Question

Assertion :$3x+4y+5=0$ and $6x+ky+9=0$ represent parallel lines if $k=8$ Reason: $a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$ represent parallel lines if $\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$
Which is the correct answer

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Here, Reason is true.
In Assertion, given lines represent parallel lines if
$\frac{3}{6}=\frac{4}{k}\ne \frac{5}{9}$
$\Rightarrow k=\frac{6\times 4}{3}=8$ $\therefore$ assertion is also true
Since reason is the correct explanation for assertion, option (A) is correct.