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If a, b, c and u, v, w are complex numbers representing the vertices of two triangles such that c = (1 – r) a + rb and w = (1 – r)u + rv, where r is a complex number, then the two trian gles (1985 - 2 Marks)
  • a)
    have the same area
  • b)
    are similar
  • c)
    are congruent
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If a, b, c and u, v, w are complex numbers representing the vertices o...
Let ABC be the Δ with vertices a, b, c and PQR be the Δ with vertices u, v, w.
Then c = (1– r) a + rb.
  
⇒ c – a = r(b – a) ....(1)
⇒ w = (1– r) u + rv  ....(2)
From (1) and (2) and
⇒ ΔABC ~ΔPQR.
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If a, b, c and u, v, w are complex numbers representing the vertices of two triangles such that c = (1 – r) a + rb and w = (1 – r)u + rv, where r is a complex number, then the two trian gles (1985 - 2 Marks)a)have the same areab)are similarc)are congruentd)none of theseCorrect answer is option 'B'. Can you explain this answer?
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If a, b, c and u, v, w are complex numbers representing the vertices of two triangles such that c = (1 – r) a + rb and w = (1 – r)u + rv, where r is a complex number, then the two trian gles (1985 - 2 Marks)a)have the same areab)are similarc)are congruentd)none of theseCorrect answer is option 'B'. 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 If a, b, c and u, v, w are complex numbers representing the vertices of two triangles such that c = (1 – r) a + rb and w = (1 – r)u + rv, where r is a complex number, then the two trian gles (1985 - 2 Marks)a)have the same areab)are similarc)are congruentd)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a, b, c and u, v, w are complex numbers representing the vertices of two triangles such that c = (1 – r) a + rb and w = (1 – r)u + rv, where r is a complex number, then the two trian gles (1985 - 2 Marks)a)have the same areab)are similarc)are congruentd)none of theseCorrect answer is option 'B'. Can you explain this answer?.
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