Q71.Let O be the vertex and Q be any point on the parabola, x2 = 8y. If the point P divides the line segment OQ internally in the ratio 1 : 3 , then the locus of P is (1) x2 = 2y (2) x2 = y (3) y2 = x (4) y2 = 2x
What This Question Tests
This question requires using the parametric representation of a point on the parabola and the section formula to find the coordinates of P, then eliminating the parameter to find its locus.
Concepts Tested
Formulas Used
Parametric coordinates of x^2=4ay (2at, at^2)
Section formula ((mx2+nx1)/(m+n), (my2+ny1)/(m+n))
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📋 Question Details
- Chapter
- Parabola
- Topic
- Locus
- Year
- 2015
- Shift
- 04 Apr
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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