Question

Assertion :The plane $5x+2z-8=0$ contains the line $2x-y+z-3=0$ and $3x+y+z=5$, and is perpendicular to $2x-y-5z-3=0$. Reason: The plane $3x+y+z=5$ meets the line $x-1=y+1=z-1$ at the point $(1,1,1)$.

• 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. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

The plane $5x+2z-8=0$ contains the line $2x-y+z-3=0$ and $3x+y+z=5$, and is perpendicular to $2x-y-5z-3=0$.

So Assertion is correct

The plane $3x+y+z=5$ meets the line $x-1=y+1=z-1$ at the point $(1,1,1)$.

Reason is incorrect

Thus Assertion is correct and Reason is incorrect