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 $B(1,6,3)$.

• Correct answer
  A

  Statement $-1$ is true, Statement-2 is true; Statement $-2$ is not a correct explanation for Statement $-1$
• B

  Statement $-1$ is true, Statement $-2$ is false.
• C

  Statement $-1$ is false, Statement $-2$ is true.
• D

  Statement $-1$ is true, Statement $-2$ is true; Statement $-2$ is a correct explanation for Statement $-1$

Solution

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.

Hence, the correct answer is option: 'A'.