AP EAMCET · Maths · Straight Lines
The number of possible straight lines passing through the point \((2,3)\), while forming a triangle with coordinate axes enclosing an area 12 sq. units is
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
Let the equation of line forming a triangle having area \(12 \mathrm{sq}\). units is \[ \frac{x}{a}+\frac{y}{b}=1 \] So, \[ |a b|=24 \] \(\because\) Line (i) passes through point \((2,3)\), so \[ \frac{2}{a}+\frac{3}{b}=1 \] from Eqs. (ii) and (iii), we get \[ |2 b+3 a|=24 \] If…
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