JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Medium

1 of 1

Analyzing +4 | -1

a, b

c

be 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

View answer and explanation

Correct option: A

\left(-\frac{2}{3}\left(a^2+b^2+c^2\right), 0\right)

Option A (

\left(-\frac{{2}}{{3}}\left(a^2+b^2+c^2\right), 0\right)

) is correct because the function

f(x)

is decreasing when its derivative is negative, which occurs on the given interval.

More Questions from INCREASING & DECREASING

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)