Q89.Let S be the mirror image of the point Q(1, 3, 4) with respect to the plane 2x โy + z + 3 = 0 and let R(3, 5, ฮณ) be a point of this plane. Then the square of the length of the line segment SR is
What This Question Tests
This question requires finding the mirror image of a point with respect to a plane, which involves determining the foot of the perpendicular from the point to the plane. It also involves verifying if a given point lies on the plane and then calculating the distance between two points.
Concepts Tested
Formulas Used
Equation of line passing through (x1, y1, z1) with DRs (a, b, c): (x - x1)/a = (y - y1)/b = (z - z1)/c
Midpoint formula: ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2)
Distance between two points in 3D: sqrt((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2)
๐ NCERT Sections This Tests
9.15 โ Apply Mirror Equation And The Condition:
Physics Class 12 ยท Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
9.1 โ A Small Candle, 2.5 Cm In Size Is Placed At 27 Cm In Front Of A Concave
Physics Class 12 ยท Chapter 9
9.1 A small candle, 2.5 cm in size is placed at 27 cm in front of a concave mirror of radius of curvature 36 cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image? Describe the nature and size of the image. If the candle is moved closer to the mirror, how would the screen have to be moved?
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.
๐ Question Details
- Chapter
- 3D Geometry
- Topic
- Mirror image of a point with respect to a plane
- Year
- 2021
- Shift
- 27 Aug Shift 2
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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