Maths / Linear Equations in Two Variables / Relationship of Coefficients with Number of Solutions

QUESTION
 

Assertion : 3x+4y+5=0 and  6x+ky+9=0  represent parallel lines if k=8

Reason : a_1x+b_1y+c_1=0: : and : : a_2x+b_2y+c_2=0  represent parallel lines if  frac {a_1}{a_2}=frac {b_1}{b_2}neq frac {c_1}{c_2}

OPTIONS
A. 

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

B. 

If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

C. 

If Assertion is correct but Reason is incorrect.

D. 

If Assertion is incorrect but Reason is correct.

Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

Reason is true.

In Assertion, given lines represent parallel lines if

frac {3}{6}=frac {4}{k}neq frac {5}{9}

Rightarrow : : : : : k=frac {6times 4}{3}=8: therefore  Reason is also true

Also, reason is the correct explanation for assertion.

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