1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the coefficients of $x^5$ and $x^6$ are equal in the expansion of $\left(a+\frac{x}{5}\right)^{65}$, then the coefficient of $x^2$ in the expansion of $\left(a+\frac{x}{5}\right)^4$ is.
A
1
B
$\frac{32}{25}$
C
2
D
$\frac{24}{25}$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $|x|<\frac{2}{3}$, then the 4th term in the expansion of $(3 x-2)^{\frac{2}{3}}$ is :
A
$\frac{\sqrt[3]{4}}{6} x^3$
B
$-\frac{\sqrt[3]{4}}{6} x^3$
C
$\frac{\sqrt[3]{4}}{8} x^3$
D
$-\frac{\sqrt[3]{4}}{8} x^3$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\frac{x^2+3}{x^4+2 x^2+9}=\frac{A x+B}{x^2+a x+b}+\frac{C x+D}{x^2+c x+b}$, then $a A+b B+c C+D=$
A
1
B
0
C
-1
D
2
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\sec \theta+\tan \theta=\frac{1}{3}$, then the quadrant in which $2 \theta$ lies is
A
1st quadrant
B
2nd quadrant
C
3rd quadrant
D
4th quadrant
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