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

In the expansion $$\left(\frac{1}{x}+x \sin x\right)^{10}, \quad$$ the co - efficient of $$6^{\text {th }}$$ term is equal to $$7 \frac{7}{8}$$, then the principal value of $$x$$ is

A
$$45^{\circ}$$
B
$$60^{\circ}$$
C
$$25^{\circ}$$
D
$$30^{\circ}$$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

If the sum of the coefficients of the first three terms in the expansion of $$\left(x-\frac{a}{x^2}\right)^{12}, x \neq 0$$ is 559. Find the value of '$$a$$' if '$$a$$' belongs to positive integers

A
5
B
4
C
$$\frac{31}{11}$$
D
3
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The coefficient of the third term in the expansion of $$\left(x^2-\frac{1}{4}\right)^n$$, when expanded in the descending power of $$x$$ is 31, then $$n$$ is

A
31
B
16
C
30
D
32
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Using mathematical induction, the numbers $$a_n \delta$$ are defined by $$a_0=1, a_{n+1}=3 n^2+n+a_n, (n \geq 0)$$. Then, $$a_n$$ is equal to

A
$$n^3+n^2+1$$
B
$$n^3-n^2+1$$
C
$$n^3-n^2$$
D
$$n^3+n^2$$
COMEDK Subjects
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