AP EAMCET · Maths · Pair of Lines
The two pairs of straight lines \(12 x^2+7 x y-12 y^2=0\) and \(12 x^2+7 x y-12 y^2-x+7 y-1=0\) constitute a
- A area of square \(\frac{1}{25}\) sq units
- B area of square \(\frac{1}{5}\) sq units
- C area of rectangle \(\frac{1}{10}\) sq units
- D area of rectangle \(\frac{1}{15}\) sq units
Answer & Solution
Correct Answer
(A) area of square \(\frac{1}{25}\) sq units
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text { } 12 x^2+7 x y-12 y^2=0 \\ & 12 x^2+16 x y-9 x y-12 y^2=0 \\ & 4 x(3 x+4 y)-3 y(3 x+4 y)=0 \\ & (4 x-3 y)(3 x+4 y)=0 \\ & 4 x-3 y=0 \text { and } 3 x+4 y=0 \end{aligned} \] Slope of the two lines are \(\frac{4}{3}\) and \(\frac{-3}{4}\),…
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