Q63.Let the circumcentre of a triangle with vertices A(a, 3), B(b, 5) and C(a, b), ab > 0 be P(1, 1). If the line AP intersects the line BC at the point Q(k1, k2), then k1 + k2 is equal to (1) 2 (2) 47 (3) 2 (4) 4 7
What This Question Tests
This question tests the understanding of the circumcenter's property (equidistance from vertices) to find coordinates, followed by forming equations of lines and finding their intersection.
Concepts Tested
Formulas Used
Distance formula: d² = (x₂-x₁)² + (y₂-y₁)²
Slope of a line: m = (y₂-y₁)/(x₂-x₁)
Equation of a line: y - y₁ = m(x - x₁)
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📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Circumcenter and Lines
- Year
- 2022
- Shift
- 29 Jul Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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