AP EAMCET · Maths · Pair of Lines
The transformed equation of \(x^2-y^2+2 x+4 y=0\) when the origin is shifted to the point \((-1,2)\) is
- A \(x^2+y^2=1\)
- B \(x^2+3 y^2=1\)
- C \(x^2-y^2+3=0\)
- D \(4 x^2+9 y^2=36\)
Answer & Solution
Correct Answer
(C) \(x^2-y^2+3=0\)
Step-by-step Solution
Detailed explanation
\(x^2-y^2+2 x+4 y=0\) Origin is shifted to \((-1,2)\), Let \(x=X-1, y=Y+2\) \(\begin{aligned} & \Rightarrow(X-1)^2-(Y+2)^2+2(X-1)+4(Y+2)=0 \\ & \Rightarrow X^2-Y^2+3=0 \end{aligned}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(\lim _{x \rightarrow 0} \frac{\tan ^3 x-\sin ^3 x}{x^5}\) is equal toAP EAMCET 2013 Medium
- The equation of the plane passing through the point \((1,2,2)\) and perpendicular to the planes \(x-y+2 z=3\) and \(2 \mathrm{x}-2 \mathrm{y}+\mathrm{z}+12=0\), isAP EAMCET 2023 Medium
- If thenAP EAMCET 2021 Medium
- If \(\lim _{x \rightarrow 1} \frac{\sqrt[4]{x^{-3}}+a \sqrt[4]{x^5}}{x-1}=-2\), then the coefficient of \(x\) in the expansion of \(\left(\sqrt[4]{x^{-3}}+a \sqrt[4]{x^5}\right)^4\) isAP EAMCET 2023 Medium
- A point which lies on the circle passing through the points \((1,1),(-6,0),(-2,2)\) isAP EAMCET 2017 Medium
- If \(A\) and \(B\) are two independent events such that \(P(B)=\frac{2}{7}, P\left(A \cup B^c\right)=0.8\), then \(P(A)\) is equal to :AP EAMCET 2006 Medium
More PYQs from AP EAMCET
- The load resistance and the base-emitter voltage of a transistor in CE configuration are \(5 \mathrm{k} \Omega\) and \(0.02 \mathrm{~V}\) respectively. If the collector current is \(2 \mathrm{~mA}\), then its voltage gain isAP EAMCET 2023 Easy
- Consider the following standard electrode potentials ( \(\mathrm{E}^0\) in volts) in aqueous solution
Based on this data, which of the following statements is correct?AP EAMCET 2024 Medium - In compton scattering process, the incident \(X\)-radiation is scattered at an angle \(60^{\circ}\). The wavelength of the scattered radiation is \(0.22 Ã…\). The wavelength of the incident \(X\)-radiation in \(Ã…\) units isAP EAMCET 2002 Medium
- If two vectors \(\mathbf{A}\) and \(\mathbf{B}\) are mutually perpendicular, then the component of \(\mathbf{A}-\mathbf{B}\) along the direction of \(\mathbf{A}+\mathbf{B}\) isAP EAMCET 2022 Easy
- If the normal to the curve \(x^{2 / 3}+y^{2 / 3}=a^{2 / 3}\) makes an angle \(\phi\) with the \(\mathrm{X}\) - axis, then the equation of that normal isAP EAMCET 2017 Hard
- When a hydrogen atom emits a photon during a transition from to its recoil speed is aboutAP EAMCET 2019 Easy