Q56.Let P be a point on the parabola, y2 = 12x and N be the foot of the perpendicular drawn from P , on the axis of the parabola. A line is now drawn through the mid-point M of PN , parallel to its axis which meets the parabola at Q . If the y−intercept of the line NQ is 43 , then : JEE Main 2020 (03 Sep Shift 1) JEE Main Previous Year Paper (1) PN = 4 (2) MQ = 13 (3) MQ = 14 (4) PN = 3
What This Question Tests
This complex coordinate geometry problem integrates properties of parabolas, midpoints, and straight lines, requiring careful analytical calculations to determine the length of a line segment.
Concepts Tested
Formulas Used
y² = 12x (a=3)
Midpoint formula
Equation of a line (y - y1 = m(x - x1))
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Parabola
- Topic
- Properties of parabola and coordinate geometry
- Year
- 2020
- Shift
- 03 Sep Shift 1
- Q Number
- Q56
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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