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Th e poin t (4, 1) under goes th e following t hr ee transformations successively. (1980)
(i) Reflection about the line y = x.
(ii) Translation through a distance 2 units along the positive direction of x-axis.
(iii) Rotation through an angle p/4 about the origin in the counter clockwise direction.
Then the final position of the point is given by the coordinates.
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Th e poin t (4, 1) under goes th e following t hr ee transformations s...
Reflection about the line y = x, changes the point (4, 1) to (1, 4).
On translation of (1, 4) through a distance of 2 units along +ve direction of x-axis the point becomes (1 + 2, 4), i.e., (3, 4).
On rotation about origin through an angle p/4 the point P takes the position P' such that OP = OP'
Also OP = 5 = OP' and  
Now, x = OP' 
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Th e poin t (4, 1) under goes th e following t hr ee transformations successively. (1980)(i) Reflection about the line y = x.(ii) Translation through a distance 2 units along the positive direction of x-axis.(iii) Rotation through an angle p/4 about the origin in the counter clockwise direction.Then the final position of the point is given by the coordinates.a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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Th e poin t (4, 1) under goes th e following t hr ee transformations successively. (1980)(i) Reflection about the line y = x.(ii) Translation through a distance 2 units along the positive direction of x-axis.(iii) Rotation through an angle p/4 about the origin in the counter clockwise direction.Then the final position of the point is given by the coordinates.a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Th e poin t (4, 1) under goes th e following t hr ee transformations successively. (1980)(i) Reflection about the line y = x.(ii) Translation through a distance 2 units along the positive direction of x-axis.(iii) Rotation through an angle p/4 about the origin in the counter clockwise direction.Then the final position of the point is given by the coordinates.a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Th e poin t (4, 1) under goes th e following t hr ee transformations successively. (1980)(i) Reflection about the line y = x.(ii) Translation through a distance 2 units along the positive direction of x-axis.(iii) Rotation through an angle p/4 about the origin in the counter clockwise direction.Then the final position of the point is given by the coordinates.a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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