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

A coin is tossed until a head appears or until the coin has been tossed three times. Given that 'head' does not appear on the first toss, what is the probability that the coin is tossed thrice?

A
$$\frac{1}{2}$$
B
$$\frac{3}{8}$$
C
$$\frac{1}{8}$$
D
$$\frac{1}{4}$$
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The value of } \int \frac{d x}{\sqrt{2 x-x^2}} \text { is } $$

A
$$\sin ^{-1}(x-1)+C$$
B
$$\sin ^{-1}(2 x-1)+C$$
C
$$\sin ^{-1}(x+1)+C$$
D
$$-\sqrt{2 x-x^2}+C$$
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The equation of the circle which touches the $$x$$-axis, passes through the point $$(1,1)$$ and whose centre lies on the line $$x+y=3$$ in the first quadrant is

A
$$x^2+y^2+4 x+2 y+4=0$$
B
$$x^2+y^2-4 x-2 y+4=0$$
C
$$x^2+y^2+4 x-2 y+4=0$$
D
$$x^2+y^2-4 x+2 y+4=0$$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the matrix $A$ is such that $$A\left(\begin{array}{cc}-1 & 2 \\ 3 & 1\end{array}\right)=\left(\begin{array}{cc}-4 & 1 \\ 7 & 7\end{array}\right)$$ then $$A$$ is equal to

A
$$\left(\begin{array}{cc}1 & 1 \\ 2 & -3\end{array}\right)$$
B
$$\left(\begin{array}{cc}-1 & 1 \\ 2 & 3\end{array}\right)$$
C
$$\left(\begin{array}{cc}1 & 1 \\ -2 & 3\end{array}\right)$$
D
$$\left(\begin{array}{cc}1 & -1 \\ 2 & 3\end{array}\right)$$
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