44
MCQ (Single Correct Answer)
The slope of tangent to the curve $x=t^2+3 t-8$ and $y=2 t^2-2 t-5$ at the point $(2,-1)$ is
A
$\frac{22}{7}$
B
$\frac{6}{7}$
C
$-\frac{6}{7}$
D
$-6$
45
MCQ (Single Correct Answer)
Two curves $x^3-3 x y^2+2=0$ and $3 x^2 y-y^3-2=0$ intersect at an angle of
A
$\frac{\pi}{4}$
B
$\frac{\pi}{3}$
C
$\frac{\pi}{2}$
D
$\frac{\pi}{6}$
46
MCQ (Single Correct Answer)
The interval on which the function $f(x)=2 x^3+9 x^2+12 x-1$ is decreasing is
A
$[-1, \infty)$
B
$[-2,-1]$
C
$(-\infty,-2]$
D
$[-1,1]$
47
MCQ (Single Correct Answer)
If $f: R \rightarrow R$ be defined by $f(x)=2 x+\cos x$, then $f$
A
has a minimum at $x=\pi$
B
has a maximum at $x=0$
C
is a decreasing function
D
is an increasing function
48
MCQ (Single Correct Answer)
If $y=x(x-3)^2$ decreases for the values of $x$ given by
A
$1< x<3$
B
$x<0$
C
$x>0$
D
$0< x<\frac{3}{2}$