Q66.If P(6, 1) be the orthocentre of the triangle whose vertices are A(5, −2), B(8, 3) and C(h, k), then the point C lies on the circle: (1) x2 + y2 −61 = 0 (2) x2 + y2 −52 = 0 (3) x2 + y2 −65 = 0 (4) x2 + y2 −74 = 0
What This Question Tests
This question requires using the property that the orthocentre is the intersection of altitudes, and thus the slopes of perpendicular sides and altitudes are related.
Concepts Tested
Formulas Used
Slope m = (y2-y1)/(x2-x1)
Perpendicular slopes m1m2 = -1
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Orthocentre of a triangle
- Year
- 2024
- Shift
- 06 Apr Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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