Question

Assertion :The joint equation of lines $2y=x+1$ and $2y=(x+1)$ is $4y^2=(x+1{)}^2$. Reason: The joint equation of two lines satisfy every point lying on any one of the line.

• 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 D Assertion is incorrect but Reason is correct

Reason is true
Assertion is false as
Joint equation of $2y-(x+1)=0$ and $2y-(x+1)=0$ is
$(2y-(x+1))(2y-(x+1))=0\Rightarrow 4y^2-4y(x+1)+{(x+1)}^2=0$