Q68.The set of all values of a2 for which the line x + y = 0 bisects two distinct chords drawn from a point P( 1+a2 , 1−a2 ) on the circle 2x2 + 2y2 −(1 + a)x −(1 −a)y = 0 , is equal to : (1) (8, ∞) (2) (0, 4] (3) (4, ∞) (4) (2, 12] JEE Main 2023 (31 Jan Shift 2) JEE Main Previous Year Paper
What This Question Tests
This problem requires using the concept of a chord bisected by a line, interpreting it as the locus of midpoints of chords, and then applying the condition that the chords originate from a specific point on the circle.
Concepts Tested
Formulas Used
T=S1 (chord equation)
Distance from center to chord
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📋 Question Details
- Chapter
- Circles
- Topic
- Chord bisected by a line
- Year
- 2023
- Shift
- 31 Jan Shift 2
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (briefly), Class 12 Mathematics Ch 10: Vector Algebra (for 3D context, but this is 2D) - the core concept is usually taught in Conic Sections in JEE prep
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