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 equation of tangent to the curve at P?
A
y = mx + m
B
y = $$-$$ mx + 2m
C
y = m2x + 2m
D
y = m2x + m
2
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, $$\infty$$)
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow :

consider the function

$$f(x) = 3{x^4} - 20{x^3} - 12{x^2} + 288x + 1$$
In which one of the following intervals is the function increasing?
A
($$-$$2, 3)
B
(3, 4)
C
($$-$$3, $$-$$2)
D
($$-$$4, $$-$$3)
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow :

consider the function

$$f(x) = 3{x^4} - 20{x^3} - 12{x^2} + 288x + 1$$
In which one of the following intervals is the function decreasing?
A
($$-$$2, 3)
B
(3, 4)
C
(4, 6)
D
(6, 9)
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