TS EAMCET · Maths · Straight Lines
The point to which the origin is to be shifted by translation of axes so that the transformed equation of \(y^2+4 y+8 x-2=0\) will not contain \(y\) term and constant term is
- A \(\left(\frac{3}{4},-2\right)\)
- B \(\left(\frac{-3}{4},-2\right)\)
- C \(\left(2, \frac{3}{4}\right)\)
- D \(\left(-2, \frac{-3}{4}\right)\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{3}{4},-2\right)\)
Step-by-step Solution
Detailed explanation
Given equation is \(y^2+4 y+8 x-2=0\) Let the origin be shifted by \((\alpha, \beta)\) Then, \(\mathrm{X}=x-\alpha\), and \(\mathrm{Y}=y-\beta\) \[ x=\mathrm{X}+\alpha, y=\mathrm{Y}+\beta \text {. } \] Put in original equation.…
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