Q65.The point P(a, b) undergoes the following three transformations successively: (a) reflection about the line y = x. (b) translation through 2 units along the positive direction of x− axis. (c) rotation through angle π4 about the origin in the anti-clockwise direction. , 2a + b is equal to: 7 ), then the value of If the co-ordinates of the final position of the point P are (−1√2 √2 (1) 13 (2) 9 (3) 5 (4) 7
What This Question Tests
This question tests the sequential application of three geometric transformations (reflection, translation, and rotation) on a point to find its final coordinates, and then solving for initial coordinates.
Concepts Tested
Formulas Used
P(x,y) -> (y,x) (reflection about y=x)
P(x,y) -> (x+a, y+b) (translation)
P(x,y) -> (xcosθ - ysinθ, xsinθ + ycosθ) (rotation)
📚 NCERT Sections This Tests
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
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5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
5.11 — Draw All The Isomers (Geometrical And Optical) Of:
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5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · 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?
📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Transformation of points
- Year
- 2021
- Shift
- 27 Jul Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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