2 ) ) on it…
- The point on the curve y-e^ x y +x=0 at which curve have vertical tangent is
- How many real solutions does the equation x 7 + 14x 5 + 16x 3 + 30x – 560 = 0 have ?
- If y= [ ^ -1 1 1+x+x^ 2 + ^ -1 1 x^ 2 +3 x+3 + . .+ ^ -1 1 x^ 2 +5 x+7 + . upton terms ] then y ^ (0) equals
- Assertion : The minimum distance of the fixed point (0, y 0 ), where 0 y _ 0 1 2 , from the curve y = x 2 is…
- If y= x+e^ x then d^ 2 x d y^ 2 is equal to
- A wire of length 25m is to be cut into two pieces one of the wires is to be made into square and other into a…
More Limit, Continuity and Differentiability questions · Browse all practice questions