Q75.In a triangle ABC , coordinates of A are (1, 2) and the equations of the medians through B and C are respectively, x + y = 5 and x = 4 . Then area of ΔABC (in sq. units) is : (1) 12 (2) 4 (3) 9 (4) 5
What This Question Tests
This question tests the ability to find the coordinates of the vertices of a triangle given one vertex and the equations of two medians, by effectively using the properties of the centroid, and then calculating the area of the triangle.
Concepts Tested
Formulas Used
Centroid G divides median in 2:1 ratio
Midpoint formula
Area of ΔABC = 1/2 |x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Medians of a triangle, centroid, area of triangle
- Year
- 2018
- Shift
- 15 Apr
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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