Grade 12th PassAlgebra
how to solve binomial terem questions?
| The greatest term of the expansion (2x + 5y)13 where x = 10, y = 2 is | ||
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| None | ||
The binomial expansion of  n  N contain a term independent of x : |
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| only if k is an integers | ||
| only if k is a natural numbers. | ||
| only if k is rational | ||
| for any real k. | ||
| The coefficient of x50 in (1 + x)41 (1 - x + x2)40 is | ||
| 1 | ||
| 2 | ||
| 3 | ||
| 0 | ||
Given that the term of the expansion (x1/3 - x-1/2)15 which does not contain x is 5 m where m  N , then m = |
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| 1100 | ||||||
| 1010 | ||||||
| 1001 | ||||||
| none | ||||||
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| Q. 8 | In the binomial (21/3 + 3-1/3)n, if the ratio of the seventh term from the beginning of the expansion to the seventh term from its end is 1/6 , then n = | |||||
| 6 | ||||||
| 9 | ||||||
| 12 | ||||||
| 15 | ||||||
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| Q. 9 | The coefficient of x49 in the expansion of (x - 1)   ..... is equal to |
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- 2 |
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| + ve coefficient of x | ||||||
| - ve coefficient of x | ||||||
- 2 |
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| Q. 10 | The last digit of (3P + 2) is : where P = 34n and n N |
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| 1 | ||||||
| 2 | ||||||
| 4 | ||||||
| 5 | ||||||
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| Q. 11 | The sum of the binomial coefficients of  is equal to 256 . The constant term in the expansion is |
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| 1120 | ||||||
| 2110 | ||||||
| 1210 | ||||||
| none | ||||||
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| Q. 12 | The coefficient of x4 in  is : |
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| Q. 13 | If (1 + x + x2)25 = a0 + a1x + a2x2 + ..... + a50 . x50 then a0 + a2 + a4 + ..... + a50 is : | |||||
| even | ||||||
| odd & of the form 3n | ||||||
| odd & of the form (3n - 1) | ||||||
| odd & of the form (3n + 1) | ||||||
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| Q. 14 | If the second term of the expansion  is 14a5/2 then the value of  is : |
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| 4 | ||||||
| 3 | ||||||
| 12 | ||||||
| 6 | ||||||
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| Q. 15 | If (1 + x) (1 + x + x2) (1 + x + x2 + x3) ...... (1 + x + x2 + x3 + ...... + xn)  a0 + a1x + a2x2 + a3x3 + ...... + amxm then  has the value equal to |
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| n! | ||||||
| (n + 1) ! | ||||||
| (n - 1)! | ||||||
| none | ||||||
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| Q. 16 | The value of 4 {nC1 + 4 . nC2 + 42 . nC3 + ...... + 4n - 1} is : | |||||
| 0 | ||||||
| 5n + 1 | ||||||
| 5n | ||||||
| 5n - 1 | ||||||
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| Q. 17 | In the expansion of (1 + x)43 if the co-efficients of the (2r + 1)th and the (r + 2)th terms are equal, the value of r is : | |||||
| 12 | ||||||
| 13 | ||||||
| 14 | ||||||
| 15 | ||||||
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| Q. 18 | The positive value of a so that the co-efficient of x5 is equal to that of x15 in the expansion of  is |
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| 1 | ||||||
2 |
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| Q. 19 | In the expansion of  , the term which does not contain x is : |
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| 10C0 | ||||||
| 10C7 | ||||||
| 10C4 | ||||||
| none | ||||||
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| Q. 20 | Co-efficient of  t in the expansion of, ( + p)m - 1 + ( + p)m - 2 ( + q) + ( + p)m - 3 ( + q)2 + ...... ( + q)m - 1 where  - q and p q is : |
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