1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The maximum value of $$f(x)=\frac{x}{1+4 x+x^2}$$ is

A
$$1 / 4$$
B
$$1 / 5$$
C
$$1 / 6$$
D
$$1 / 7$$
2
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The minimum value of $$f(x)=x+\frac{4}{x+2}$$ is

A
$$-$$1
B
$$-$$2
C
1
D
2
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The condition that $$f(x)=a x^3+b x^2+c x+d$$ has no extreme value is

A
$$b^2-4 a c$$
B
$$b^2=3 a c$$
C
$$b^2<3 a c$$
D
$$b^2>3 a c$$
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

At any point $$(x, y)$$ on a curve if the length of the subnormal is $$(x-1)$$ and the curve passes through $$(1,2)$$, then the curve is a conic. A vertex of the curve is

A
$$(1,0)$$
B
$$(0,1)$$
C
$$(\sqrt{5}, 0)$$
D
$$(0, \sqrt{5})$$
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