Q66.The locus of the mid-point of the line segment joining the focus of the parabola ๐ฆ2 = 4๐๐ฅ to a moving point of the parabola, is another parabola whose directrix is: (1) ๐ฅ= ๐ (2) ๐ฅ= 0 (3) ๐ฅ= - ๐ (4) ๐ฅ= ๐ 2 2
What This Question Tests
The question tests the ability to find the locus of a midpoint and then identify the directrix of the resulting parabola, requiring knowledge of parabola elements and coordinate geometry.
Concepts Tested
Formulas Used
Parabola equation y^2 = 4ax
Focus (a, 0)
Mid-point ((x1+x2)/2, (y1+y2)/2)
๐ NCERT Sections This Tests
9.8 โ A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 ยท Chapter 9
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?
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
10.2 โ What Is The Shape Of The Wavefront In Each Of The Following Cases:
Physics Class 12 ยท Chapter 10
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.
๐ Question Details
- Chapter
- Parabola
- Topic
- Locus of a point
- Year
- 2021
- Shift
- 24 Feb Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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