1
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the distance between the parallel lines given by the equation $$x^2+4 x y+p y^2+3 x+q y-4=0$$ is $$\lambda$$, then $$\lambda^2=$$

A
5
B
$$\sqrt{5}$$
C
25
D
$$\frac{9}{5}$$
2
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The particular solution of the differential equation $$\left(1+y^2\right) \mathrm{d} x-x y \mathrm{~d} y=0$$ at $$x=1, y=0$$, represents

A
circle
B
pair of straight lines
C
hyperbola
D
ellipse
3
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If at the end of certain meeting, everyone had shaken hands with everyone else, it was found that 45 handshakes were exchanged, then the number of members present at the meeting, are

A
10
B
15
C
20
D
21
4
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\sin 18^{\circ}=\frac{\sqrt{5}-1}{4}$$, then $$\cos ^2 48^{\circ}-\sin ^2 12^{\circ}$$ has the value

A
$$\frac{-\sqrt{5}+1}{8}$$
B
$$\frac{\sqrt{5}-1}{8}$$
C
$$\frac{\sqrt{5}+1}{8}$$
D
$$\frac{-1-\sqrt{5}}{8}$$
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