1
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

The points on the ellipse $$16 x^2+9 y^2=400$$ at which the ordinate decreases at the same rate at which the abscissa increases are

A
$$ \left(3, \frac{16}{3}\right) \text { and }\left(-3,-\frac{16}{3}\right) $$
B
$$ \left(-3,-\frac{16}{3}\right) \text { and }\left(-3, \frac{16}{3}\right) $$
C
$$ \left(-3, \frac{16}{3}\right) \text { and }\left(3,-\frac{16}{3}\right) $$
D
$$ \left(3, \frac{16}{3}\right) \text { and }\left(-3, \frac{16}{3}\right) $$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } a \mathcal{N}=\{a x: x \in \mathcal{N}\} \text {, then } 3 \mathcal{N} \cap 7 \mathcal{N} \text { is } $$

A
$$ 10 \mathcal{N} $$
B
$$ 21 \mathcal{N} $$
C
$$ 4 \mathcal{N} $$
D
$$ 3 \mathcal{N} $$
3
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{f^{\prime}(x)}{f(x) \log (f(x))} d x \text { is equal to } $$

A
$$ f(x) \log f(x)+C $$
B
$$ \frac{1}{\log (\log f(x))}+C $$
C
$$ \frac{f(x)}{\log f(x)}+C $$
D
$$ \log (\log f(x))+C $$
4
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The maximum value of } Z=3 x+4 y \text { for the given constraints } x+2 y \leq 76,2 x+y \leq 104, x \geq 0, y \geq 0 \text { is } $$

A
196
B
224
C
162
D
0
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