Q70.The x−coordinate of the incentre of the triangle that has the coordinates of midpoints of its sides as (0, 1), (1, 1) and (1, 0) is (1) 1 + √2 (2) 1 −√2 (3) 2 + √2 (4) 2 −√2
What This Question Tests
This question requires a multi-step approach: first finding the actual vertices of the triangle from the given midpoints of its sides, then calculating the side lengths, and finally applying the incentre formula.
Concepts Tested
Formulas Used
Midpoint formula
Vertices from midpoints relations
Incentre (ax1+bx2+cx3)/(a+b+c)
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Incentre of a triangle
- Year
- 2013
- Shift
- 07 Apr
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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