Q84.Let the points of intersections of the lines ๐ฅ- ๐ฆ+ 1 = 0, ๐ฅ- 2๐ฆ+ 3 = 0 and 2๐ฅ- 5๐ฆ+ 11 = 0 are the mid points of the sides of a triangle ABC . Then the area of the triangle ABC is
What This Question Tests
This question requires finding the vertices of a triangle formed by the midpoints of another triangle's sides, calculating its area, and then using the relationship between the areas of these two triangles.
Concepts Tested
Formulas Used
Solving system of linear equations
Area of triangle = 1/2 |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)|
Area(ABC) = 4 * Area(Midpoint_Triangle)
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๐ Question Details
- Chapter
- Coordinate Geometry
- Topic
- Straight lines, area of a triangle
- Year
- 2021
- Shift
- 01 Sep Shift 2
- Q Number
- Q84
- Type
- Numerical
- NCERT Ref
- Class 10 Mathematics Ch 7: Coordinate Geometry
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