Question

Match the following:

$\begin{array}{cccc}& Point& & Invariantwithrespecttoline\\ a.& (-3,2)& \left(i\right)& y=4\\ b.& (2,-3)& \left(ii\right)& x=4\\ c.& (-1,4)& \left(iii\right)& y=2\\ d.& (4,-1)& \left(iv\right)& x=2\end{array}$

• A. a(iii), b(iv), c(i), d(ii)
• B. a(ii), b(i), c(iii), d(iv)
• C. a(iii), b(ii), c(i), d(iv)
• D. a(i), b(iii), c(ii), d(iv)

Answer 1

The correct option is A

a(iii), b(iv), c(i), d(ii)

A point is said to be an invariant point if it does not change under reflection. Hence points lying on a line are invariant when reflected in the same line.

The point (-3, 2) is invariant with respect to the line y = 2

The point (2, -3) is invariant with respect to the line x = 2

The point (-1, 4) is invariant with respect to the line y = 4

The point (4, -1) is invariant with respect to the line x = 4

Hence a(iii), b(iv), c(i), d(ii) is the right option.