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.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
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.
Related Questions
Assertion (A) : Product of 5th term from beginning and 5th term from end of the G.P. : 3 - 6 + 12 - 24 + ….. -384 is -1152.
Reason (R) : In G.P. product of nth term from beginning and nth term from end is 1st term × last term.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.