TS EAMCET · Maths · Pair of Lines
In order to eliminate the first degree terms from the equation \(2 x^2+4 x y+5 y^2-4 x-22 y+7=0\), the point to which origin is to be shifted, is
- A \((1,-3)\)
- B \((2,3)\)
- C \((-2,3)\)
- D \((1,3)\)
Answer & Solution
Correct Answer
(C) \((-2,3)\)
Step-by-step Solution
Detailed explanation
Given equation is \(2 x^2+4 x y+5 y^2-4 x-22 y+7=0\) Here, \(a=2, b=5, c=7, h=2, g=-2, f=-11\) To eliminate 1st degree terms origin is to be shifted to the point \(\left(\frac{h f-b g}{a b-h^2}, \frac{g h-a f}{a b-h^2}\right)\)…
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
- The radius of the circle given by \(\begin{aligned} x^2+y^2 & +z^2+2 x-2 y-4 z-19=0 \ & =x+2 y+2 z+7, \text { is } \end{aligned}\)TS EAMCET 2011 Medium
- If \(\tan A \lt 0\) and \(\tan 2 A=-\frac{4}{3}\), then \(\cos 6 A=\)TS EAMCET 2024 Medium
- The set of values of \(x\) for which the inequalities \(x^2-3 x-10 < 0, \quad 10 x-x^2-16>0 \quad\) hold simultaneously, isTS EAMCET 2007 Easy
- If is a differentiable function at such that thenTS EAMCET 2021 Medium
- If \(f(x)=\cos ^2 x+\cos ^2 2 x+\cos ^2 3 x\), then the number of values of \(x \in[0,2 \pi]\) for which \(f(x)=1\) isTS EAMCET 2016 Medium
- In a if thenTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- In the circuit given below, the capacitor is charged by closing the switch and opening the switch . After charging, the switch is opened and is closed, then the maximum current in the circuit
TS EAMCET 2018 Easy - A current of \(19296 \mathrm{C}\) is passed through an aqueous solution of copper sulphate using copper electrodes. What is the mass (ing) of copper deposited at the cathode? (Molar mass of \(\mathrm{Cu}=63.5 \mathrm{~g} \mathrm{~mol}^{-1}\) )TS EAMCET 2019 Easy
- Let \(\mathrm{A}, \mathrm{B}\) be two \(3 \times 3\) matrices and \(\mathrm{C}\) be a \(3 \times 3\) unit matrix such that \(A B-C\) is a non-singular matrix. Let \(\mathrm{D}=(\mathrm{AB}-\mathrm{C})^{-1}\). Then, consider the following statements.
Statement I : \(\operatorname{det}(\mathrm{BA})=\operatorname{det}(\mathrm{BA}-\mathrm{C}) \operatorname{det}(\mathrm{BDA})\)
Statement II : ABD = DAB
Which of the above statements is (are) true?TS EAMCET 2022 Medium - The rate of diffusion of methane at \(1.0 \mathrm{~atm}\) pressure is twice than that of another gas ' \(\mathrm{X}\) ' kept at \(1.45 \mathrm{~atm}\). The molecular of the gas ' \(\mathrm{X}\) ' is [T kept constant]TS EAMCET 2022 Medium
- A dealer gets refrigerators from 3 different manufacturing companies \(C_1, C_2\) and \(C_3 .25 \%\) of his stock is from \(C_1, 35 \%\) from \(C_2\) and \(40 \%\) from \(C_3\). The percentages of receiving defective refrigerators from \(C_1, C_2\) and \(C_3\) are \(3 \%, 2 \%\), \(1 \%\) respectively. If a refrigerator sold at random is found to be defective by a customer, then the probability that it is from \(C_2\) isTS EAMCET 2024 Hard
- Two non-reactive monoatomic ideal gases have their atomic masses in the ratio The ratio of their partial pressures when enclosed in a vessel kept at a constant temperature is The ratio of their densities isTS EAMCET 2021 Easy