JEE 2020 Mathematics : Binomial Theorem

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Question 1

The coefficient of x⁵ in the expansion of (1 + x²)⁵ (1 + x)⁴ is

• A30
• B60
• C40
• DNone of these

Question 2

The term independent of x in  is

• A
• B
• C
• DNone of these

Question 3

The number of integral terms in the expansion of is

• A128
• B129
• C130
• D131

Question 4

The co-efficient of x⁴ in the expansion of (1- x + 2x²)¹² is

• A¹²C₃
• B¹³C₃
• C¹⁴C₃
• D¹²C₃ + 3 ¹³C₃ + ¹⁴C₄

Question 5

If the coefficient of x⁷ in  is equal to the coefficient of x ^–7 in , then ab =

• A1
• B1/2
• C2
• D3

Question 6

The coefficient of x^r in the expression (x + 2)^n-1 + (x + 2)^n-2 . (x + 1) + (x + 2)^n-3. (x + 1)² + .............+ (x + 1)^n-1 is

• AⁿC_r (2^r – 1)
• BⁿC_r (2^n-r -1)
• CⁿC_r (2^r +1)
• DⁿC_r (2^n-r +1)

Question 7

The sum C(r,r)+ C(r+1,r)+ C(r+2,r)……. C(n,r) (n) equals

• AC(n,r)
• BC(n+1,r+1)
• CC(n+1,r-1)
• DC(n+1,r)

Question 8

Find the solution of the given series C(100,0) + C(100,1)3/2 + C(100,2)9/3………………… upto 101 terms

• A
• B
• C
• D

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