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This question has Statement $-1$ and Statement $-2$. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement-1 : The point $A(1,0,7)$ is the mirror image of the point $B(1,6,3)$ in the line $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$.
Statement-2 : The line: $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ bisects the line segment joining $A(1,0,7)$ and $B(1,6,3)$.
Options:
Statement-1 : The point $A(1,0,7)$ is the mirror image of the point $B(1,6,3)$ in the line $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$.
Statement-2 : The line: $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ bisects the line segment joining $A(1,0,7)$ and $B(1,6,3)$.
Solution:
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Verified Answer
The correct answer is:
Statement $-1$ is true, Statement-2 is true; Statement $-2$ is not a correct explanation for Statement $-1$
Statement $-1$ is true, Statement-2 is true; Statement $-2$ is not a correct explanation for Statement $-1$
Statement $-1: A B$ is perpendicular to given line and mid point of $A B$ lies on line Statement $-2$ is true but it is not correct explanation as it is bisector only. If it is perpendicular bisector then only statement $-2$ is correct explanation.
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