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

The sum of first three terms of a geometric progression is 16 and the sum of next three terms is 128 . The sum to $$\mathrm{n}$$ terms of the geometric progression is

A
$$ \frac{8}{3}\left(3^n-1\right) $$
B
$$ \frac{16}{7}\left(2^n-1\right) $$
C
$$ \frac{16}{7}\left(3^n-1\right) $$
D
$$ \frac{8}{3}\left(2^n-1\right) $$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The general solution of the differential equation } \frac{d y}{d x}=\frac{x y}{x^2+y^2} \text { is } $$

A
$$ y=c e^{\left(\frac{x^2}{2 y^2}\right)} $$
B
$$ y=c e^{\left(\frac{x^2}{3 y^2}\right)} $$
C
$$ y=c e^{\left(-\frac{x^2}{2 y^2}\right)} $$
D
$$ y=c e^{\left(\frac{x^2}{y^2}\right)} $$
3
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
$$ \left(3, \frac{16}{3}\right) \text { and }\left(-3, \frac{16}{3}\right) $$
4
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
$$ 3 \mathcal{N} $$
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