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Engineering Physics · Q27

Mathematical Physics

Engineering and GATE · Engineering Physics · question 27

Q27

Consider the four statements given below about the function f(x) = x4 - x2 in the range - < x < + . Which one of the following statement is correct? P. The plot of f(x) versus x has two maxima and two minima. Q. The plot of f(x) versus x cuts the x axis at four points. R. The plot of f(x) versus x has three extrema. S. No part of the plot f(x) versus x lies in the fourth quadrant. Pick the right combination of correct choices from those given below.

Consider the four statements given below about the function f(x) = x4 - x2 in the range    Which one of the following statement is correct?
P. The plot of f(x) versus x has two maxima and two minima.
Q. The plot of f(x) versus x cuts the x axis at four points.
R. The plot of f(x) versus x has three extrema.
S. No part of the plot f(x) versus x lies in the fourth quadrant.
Pick the right combination of correct choices from those given below.
A.
P and R
B.
R only
C.
R and S
Answer
D.
P and Q

Answer: Option C

Solution

Answer: Option C
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