1
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$2, 1$$ and $$1$$ are roots of the equation $$x^3-4 x^2+5 x-2=0$$, then the roots of $$\left(x+\frac{1}{3}\right)^3-4\left(x+\frac{1}{3}\right)^2+5\left(x+\frac{1}{3}\right)-2=0$$

A
$$\frac{7}{3}, \frac{4}{3}, \frac{4}{3}$$
B
$$\frac{5}{3}, \frac{2}{3}, \frac{2}{3}$$
C
$$\frac{-5}{3}, \frac{-2}{3}, \frac{-2}{3}$$
D
$$\frac{-7}{3}, \frac{-4}{3}, \frac{-4}{3}$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$f(x)=2x^3+mx^2-13x+n$$ and 2, 3 are the roots of the equation $$f(x)=0$$, then the values of m and n are

A
$$-5,-30$$
B
$$-5,30$$
C
5, 30
D
$$5,-30$$
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$\alpha$$ and $$\beta$$ are the roots of $$11 x^2+12 x-13=0$$, then $$\frac{1}{\alpha^2}+\frac{1}{\beta^2}$$ is equal to (approximately close to)

A
4.54
B
3.54
C
2.54
D
1.54
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The value of $$a$$ for which the equations $$x^3+a x+1=0$$ and $$x^4+a x^2+1=0$$ have a common root is

A
2
B
$$-$$2
C
0
D
1
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