1
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
2
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$${\sqrt {1 + {m^4}} }$$
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 equation of tangent to the curve at P?
A
y = mx + m
B
y = $$-$$ mx + 2m
C
y = m2x + 2m
D
y = m2x + m
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {{{x^3}} \over 3} - {{5{x^2}} \over 2} + 6x + 7$$ increases in the interval T and decreases in the interval S, then which one of the following is correct?
A
T = ($$-$$$$\infty$$, 2) $$\cup$$ (3, $$\infty$$) and S = (2, 3)
B
T = $$\phi$$ and S = ($$-$$ $$\infty$$, $$\infty$$)
C
T = ($$-$$ $$\infty$$, $$\infty$$) and S = $$\phi$$
D
T = (2, 3) and S = ($$-$$ $$\infty$$, 2) $$\cup$$ (3, $$\infty$$)
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