1
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
In the binomial expansion of $${\left( {a - b} \right)^n},\,n \ge 5,$$ the sum of the $${5^{th}}$$ and $${6^{th}}$$ terms is zero. Then $$a/b$$ equals
A
$$\left( {n - 5} \right)/6$$
B
$$\left( {n - 4} \right)/5$$
C
$$5/\left( {n - 4} \right)$$
D
$$6/\left( {n - 5} \right)$$
2
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $${T_n}$$ denote the number of triangles which can be formed using the vertices of a regular polygon of n sides. If $${T_{n + 1}} - {T_n} = 21$$, then n equals
A
5
B
7
C
6
D
4
3
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $$\alpha $$, $$\beta $$ be the roots of $${x^2} - x + p = 0$$ and $$\gamma ,\delta $$ be the roots of $${x^2} - 4x + q = 0.$$ If $$\alpha ,\beta ,\gamma ,\delta $$ are in G.P., then the integral values of $$p$$ and $$q$$ respectively, are
A
$$-2,-32$$
B
$$-2,3$$
C
$$-6,3$$
D
$$-6,-32$$
4
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
If the sum of the first $$2n$$ terms of the A.P.$$2,5,8,......,$$ is equal to the sum of the first $$n$$ terms of the A.P.$$57,59,61,.....,$$ then $$n$$ equals
A
10
B
12
C
11
D
13
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