Q72.Tangents are drawn to the hyperbola 4x2 −y2 = 36 at the points P and Q. If these tangents intersect at the point T(0, 3) then the area (in sq. units) of ΔPTQ is: (1) 36√5 (2) 45√5 (3) 54√3 (4) 60√3
What This Question Tests
This problem involves finding the points of tangency (P and Q) from an external point (T) to a hyperbola using the concept of the chord of contact, and then calculating the area of the triangle formed by these three points.
Concepts Tested
Formulas Used
Equation of hyperbola x^2/a^2 - y^2/b^2 = 1
Equation of chord of contact T=0
Area of triangle using coordinates
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Tangents to hyperbola
- Year
- 2018
- Shift
- 08 Apr
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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