CBSE Class 10 Maths (Standard) 2024 · Paper 30/3/1 · Question 19

Coordinate Geometry 1 mark Medium

Assertion (A): The point which divides the line segment joining the points $A (1, 2)$ and $B (- 1, 1)$ internally in the ratio $1 : 2$ is $(\frac{- 1}{3}, \frac{5}{3})$ .

Reason (R): The coordinates of the point which divides the line segment joining the points $A (x_{1}, y_{1})$ and $B (x_{2}, y_{2})$ in the ratio $m_{1} : m_{2}$ are $(\frac{m _{1} x _{2} + m _{2} x _{1}}{m _{1} + m _{2}}, \frac{m _{1} y _{2} + m _{2} y _{1}}{m _{1} + m _{2}})$ .

(a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
(b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
(c)Assertion (A) is true, but Reason (R) is false.
(d)Assertion (A) is false, but Reason (R) is true.

Answer

(d) Assertion (A) is false, but Reason (R) is true.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2024 · Paper 30/3/1, Question 19 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2024 · Paper 30/3/1 · Question 19

Answer

From the board paper

More questions from Coordinate Geometry