Download App

Model Paper 2 — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsModel Paper 21 Mark
MCQ
Which of the following is a convex set?
  • A
    $\left\{(x, y): y^2 \geq x\right\}$
  • B
    $\left\{(x, y): x^2+y^2 \geq 1\right\}$
  • ✓
    $\{(x, y): x \geq 2, y \leq 4\}$
  • D
    $\left.\{x, y): 3 x^2+4 y^2 \geq 5\right\}$
✓

Answer

Correct option: C.
$\{(x, y): x \geq 2, y \leq 4\}$
(c) $\{(x, y): x \geq 2, y \leq 4\}$
Explanation: $\{(x, y): x \geq 2, y \leq 4\}$is the region between two parallel lines, so any line segment joining any two points in it lies in it. Hence, it is a convex set.

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

Explore more

More "M.C.Q (1 Marks)" from Model Paper 2→Model Paper 2 — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Corner points of the feasible region determined by the system of linear constraints are $(0,3),(1,1)$ and $(3,0)$. Let $Z=p x+q y$, where $p, q>0$. Condition on $p$ and $q$ so that the minimum of $Z$ occurs at $(3,0)$ and $(1,1)$ is
→
The number of solution of the equation $ 1+\text{x}^{2}+2\text{x}\:\sin \left ( \cos^{-1}\text{y} \right )= 0$ is:
→
If $\Delta = \left| {\,\begin{array}{*{20}{c}}a&b&c\\x&y&z\\p&q&r\end{array}\,} \right|$, then $\left| {\,\begin{array}{*{20}{c}}{ka}&{kb}&{kc}\\{kx}&{ky}&{kz}\\{kp}&{kq}&{kr}\end{array}\,} \right|$=
→
A stone, thrown vertically upward from the surface of the moon at a velocity of $24\,m/sec$ reaches a height of $s = 24$ $t - 0.8{t^2}$ metre after $t$ second. The acceleration due to gravity in $m/{\sec ^2}$ at the surface of the moon is
→
$R$ is a relation from $\{11, 12, 13\}$ to $\{8, 10, 12\}$ defined by $y = x - 3.$ Then, $R^{-1}$ is:
→
If $\int\frac{\sin^8\text{x}-\cos^8\text{x}}{1-2\sin^2\text{x}\cos^2\text{x}}\text{ dx}=\text{a}\sin2\text{x}+\text{C},$ then $a =$
→
$\text{f}(\text{x})=\sin +\sqrt{3}\cos\text{x}$ is maximum when $x =$
→
The value of the integral $\int\limits_{ - 2}^2 {\frac{{{{\sin }^2}\,x}}{{\left[ {\frac{x}{\pi }} \right] + \frac{1}{2}}}\,\,dx} $ (where $[x]$ denotes the greatest integer less than or equal to $x$ ) is
→
Let $f:[-1,2] \rightarrow \mathrm{R}$ be given by $f(x)=2 x^2+x+\left[x^2\right]-[x]$, where $[t]$ denotes the greatest integer less than or equal to $t$. The number of points, where $f$ is not continuous, is :
→
A sphere of radius 100mm shrinks troximate decreo radius 98mm, then the appase in its volume is:
→