Q70.The point of intersection of the normals to the parabola y2 = 4x at the ends of its latus rectum is : (1) (0, 2) (2) (3, 0) (3) (0, 3) (4) (2, 0)
What This Question Tests
This problem involves finding the coordinates of the ends of the latus rectum for a parabola, writing the equations of the normals at these points, and then solving them simultaneously to find their intersection point.
Concepts Tested
Formulas Used
Coordinates of ends of latus rectum: (a, ±2a)
Equation of normal at (x1, y1) to y^2=4ax: y-y1 = -y1/(2a) * (x-x1)
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📋 Question Details
- Chapter
- Parabola
- Topic
- Normals to a parabola
- Year
- 2013
- Shift
- 23 Apr Online
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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