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STRAIGHT LINES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSTRAIGHT LINES1 Mark
MCQ
Choose the correct answer. The point (4, 1) undergoes the following two successive transformations:
  1. Reflection about the line y = x.
  2. Translation through a distance 2 units along the positive x-axis.
Then the final coordinates of the point are:
  • A
    (4, 3)
  • ✓
    (3, 4)
  • C
    (1, 4)
  • D
    $\frac{7}{2},\frac{7}{2}$
✓

Answer

Correct option: B.
(3, 4)
Reflection of A(4, 1) in y = x is 5(1, 4).
Now translation of point B through a distance '2' units along the positive x-axis shifts B to C(1 + 2, 4) or C(3, 4).

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