1
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

A family has 3 children. The probability that all the three children are girls, given that at least one of them is a girl is

A
$\frac{7}{8}$
B
$\frac{1}{8}$
C
$\frac{1}{7}$
D
$\frac{2}{7}$
2
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle ABC , with usual notations. $\frac{2 \cos \mathrm{~A}}{\mathrm{a}}+\frac{\cos \mathrm{B}}{\mathrm{b}}+\frac{2 \cos \mathrm{C}}{\mathrm{c}}=\frac{\mathrm{a}}{\mathrm{bc}}+\frac{\mathrm{b}}{\mathrm{ca}}$. Then $\angle \mathrm{A}=$

A
$\frac{\pi}{4}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{2}$
D
$\frac{\pi}{3}$
3
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

A line passes through $\mathrm{P}(-4,1)$ and meets the co-ordinate axes at points A and B . If P divides the segment AB internally in the ratio $1: 2$, then the equation of the line is

A
$x-2 y+6=0$
B
$x+10 y-6=0$
C
$2 x+y+4=0$
D
$x-y+5=0$
4
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In 3-dimensional space, the equation $x^2-8 x+12=0$ represents ....
A
two straight lines
B
a pair of straight lines passing through the origin
C
2 planes parallel to YZ -plane
D
2 planes parallel to $X Z$-plane
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