#### Statement-1 : The point (1,0,7) is the mirror image of the point (1,6,3) in the line Statement-2 : The line : bisects  the line segment joining (1,0,7) and (1,6,3). Option 1) Statement-1 is true, Statement-2 is false. Option 2) Statement-1 is false, Statement-2 is true. Option 3) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. Option 4) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

As we learnt in

Image of a point -

Let be the image of point in the plane

will be given by the formula

-

Image of B(1,6,3)is A(1,0,7)

But it is not necessary that a plane will always bisect the line AB. So,it is not the correct explanation of statement 1.

Option 1)

Statement-1 is true, Statement-2 is false.

Incorrect option

Option 2)

Statement-1 is false, Statement-2 is true.

Incorrect option

Option 3)

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

Incorrect option

Option 4)

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

Correct option