1
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the function $f(x)=\frac{x}{5}+\frac{5}{x},(x \neq 0)$ attains its relative maximum value at $x=\alpha$, then $\sqrt{\alpha^2+2 \alpha-6}=$
A
10
B
6
C
5
D
3
2
TS EAMCET 2022 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

The equation of the tangent to the curve $x^2+y-7=4 x$ at the point $(1,10)$ is

A

$y=2 x+8$

B

$y=x+8$

C

$y=-2 x-14$

D

$y=x-4$

3
TS EAMCET 2022 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\theta$ is the angle between the curves $x^2-y^2=4$ and $y^2=3 x$, then $\tan \theta=$

A

$\frac{5}{3 \sqrt{3}}$

B

$\frac{5}{6 \sqrt{3}}$

C

$\frac{5}{18}$

D

$\frac{5}{6}$

4
TS EAMCET 2022 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

The absolute maximum value of the function $f(x)=2 x^3-3 x^2-36 x+9$ defined on $[-3,3]$ is

A

36

B

53

C

63

D

72

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