1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information for the next three items that follow.

Three sides of a trapezium are each equal to 6 cm. Let $$\alpha \in \left( {0,{\pi \over 2}} \right)$$ be the angle between a pair of adjacent sides.
If the area of the trapezium is maximum, what is the length of the fourth side?
A
8 cm
B
9 cm
C
10 cm
D
12 cm
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information for the next three items that follow.

Three sides of a trapezium are each equal to 6 cm. Let $$\alpha \in \left( {0,{\pi \over 2}} \right)$$ be the angle between a pair of adjacent sides.
What is the maximum area of the trapezium?
A
$$36\sqrt 3 $$ cm2
B
$$30\sqrt 3 $$ cm2
C
$$27\sqrt 3 $$ cm2
D
$$24\sqrt 3 $$ cm2
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the three items that follow:

A curve y = memx where m > 0 intersects Y-axis at a point P.
What is the slope of the curve at the point of intersection P?
A
m
B
m2
C
2m
D
2m2
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the three items that follow:

A curve y = memx where m > 0 intersects Y-axis at a point P.
How much angle does the tangent at P make with y-axis?
A
tan$$-$$1 m2
B
cot$$-$$1 (1 + m2)
C
sin$$-$$1$$\left( {{1 \over {\sqrt {1 + {m^4}} }}} \right)$$
D
sec$$-$$1$${\sqrt {1 + {m^4}} }$$
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