In what ratio does the y-axis divide the line segment joining the points P(-4, 5) and Q(3, -7)?
Answer and explanation
Correct answer: A. 4:3
- Step 1: Any point on the y-axis has x-coordinate equal to 0.
- Step 2: Section formula for x: x = (m1 x2 + m2 x1) / (m1 + m2).
- Step 3: 0 = (k 3 + 1 (-4)) / (k + 1) => 3k - 4 = 0 => k = 4/3.
- Step 4: The ratio is 4:3.
Why not the others: 3:4, 2:3 and 5:7 do not fit.
Practise more Coordinate geometry.
Free questions with an explanation for every one, and full timed CBSE Class 10 mock tests.