Same chapter3 marksDifficulty: Medium
The midpoint of the segment joining A(2, k) and B(6, 8) is (4, 5). Find k.
Section and Distance Formula
3 marksDifficulty: Medium
Show that the points (1, 1), (4, 4) and (6, 6) are collinear using the distance formula.
Original Khojo Papers practice question — not from a past board paper.
Answer
They are collinear because the distance from (1,1) to (4,4) plus the distance from (4,4) to (6,6) equals the distance from (1,1) to (6,6).
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The three distances are 3√2, 2√2 and 5√2, and 3√2 + 2√2 = 5√2, so the middle point lies on the segment joining the other two.
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The midpoint of the segment joining (a, b) and (c, d) is:
Section and Distance Formula