Q70.A chord is drawn through the focus of the parabola y2 = 6x such that its distance from the vertex of this parabola is √5 , then its slope can be 2 (1) √5 (2) 2 2 √3 (3) √3 (4) 2 2 √5 JEE Main 2014 (19 Apr Online) JEE Main Previous Year Paper
What This Question Tests
This problem combines the properties of a parabola's focus and vertex with the distance formula for a line from a point to determine the slope of a focal chord.
Concepts Tested
Formulas Used
y² = 4ax
Focus (a,0)
Equation of a line y - y1 = m(x - x1)
Distance of point (x0, y0) from line Ax+By+C=0 is |Ax0+By0+C|/√(A²+B²)
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📋 Question Details
- Chapter
- Parabola
- Topic
- Properties of parabola, focal chord, distance from vertex
- Year
- 2014
- Shift
- 19 Apr Online
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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