Q71.The chord PQ of the parabola y2 = x, where one end P of the chord is at point (4, −2), is perpendicular to the axis of the parabola. Then the slope of the normal at Q is (1) −4 (2) −14 (3) 4 (4) 1 4
What This Question Tests
This problem involves finding the coordinates of a point on a parabola given one endpoint of a chord perpendicular to the axis, and then calculating the slope of the normal at that point.
Concepts Tested
Formulas Used
Equation of parabola y^2=4ax
Slope of tangent at (x1,y1) is m_t = 2a/y1
Slope of normal m_n = -1/m_t
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📋 Question Details
- Chapter
- Parabola
- Topic
- Normal to a parabola
- Year
- 2012
- Shift
- 26 May Online
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (specifically Parabola)
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