✓ Board-verified
Mathematics · 2025 · 2 marks
CBSE 2025 · Region 4 · Set 1 · Q23
Find the coordinates of the point C which lies on the line AB produced such that AC =2 BC, where coordinates of points A and B are (-1, 7) and (4,…
Find the coordinates of the point C which lies on the line AB produced such that $\displaystyle \mathrm{AC}=2 \mathrm{BC}$, where coordinates of points A and B are $\displaystyle (-1, 7)$ and $\displaystyle (4, -3)$ respectively.
Marking-scheme solution
Let coordinates of point C be ( \(\displaystyle \mathrm{x}, \mathrm{y}\) )
\(\displaystyle \mathrm{AC}=2 \mathrm{BC}\)
⇒ B is mid-point of AC
\(\displaystyle \Rightarrow \frac{-1+\mathrm{x}}{2}=4 \Rightarrow \mathrm{x}=9\)
\(\displaystyle \frac{7+\mathrm{y}}{2}=-3 \Rightarrow \mathrm{y}=-13\)
∴ Coordinates of C are \(\displaystyle (9,-13)\)All Coordinate Geometry questions2025 question paperNCERT solutions: Coordinate GeometryPractice Coordinate Geometry →
More from Coordinate Geometry
- The distance between the points (0,5) and (-3, 1) is:2023
- The end points of a diameter of circle are (2, 4) and (- 3, - 1). The length of its radius is:2025
- Diagonals AC and BD of square ABCD intersect at P. Coordinates of points B and D are (9, -2) and (1,6) respectively. (i) Find the co-ordinates of…2026
- The distance of which of the following points from origin is less than 5 units?2025
- Find the ratio in which the y -axis divides the line segment joining the points (5, -6) and (-1, -4).2023
- The line segment joining the points P(-4,-2) and Q(10,4) is divided by y-axis in the ratio2026
- The equation of a line parallel to y -axis and at a distance of 5 units to the right of y -axis is:2025
- AOBC is a rectangle whose three vertices are A (0,2), O (0,0) and B (4,0). The square of the length of its diagonal is equal to:2025
CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.