Q63.Let R be the point (3, 7) and let P and Q be two points on the line x + y = 5 such that PQR is an equilateral triangle. Then the area of ΔPQR is (1) 25 (2) 25√3 4√3 2 (3) 25 (4) 25 √3 2√3
What This Question Tests
This question tests the ability to calculate the distance of a point from a line and use it as the height of an equilateral triangle to find its side length and area.
Concepts Tested
Formulas Used
Distance = |Ax₀+By₀+C|/√(A²+B²)
Height of equilateral triangle h = (√3/2)a
Area of equilateral triangle = (√3/4)a²
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📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Straight Lines
- Year
- 2022
- Shift
- 26 Jun Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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