AP EAMCET · Maths · Pair of Lines
If the transformed equation of the equation \(2 x^2+3 x y-2 y^2-17 x+6 y+8=0\) after translating the coordinate axes to a new origin \((\alpha, \beta)\) is \(a X^2+2 h X Y+b Y^2+c=0\), then \(3 \alpha+c=\)
- A h
- B 2 h
- C \(2 \beta\)
- D \(\beta\)
Answer & Solution
Correct Answer
(C) \(2 \beta\)
Step-by-step Solution
Detailed explanation
\( 4\alpha + 3\beta - 17 = 0 \) \( 3\alpha - 4\beta + 6 = 0 \) \( 16\alpha + 12\beta - 68 = 0 \) \( 9\alpha - 12\beta + 18 = 0 \) \( 25\alpha - 50 = 0 \Rightarrow \alpha = 2 \) \( 3(2) - 4\beta + 6 = 0 \Rightarrow 12 - 4\beta = 0 \Rightarrow \beta = 3 \)…
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