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A line has intercepts a, b on the coordinate axes. If the axes are rotated about the origin through an angle α then the line has intercepts p, q on the new position of the axes respectively. Then:
  • a)
  • b)
  • c)
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A line has intercepts a, b on the coordinate axes. If the axes are rot...
Ans.

Method to Solve :

Given, the line
 
l
 
has intercepts
 
a
 
and
 
b
 
on the coordinate axes.
∴ its equation is :
According to the given condition, when the axes are rotated, its equation with respect to new axes and same origin will be :
Now, in both the case, length of perpendicular from the origin to the given line will be same.
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A line has intercepts a, b on the coordinate axes. If the axes are rotated about the origin through an angle α then the line has intercepts p, q on the new position of the axes respectively. Then:a)b)c)d)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
A line has intercepts a, b on the coordinate axes. If the axes are rotated about the origin through an angle α then the line has intercepts p, q on the new position of the axes respectively. Then:a)b)c)d)None of theseCorrect answer is option 'A'. 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 A line has intercepts a, b on the coordinate axes. If the axes are rotated about the origin through an angle α then the line has intercepts p, q on the new position of the axes respectively. Then:a)b)c)d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A line has intercepts a, b on the coordinate axes. If the axes are rotated about the origin through an angle α then the line has intercepts p, q on the new position of the axes respectively. Then:a)b)c)d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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