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
Find the ratio in which the x-axis divides the line segment joining (2, −3) and (5, 6).
Original Khojo Papers practice question — not from a past board paper.
Answer
1 : 2
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Let the ratio be k : 1. The y-coordinate of the dividing point is (6k − 3)/(k + 1) and it must be 0, so 6k = 3 and k = 1/2, that is 1 : 2.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
Show that the points (1, 1), (4, 4) and (6, 6) are collinear using the distance formula.
Section and Distance Formula
Same chapter3 marksDifficulty: Medium
Find the coordinates of the point that divides the join of (1, 2) and (7, 11) internally in the ratio 1 : 2.
Section and Distance Formula
Same chapter3 marksDifficulty: Medium
Find the centroid of the triangle whose vertices are (1, 2), (3, −4) and (5, 8).
Section and Distance Formula
Same chapter3 marksDifficulty: Medium
Find k if the distance between (2, −3) and (10, k) is 10 units.
Section and Distance Formula
Same chapter1 markDifficulty: Medium
The midpoint of the segment joining (a, b) and (c, d) is:
Section and Distance Formula