SATHEE: Complex Numbers 3 Question 7

Complex Numbers 3 Question 7

7. If $a, b, c$ and $u, v, w$ are the complex numbers representing the vertices of two triangles such that $c = (1 - r) a + r b$ and $w = (1 - r) u + r v$ , where $r$ is a complex number, then the two triangles

$(1985, 2 M)$

(a) have the same area

(b) are similar

(d) None of these

Objective Questions II

(One or more than one correct option)

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Answer:

Correct Answer: 7. (b)

Solution:

Since $a, b, c$ and $u, v, w$ are the vertices of two triangles.

$\begin{aligned} Also, c = (1 - r) a + r b \\ and w = (1 - r) u + r v \\ \begin{array}{lll} a & u & 1 \end{array} \\ \begin{array}{lll} b & v & 1 \end{array} \\ c w 1 \end{aligned}$

$\begin{aligned} = \begin{array}{lll} a & u & 1 \\ b & v & 1 \\ 0 & 0 & 0 \end{array} = 0 \end{aligned}$

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Complex Numbers 3 Question 7

7. If $a, b, c$ and $u, v, w$ are the complex numbers representing the vertices of two triangles such that $c = (1 - r) a + r b$ and $w = (1 - r) u + r v$ , where $r$ is a complex number, then the two triangles

Objective Questions II

Answer:

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Complex Numbers 3 Question 7

7. If a,b,c and u,v,w are the 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 triangles

Objective Questions II

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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7. If $a, b, c$ and $u, v, w$ are the complex numbers representing the vertices of two triangles such that $c = (1 - r) a + r b$ and $w = (1 - r) u + r v$ , where $r$ is a complex number, then the two triangles