Q68.In a triangle ABC , coordianates of A are (1, 2) and the equations of the medians through B and C are x + y = 5 and x = 4 respectively. Then area of △ABC (in sq. units) is (1) 5 (2) 9 (3) 12 (4) 4
What This Question Tests
This question tests the understanding of triangle properties in coordinate geometry, specifically using the equations of medians to find the vertices and then calculating the area of the triangle.
Concepts Tested
Formulas Used
Centroid divides median in ratio 2:1
Midpoint formula
Area = 1/2 |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)|
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Medians and centroid of a triangle
- Year
- 2018
- Shift
- 15 Apr Shift 1 Online
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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