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
Find the point on the x-axis that is equidistant from (2, −5) and (−2, 9).
Original Khojo Papers practice question — not from a past board paper.
Answer
(−7, 0)
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Let the point be (x, 0). Then (x − 2)2 + 25 = (x + 2)2 + 81, so −4x + 29 = 4x + 85, giving −8x = 56 and x = −7.
Related questions
From the same topic and chapter, at a similar level.
Same chapter4 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.
Section and Distance Formula
Same chapter3 marksDifficulty: Medium
Find the centroid of the triangle whose vertices are (1, 2), (3, −4) and (5, 8).
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Same chapter2 marksDifficulty: Easy
Find the distance between the points (2, 3) and (6, 6).
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Same chapter2 marksDifficulty: Easy
Find the midpoint of the segment joining (−2, 5) and (6, −1).
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Same chapter2 marksDifficulty: Easy
Find the distance between (3, 4) and (−3, −4).
Section and Distance Formula