1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Consider the binomial expansion of (p + qx)9 :

Under what condition the coefficients of x2 and x4 are equal ?

A
p ∶ q = 7 ∶ 2
B
p2 ∶ q2 = 7 ∶ 2
C
p ∶ q = 2 ∶ 7
D
p2 ∶ q2 = 2 ∶ 7
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
How many terms are there in the expansion of $\left(1 + \frac{2}{x}\right)^9\left(1-\frac{2}{x}\right)^9 ? $
A
9
B
10
C
19
D
20
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements in respect of the expansion of (x + y)10

1. Among all the coefficients of the terms, the coefficient of the 6th term has the highest value

2. The coefficient of the 3rd term is equal to coefficient of the 9th term

Which of the above statements is /are correct ?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the value of

C(51, 21) - C(51, 22) + C(51, 23) - C(51, 24) + C(51, 25) - C(51, 26) + C(51, 27) - C(51, 28) + C(51, 29) - C(51, 30) ?

A
C(51, 25)
B
C(51, 27)
C
C(51, 51) - C(51, 0)
D
C(51, 25) - C(51, 27)
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