Question

Match the following columns .

Column I		Column II
(A)	The equation of line parallel to $x$-axis	(p)	$y=mx$
(B)	The equation of line parallel to $y$-axis	(q)	$\frac{5}{2}$
(C)	The equation of line through the origin is	(r)	$x=k$
(D)	If the point $\left(2,3\right)$ lies on the graph of the equation $3y=ax+4$ then $a=$	(s)	$y=k$

Choose the correct options :

• A. $\left(A\right)\to s;\left(B\right)\to p;\left(C\right)\to p;\left(D\right)\to q$
• B. $\left(A\right)\to s;\left(B\right)\to r;\left(C\right)\to p;\left(D\right)\to q$
• C. $\left(A\right)\to p;\left(B\right)\to r;\left(C\right)\to s;\left(D\right)\to q$
• D. $\left(A\right)\to q;\left(B\right)\to s;\left(C\right)\to r;\left(D\right)\to p$

Answer 1

The correct option is B

$\left(A\right)\to s;\left(B\right)\to r;\left(C\right)\to p;\left(D\right)\to q$

Explanation for (A)

The equation of line parallel to $x$-axis

The equation of any line parallel to $x$-axis is always of the form $y=k$.

Therefore, the correct match for option (A)$\to$(s)

Explanation for (B)

The equation of line parallel to $y$-axis

The equation of any line parallel to $y$-axis is always of the form $x=k$.

Therefore, the correct match for option (B)$\to$(r).

Explanation for (C)

The equation of line through the origin is

The equation of any line through the origin is always of the form $y=mx$ as for $\left(0,0\right)$ satisfies the equation $y=mx$.

Therefore, the correct match for option (C)$\to$(p)

Explanation for (D)

If the point $\left(2,3\right)$ lies on the graph of the equation $3y=ax+4$ then $a=$

Substituting $\left(2,3\right)$ coordinates in the equation

$$\begin{gathered} \Rightarrow 3\left(3\right)=a\left(2\right)+4 \\ \Rightarrow 2a=9-4 \\ =5 \\ \Rightarrow a=\frac{5}{2} \end{gathered}$$

Therefore, the correct match for option (D)$\to$(q).

Thus we conclude the correct match for the given equations are $\left(a\right)\to \left(s\right);\left(b\right)\to \left(r\right);\left(c\right)\to \left(p\right);\left(d\right)\to \left(q\right)$

Hence, correct answer is option B.