Q5. Two parabolas have the same focus (4, 3) and their directrices are the x-axis and the y-axis, respectively. If these parabolas intersects at the points A and B, then (AB)2 is equal to : (1) 392 (2) 384 (3) 192 (4) 96
What This Question Tests
This problem involves finding the equations of two parabolas using their focus and directrix, then determining the intersection points and the distance between them.
Concepts Tested
Formulas Used
Distance formula: √((x₂-x₁)² + (y₂-y₁)²)
📚 NCERT Sections This Tests
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10.2 What is the shape of the wavefront in each of the following cases: (a) Light diverging from a point source. (b) Light emerging out of a convex lens when a point source is placed at its focus. (c) The portion of the wavefront of light from a distant star intercepted by the Earth.
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9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
📋 Question Details
- Chapter
- Parabola
- Topic
- Equation of Parabola
- Year
- 2025
- Shift
- 29 Jan Shift 1
- Q Number
- Q5
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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