✓ Board-verified
Mathematics · 2024 · 2 marks
CBSE 2024 · Region 2 · Set 2 · Q24
The vertices of a ABC are A (-2,4), B (4,3) and C (1,-6). Find length of the median BD.
The vertices of a $\displaystyle \triangle \mathrm{ABC}$ are $\displaystyle \mathrm{A}(-2,4), \mathrm{B}(4,3)$ and $\displaystyle \mathrm{C}(1,-6)$. Find length of the median BD.
Marking-scheme solution
Mid-point of AC is D \(\displaystyle \left(-\frac{1}{2},-1\right)\)
Length of median BD
\[=\sqrt{\left(4+\frac{1}{2}\right)^{2}+(3+1)^{2}}=\sqrt{\frac{145}{4}} \text { or } \frac{\sqrt{145}}{2}
\]
All Coordinate Geometry questions2024 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 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.