MCQ
The point which does not lie in the half - plane 2x + 3y -12 < 0 is:
  • A
    (2, 1)
  • B
    (1, 2)
  • C
    (-2, 3)
  • D
    (2, 3)

Answer

  1. (2, 3)

Solution:

By putting the value of point (2, 3) in 2x + 3y - 12, we get;

2(2) + 3(3) = -12

= 4 + 9 - 12

= 13 - 12

= 1 which is greater than 0.

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

$\int\limits^\frac{\pi}{2}_{-\frac{\pi}{2}}\sin|\text{x}|\text{dx}$ is equal to:
  1. 1
  2. 2
  3. -1
  4. -2
$\int_{\,0}^{\,1} {\,\sin \left( {2{{\tan }^{ - 1}}\sqrt {\frac{{1 + x}}{{1 - x}}} } \right)\,dx = } $
Let $f: R \rightarrow R$ be defined by $f(x)=x+|x|$. Then $f(x)$ is
The determinant $\begin{vmatrix}\text{b}^2-\text{ab}&\text{b}-\text{c}&\text{bc}-\text{ac}\\\text{ab}-\text{a}^2&\text{a}-\text{b}&\text{b}^2-\text{ab}\\\text{bc}-\text{ac}&\text{c}-\text{a}&\text{ab}-\text{a}^2\end{vmatrix}$ equals:
  1. abc(b - c)(c - a)(a - b)
  2. (b - c)(c - a)(a - b)
  3. (a + b + c)(b - c)(c - a)(a - b)
  4. None of these
If a matrix $A=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]$, then the matrix $A A^{\prime}$ (where $A^{\prime}$ is the transpose of $A$ ) is
If $f(x) = \sqrt {ax} + {{{a^2}} \over {\sqrt {ax} }},$ then $f'(a) = $
If $\vec a = 3\vec j + 4\vec k$ , $\vec b = 2\vec i + \vec k$ and $\vec c$ , $\vec d$ are respectively the component of $\vec a$ parallel & perpendicular to $\vec b$ ,then $\left[ {\left( {\vec a \times \vec c} \right) \times \left( {\vec c \times \vec d} \right)\,\left( {\vec c \times \vec d} \right) \times \left( {\vec d \times \vec a} \right)\left( {\vec d \times \vec a} \right) \times \left( {\vec a \times \vec c} \right)} \right]$ equals
The function $\text{f}:\Big[\frac{-1}{2},\frac{1}{2},\frac{1}{2}\Big]\rightarrow\ \Big[\frac{-\pi}{2},\frac{\pi}{2}\Big],$ defined by $\text{f(x)}=\sin^{-1}(3\text{x}-4\text{x}^3),$ is:
  1. Bijection.
  2. Injection but not a surjection.
  3. Surjection but not an injection.
  4. Neither an injection nor a surjection.
The solution of the differential equation $\frac{{dy}}{{dx}} + \frac{y}{x} = {x^2}$is
The differential equation of all straight lines passing through the origin is