MCQ
Line passing through $(1, 2)$ and $(2, 5)$ is
  • A
    $3x - y + 1 = 0$
  • B
    $3x + y + 1 = 0$
  • $y - 3x + 1 = 0$
  • D
    $3x + y - 1 = 0$

Answer

Correct option: C.
$y - 3x + 1 = 0$
c
(c) Required equation is $y - 2 = \frac{{5 - 2}}{{2 - 1}}(x - 1) \Rightarrow y - 3x + 1 = 0$.

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

Let $a, b$ and $c$ be the $7^{th},\,11^{th}$ and $13^{th}$ terms respectively of a non -constant $A.P.$ If these are also the three consecutive terms of a $G.P.$ then $\frac {a}{c}$ is equal to
If $f\left( x \right) = x{e^{x\left( {1 - x} \right)}},\,x \in R$ , then $f(x)$ is
Let $PQR$ be a right angled isosceles triangle, right angled at $P\, (2, 1)$. If the equation of the line $QR$ is $2x + y = 3$, then the equation representing the pair of lines $PQ$ and $PR$ is
Let $ \vec{a}=3 \hat{i}+\hat{j}-2 \hat{k}, \vec{b}=4 \hat{i}+\hat{j}+7 \hat{k} \quad$ and $\overrightarrow{ c }=\hat{ i }-3 \hat{ j }+4 \hat{ k }$ be three vectors. If a vectors $\overrightarrow{ p }$ satisfies $\overrightarrow{ p } \times \overrightarrow{ b }=\overrightarrow{ c } \times \overrightarrow{ b }$ and $\overrightarrow{ p } \cdot \overrightarrow{ a }=0$, then $\overrightarrow{ p } \cdot(\hat{ i }-\hat{ j }-\hat{ k })$ is equal to
A contractors has two teams of workers, team $A$ and team B. Team $A$ can complete a project $P$ in $12$ days and team $B$ can complete $P$ in $36$ days. Team $A$ starts working on $P$ and team $B$ joins team $A$ after four days. Team $A$ is withdrawn after another two days and team $B$ is asked to double its efficiency. The number of additional days required for team $B$ to complete $P$ is
The area of the region $\left\{(x, y): x^{2}+4 x+2 \leq y \leq|x+2|\right\}$ is equal to
In the Argand plane, the vector $z = 4 - 3i$ is turned in the clockwise sense through ${180^o}$and stretched three times. The complex number represented by the new vector is
If $y = x{\rm{ }}\left[ {\left( {\cos {x \over 2} + \sin {x \over 2}} \right){\rm{ }}\left( {\cos {x \over 2} - \sin {x \over 2}} \right) + \sin x} \right] + {1 \over {2\sqrt x }}$, then ${{dy} \over {dx}} = $
Define a relation R on the interval $\left[0, \frac{\pi}{2}\right)$ by $\mathrm{x} \mathrm{R} y$ if and only if $\sec ^{2} x-\tan ^{2} y=1$. Then $R$ is :
In order that the function $f(x) = {(x + 1)^{\cot \,x}}$ is continuous at $x = 0 , f(0)$ must be defined as