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  • Please,please help me - Binomial theorem and its simple applications - JEE Main-2

The coefficients of x^{p}\; and\; x^{q} in the expansion of (1+x)^{p+q}  are

  • Option 1)

    equal

  • Option 2)

    equal with opposite signs

  • Option 3)

    reciprocals of each other

  • Option 4)

    none of these.

 

Answers (1)

best_answer

As we learnt in

Properties of Binomial Theorem -

If ^{n}c_{r}= ^{n}c_{s} then

r= s \, or \, r+s= n

-

 

 Coefficient of x^{p}=\ ^{p+q}C_{p}  and Coefficient of  x^{q}=\ ^{p+q}C_{q}

They are equal 

\because\ \;^{n}C_{r}=\ ^{n}C_{n-r}

Correct option is 1.

 


Option 1)

equal

This is the correct option.

Option 2)

equal with opposite signs

This is an incorrect option.

Option 3)

reciprocals of each other

This is an incorrect option.

Option 4)

none of these.

This is an incorrect option.

Posted by

divya.saini

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