1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $f(x)=k x^3-3 x^2-12 x+8$ is strictly decreasing for all $x \in R$, then
A
$k<-\frac{1}{4}$
B
$k>-\frac{1}{4}$
C
$k>\frac{1}{4}$
D
$k<\frac{1}{4}$
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The radius of a sphere is 7 cm . If an error of 0.08 sq cm is made in measuring it, then the approximate error (in cubic cm ) found in its volume is
A
0.28
B
0.32
C
0.96
D
0.098
3
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The curve $y=x^3-2 x^2+3 x-4$ intersects the horizontal line $y=-2$ at the point $P(h, k)$. If the tangent drawn to this curve at $P$ meets the $X$-axis at $\left(x_1, y_1\right)$, then $x_1=$
A
1
B
2
C
3
D
-3
4
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $f(x)=(2 x-1)(3 x+2)(4 x-3)$ is a real valued function defined on $\left[\frac{1}{2}, \frac{3}{4}\right]$, then the value(s) of $c$ as defined in the statement of Rolle's theorem
A
does not exist
B
$\frac{7 \pm \sqrt{247}}{36}$
C
$\frac{7-\sqrt{247}}{36}$
D
$\frac{7+\sqrt{247}}{36}$
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