Mathematics
Assertion (A): If the coordinates of the mid-points of the sides AB and AC of Δ ABC are D(3, 5) and E(-3, 5) respectively, then BC = 12 units.
Reason (R): The line joining the mid-points of two sides of a triangle is parallel to the third side and equal to half of it.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Related Questions
A(1, 4), B(4, 1) and C(x, 4) are the vertices of △ABC. If the centroid of the triangles is G(4, 3), then x is equal to
2
1
7
4
Assertion (A): The point (-5, 0) lies on the x-axis.
Reason (R): The y-coordinates of a point on x-axis is zero.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of the point C are (0, -3). If origin is the mid-point of the base BC, find the coordinates of the points A and B.