Mathematics
Assertion (A): The reflection of the point A(-4, 2) in the origin is the point A'(4, 2).
Reason (R): The image of a point P(x, y) when reflected in the origin is P'(-x, -y).
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
Rule to find reflection of a point in origin :
Change the sign of abscissa i.e. x-coordinate and ordinate i.e. y-coordinate.
A(-4, 2) ⇒ A'(4, -2)
Assertion is false.
Reflection in the origin requires changing the sign of both the x-coordinate and the y-coordinate.
Thus,
P(x, y) ⇒ P'(-x, -y)
Reason is true.
A is false, R is true
Hence, option 2 is the correct option.
Related Questions
Which of the following points is invariant with respect to the line y = -2?
(2, 3)
(-3, 2)
(-2, 3)
(3, -2)
The coordinates of the point P(-3, 5) on reflecting on the x-axis are :
(3, 5)
(-3, -5)
(3, -5)
(-3, 5)
Assertion (A): The point (0, 7) is invariant under the reflection in y-axis.
Reason (R): The image of a point P(x, y) when reflected in the y-axis is P'(-x, y).
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Assertion (A): The point (6, 3) is invariant when reflected in the line x = 6.
Reason (R): A point M(a, y) is invariant on the line x = a.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.