MCQ
The curve $y-x:$
  • A
    A vertical tangent $($parallel to $y-$axis$)$
  • A horizontal tangent $($parallel to $x-$axis$)$
  • C
    An oblique tangent
  • D
    No tangent

Answer

Correct option: B.
A horizontal tangent $($parallel to $x-$axis$)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

$\int {{e^{\sin x}}\left( {\sin x + {{\sec }^2}x} \right)} \,dx$ is equal to
The foot of perpendicular of the point $(2,0,5)$ on the line $\frac{x+1}{2}=\frac{y-1}{5}=\frac{z+1}{-1}$ is $(\alpha, \beta, \gamma)$. Then. Which of the following is $NOT$ correct?
Solution of the differential equation
$\left( {{e^{{x^2}}} + {e^{{y^2}}}} \right)\,y\,\frac{{dy}}{{dx}} + {e^{{x^2}}}(x{y^2} - x)= 0,$ is
If the system of equations

$ x+(\sqrt{2} \sin \alpha) y+(\sqrt{2} \cos \alpha) z=0 $

$ x+(\cos \alpha) y+(\sin \alpha) z=0 $

$ x+(\sin \alpha) y-(\cos \alpha) z=0$

has a non-trivial solution, then $\alpha \in\left(0, \frac{\pi}{2}\right)$ is equal to :

The value of a for which the system of equations ${a^3}x + {(a + 1)^3}y + {(a + 2)^3}z = 0,$ $ax + (a + 1)y + (a + 2)z = 0,$ $x + y + z = 0,$ has a non zero solution is
The direction ratios of the normal to the plane $7x + 4y - 2z + 5 = 0$ are:
Two distinct numbers $a$ and $b$ are chosen randomly from the set {$2, 2^2, 2^3, ........ 22^5$}. What is the probability the $log(ab)$ is an integer ?
If $\text{f(x)}=\begin{cases}\frac{1-\sin^2\text{x}}{3\cos^2\text{x}},&\text{if}\text{ x}<\frac{\pi}{2}\\\text{a},&\text{if}\text{ x}=\frac{\pi}{2}\\\frac{\text{b}(1-\sin\text{x})}{(\pi-2\text{x})^2},&\text{if}\text{ x }>\frac{\pi}{2}\end{cases}$ Then f(x) is continuous at $\text{x}=\frac{\pi}{2},$ if:
If $a \times b = b \times c \ne 0,$ where $a, b$  and $ c$  are coplanar vectors, then for some scalar $ k$
The distance moved by the particle in time $t$ is given by $x = t^3- 12t^2 + 6t + 8$. At the instant when its acceleration is zero, the velocity is :