1
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation whose roots are the values of the equation $$\left| {\matrix{ 1 & { - 3} & 1 \cr 1 & 6 & 4 \cr 1 & {3x} & {{x^2}} \cr } } \right| = 0$$ is

A
$$x^2+x+2=0$$
B
$$x^2+x-2=0$$
C
$$x^2+2 x+2=0$$
D
$$x^2-x-2=0$$
2
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let a and b be non-zero real numbers such that $$ab=5/2$$ and given $$A = \left[ {\matrix{ a & { - b} \cr b & a \cr } } \right]$$ and $$A{A^T} = 20I$$ ($$l$$ is unit matrix), then the equation whose roots are a and b is

A
$$x^2 \mp 10 x+5=0$$
B
$$2 x^2 \pm 10 x+5=0$$
C
$$x^2-5 x+\frac{5}{2}=0$$
D
$$x^2-25 x+\frac{5}{2}=0$$
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right], 10 B=\left[\begin{array}{ccc}4 & 2 & 2 \\ -5 & 0 & \alpha \\ 1 & -2 & 3\end{array}\right]$$ and $$B=A^{-1}$$, then the value of $$\alpha$$ is

A
2
B
0
C
5
D
4
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The rank of the matrix $$\left[\begin{array}{ccc}4 & 2 & (1-x) \\ 5 & k & 1 \\ 6 & 3 & (1+x)\end{array}\right]$$ is 1 , then,

A
$$k=\frac{5}{2}, x=\frac{1}{5}$$
B
$$k=\frac{5}{2}, x \neq \frac{1}{5}$$
C
$$k=\frac{1}{5}, x=\frac{5}{2}$$
D
$$k \neq \frac{5}{2}, x=\frac{1}{5}$$
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