Home > Coordinate Geometry > CBSE > 34d43431-4276-43e0-bcd0-08f08ad82fa3

Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Coordinate Geometry

RD Sharma

CBSE

Grade 10

Question:

The coordinates of the point $P$ dividing the line segment joining $A(1, 3)$ and $B(4, 6)$ in the ratio $2 : 1$ are:
(a) $(3, 5)$
(b) $(2, 4)$
(c) $(5, 3)$
(d) $(4, 2)$

Step-by-Step Solution

Key Concept: $x = \dfrac{2(4) + 1(1)}{3} = \dfrac{9}{3} = 3$, $y = \dfrac{2(6) + 1(3)}{3} = \dfrac{15}{3} = 5$.

$x = 3, y = 5 \Rightarrow (3, 5)$. [1.0 Mark]

---
🎯 Official CBSE Marking Scheme:
Evaluating point $(3, 5)$: 1.0 Mark

Correct Answer: $(3, 5)$

Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.