1
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
$$r$$ and $$n$$ are positive integers $$\,r > 1,\,n > 2$$ and coefficient of $$\,{\left( {r + 2} \right)^{th}}$$ term and $$3{r^{th}}$$ term in the expansion of $${\left( {1 + x} \right)^{2n}}$$ are equal, then $$n$$ equals
A
$$3r$$
B
$$3r + 1$$
C
$$2r$$
D
$$2r + 1$$
2
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
The coefficients of $${x^p}$$ and $${x^q}$$ in the expansion of $${\left( {1 + x} \right)^{p + q}}$$ are
A
equal
B
equal with opposite signs
C
reciprocals of each other
D
none of these
3
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
The positive integer just greater than $${\left( {1 + 0.0001} \right)^{10000}}$$ is
A
4
B
5
C
2
D
3
4
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If the sum of the coefficients in the expansion of $$\,{\left( {a + b} \right)^n}$$ is 4096, then the greatest coefficient in the expansion is
A
1594
B
792
C
924
D
2924
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