1
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The coefficient of $${x^7}$$ in the expansion of $${\left( {1 - x - {x^2} + {x^3}} \right)^6}$$ is
A
$$-132$$
B
$$-144$$
C
$$132$$
D
$$144$$
2
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
A man saves ₹ 200 in each of the first three months of his service. In each of the subsequent months his saving increases by ₹ 40 more than the saving of immediately previous month. His total saving from the start of service will be ₹ 11040 after
A
19 months
B
20 months
C
21 months
D
18 months
3
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The lines $${L_1}:y - x = 0$$ and $${L_2}:2x + y = 0$$ intersect the line $${L_3}:y + 2 = 0$$ at $$P$$ and $$Q$$ respectively. The bisector of the acute angle between $${L_1}$$ and $${L_2}$$ intersects $${L_3}$$ at $$R$$.

Statement-1: The ratio $$PR$$ : $$RQ$$ equals $$2\sqrt 2 :\sqrt 5 $$
Statement-2: In any triangle, bisector of an angle divide the triangle into two similar triangles.

A
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
B
Statement-1 is true, Statement-2 is false.
C
Statement-1 is false, Statement-2 is true.
D
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
4
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The two circles x2 + y2 = ax, and x2 + y2 = c2 (c > 0) touch each other if :
A
| a | = c
B
a = 2c
C
| a | = 2c
D
2 | a | = c
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