Mathematics
Assertion (A) : If (3a, 4) is the mid-point of the line segment joining points (-6, 5) and (-2, 3); then a = -4.
Reason (R) : The mid-point of the line segment joining the points (x1, y1) and (x2, y2) is .
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Section Formula
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Answer
By mid-point formula,
Mid-point (M) = .
Given,
(3a, 4) is the mid-point of the line segment joining points (-6, 5) and (-2, 3).
∴ Assertion (A) is false and Reason (R) is true.
Hence, Option 2 is the correct option.
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