MCQ
Equation of angle bisectors between $x$ and $y$ -axes are
  • $y = \pm x$
  • B
    $y = \pm 2x$
  • C
    $y = \pm \frac{1}{{\sqrt 2 }}x$
  • D
    $y = \pm 3x$

Answer

Correct option: A.
$y = \pm x$
a
(a) Equations of angle bisectors between x and y-axis are $x + y = 0$ and $x - y = 0$,$(\because \theta  = {45^o}$ or ${135^o})$

or $y = \pm x$.

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

The first derivative of the function $\left[ {{{\cos }^{ - 1}}\left( {\sin \sqrt {{{1 + x} \over 2}} } \right) + {x^x}} \right]$ with respect to $x$ at  $x = 1$  is
The average weight of students in a class of $35$ students is $40\ kg$. If the weight of the teacher be included, the average rises by $\frac{1}{2}$ $kg$; the weight of the teacher is.....$kg$
The centre of circle inscribed in square formed by the lines ${x^2} - 8x + 12 = 0$ and ${y^2} - 14y + 45 = 0$, is
Number of common tangents of the ellipse  $\frac{{{{\left( {x - 2} \right)}^2}}}{9} + \frac{{{{\left( {y + 2} \right)}^2}}}{4} = 1$ and the circle $x^2 + y^2 -4x + 2y + 4 = 0$ is 
The positive integer value of $n>3$ satisfying the equation $\frac{1}{\sin \left(\frac{\pi}{n}\right)}=\frac{1}{\sin \left(\frac{2 \pi}{n}\right)}+\frac{1}{\sin \left(\frac{3 \pi}{n}\right)}$ is
$r \times a = b \times a;\,\,r \times b = a \times b;\,\,a \ne 0;\,\,b \ne 0;\,\,a \ne \lambda b,\,\,$ $a $ is not perpendicular to $ b,$  then $r = $
Consider a function $f:R \to R$ 

$f\left( {x + a} \right) = \frac{1}{2} + \sqrt {f\left( x \right) - {f^2}\left( x \right)}$  a is a real constant, then $f(x)$ must be

The probability, that in a randomly selected $3-$digit number at least two digits are odd, is
The corner points of the bounded feasible region are $(0,0),(2,0),(4,2),(2,4)$ and $\left(0, \frac{10}{3}\right)$

Then for the objective function $z=-x+2 y$

$(i)$ Maximum value of $z$ has at $\ldots \ldots \ldots . . .$

$(ii)$ Minimum value of $z$ has at $\ldots \ldots \ldots . . .$

$(iii)$ The maximum value of $z$ is $\ldots \ldots \ldots . . .$

$(iv)$ The minimum value of $z$ is $\ldots \ldots \ldots . . .$

$\int_{}^{} {{{\sec }^4}x\tan x\;dx = } $