Same chapter4 marksDifficulty: Hard
Find the ratio in which the point (−4, 6) divides the line segment joining A(−6, 10) and B(3, −8).
Section and Distance Formula
4 marksDifficulty: Hard
The points A(1, 2), B(5, 2) and C(5, 6) are three vertices of a rectangle ABCD. Find the coordinates of D and the length of the diagonal AC.
Original Khojo Papers practice question — not from a past board paper.
Answer
D is (1, 6) and AC = 4√2 units.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
In a rectangle the diagonals bisect each other. The midpoint of AC is (3, 4), so D = (2 × 3 − 5, 2 × 4 − 2) = (1, 6). AC = √(16 + 16) = 4√2.
Related questions
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