Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 46

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D
None of the above
Question 2
4 / -1

A
1/3

B
-1/3

C
2/3

D
3/2
Question 3
4 / -1

A
7

B
8

C
9

D
10
Question 4
4 / -1

A
9

B
10

C
8

D
6
Question 5
4 / -1

The first 3 terms in the expansion of (1+ ax)ⁿ (n ≠ 0) are 1,6x and 16x² . Then , the value of a and n are respectively.

A
2 and 9

B
3 and 2

C
2/3 and 9

D
3/2 and 6
Question 6
4 / -1

A

B

C

D
Question 7
4 / -1

If A and B are the coefficients of xⁿ in the expansions of (1 + x)²ⁿ and (1 + x)^2n-1 respectively, then

A
A = B

B
A = 2B

C
2A = B

D
None of the above
Question 8
4 / -1

If p and q be positive, then the coefficients of x^p and x^q in the expansion of (1 + x)^p+q will be

A
Equal

B
Equal in magnitude but opposite in sign

C
Reciprocal to each other

D
None of these
Question 9
4 / -1

A

B

C

D
None of these
Question 10
4 / -1

The coefficient of t²⁴ in the expansion of (1 + t²)¹² (1 + t¹²) (1 + t²⁴) is

A
¹²C₆ + 2

B
¹²C₅

C
¹²C₆

D
¹²C₇