Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 48

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

In the expansion of (1 + x)ⁿ the coefficient of p^th and (p + 1)^th terms are respectively p and q. Then p + q =

A
n + 3

B
n + 1

C
n + 2

D
n
Question 2
4 / -1

If the coefficients of x² and x³ in the expansion of (3 + ax)⁹ are the same, then the value of a is

A

B

C

D
Question 3
4 / -1

A

B

C
-7

D
7
Question 4
4 / -1

A

B

C

D
Question 5
4 / -1

If in the expansion of (1 + x)²¹ , the coefficients of x^r and x^r+1 be equal , then r is equal to

A
9

B
10

C
11

D
12
Question 6
4 / -1

A
3/2

B
5/4

C
5/2

D
None of these
Question 7
4 / -1

In the expansion of (1 + 3x + 2x²)⁶ the coefficient of x¹¹ is

A
144

B
288

C
216

D
576
Question 8
4 / -1

The interval in which x must lie so that the greatest term in the expansion of (1 + x)²ⁿ has the greatest coefficient , is

A

B

C

D
None of these
Question 9
4 / -1

A

B

C

D
Question 10
4 / -1

A
1

B
– 1

C
– 48

D
None of these