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1

IIT-JEE 1983

Fill in the Blanks
If $${\left( {1 + ax} \right)^n} = 1 + 8x + 24{x^2} + .....$$ then $$a=..........$$ and $$n =............$$

Answer

$$a = 2,\,n = 4$$
2

IIT-JEE 1982

Fill in the Blanks
The sum of the coefficients of the plynomial $${\left( {1 + x - 3{x^2}} \right)^{2163}}$$ is ...............

Answer

$$ - 1$$
3

IIT-JEE 1982

Fill in the Blanks
The larger of $${99^{50}} + {100^{50}}$$ and $${101^{50}}$$ is ..............

Answer

$${\left( {101} \right)^{50}}$$

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