KnowledgeBoat Logo
|

Mathematics

Assertion (A) : Points (-5, 1) and (4, 1) are invariant points under reflection in the L. The line L is a line parallel to x-axis at a distance of 1 unit in the positive direction whose equation is x = 1.

Reason (R) : A point P is called an invariant point with respect to a given line L, if its image in the line L is the point P itself.

  1. A is true, R is false.

  2. A is false, R is true.

  3. Both A and R are true.

  4. Both A and R are false.

Reflection

2 Likes

Answer

Points (-5, 1) and (4, 1) lie on line y = 1 and also this line is parallel to x-axis. The line x = 1 is parallel to y-axis.

∴ Assertion (A) is false.

We know that,

A point P is called an invariant point with respect to a given line L, if its image in the line L is the point P itself.

∴ Reason (R) is true.

Hence, Option 2 is the correct option.

Answered By

3 Likes


Related Questions