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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Mathematics
Chapter
Sequences and Series

BITSAT 2020 · Mathematics · Sequences and Series

If a, c, b are in G.P., then the area of the triangle formed by the...

If a,c,ba, c, b are in G.P., then the area of the triangle formed by the lines ax+by+c=0a x+b y+c=0 with the coordinates axes is equal to

Options

  1. A1
  2. B2
  3. C12\frac{1}{2}
  4. DNone of these

Correct answer

C. 12\frac{1}{2}

Step-by-step solution

Area of the triangle =12(x=\frac{1}{2}(\mathrm{x} intercept )×(y) \times(\mathrm{y} intercept )=12(−ca)(−cb)=12\mathrmc2ab=12unit[∵a,c,b)=\frac{1}{2}\left(-\frac{\mathrm{c}}{\mathrm{a}}\right)\left(-\frac{\mathrm{c}}{\mathrm{b}}\right)=\frac{1}{2} \frac{\mathrmc^{2}}{\mathrm{ab}}=\frac{1}{2} \mathrm{unit}\left[\because \mathrm{a}, \mathrm{c}, \mathrm{b}\right. are in \left.\mathrm{G} . \mathrm{P} . \Rightarrow \mathrmc^{2}=\mathrm{ab}\right]
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