1
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

Let $$A$$ and $$B$$ be two independent events such that the odds in favour of $$A$$ and $$B$$ are $$1: 1$$ and $$3: 2$$, respectively. Then, the probability that only one of the two occurs is

A
0.6
B
0.8
C
0.5
D
0.4
2
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

The plane is perpendicular to the planes $$x-y+2 z-4=0$$ and $$2 x-2 y+z=0$$ and passes through $$(1,-2,1)$$ is

A
$$x+y+1=0$$
B
$$2 x+y+z-1=0$$
C
$$x+y+z=0$$
D
$$x+z-2=0$$
3
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

If $$\theta_1, \theta_2$$ and $$\theta_3$$ are the angles made by a line with the positive direction of $$X, Y$$ and $$Z$$-axes, then $$\cos 2 \theta_1+\cos 2 \theta_2+\cos 2 \theta_3$$ is equal to

A
$$-$$1
B
1
C
2
D
$$-$$2
4
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

Suppose, $$A=\left[\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right]$$ is an adjoint of the matrix $$\left[\begin{array}{rrr}1 & 3 & -3 \\ 1 & 4 & 3 \\ 1 & 3 & 4\end{array}\right]$$. The value of $$\frac{a_1+b_2+c_3}{b_1 a_2}$$ is

A
3
B
0
C
5
D
4
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12