TS EAMCET · Maths · Circle
Let \(\mathrm{P}\) be the point to which origin has to be shifted by the translation of axes so as to remove the first degree terms from the equation \(3 x^2+y^2-6 x+4 y+4=0\). If the origin is shifted to \(\mathrm{P}\) by the translation of axes, then the transformed equation of \(2 x^2+3 x y-5 y^2+2 x-23 y-24=0\) is
- A \(x^2+4 x y-3 y^2-4 x+20 y+23=0\)
- B \(2 x^2-3 x y+5 y^2=0\)
- C \(2 x^2+3 x y-5 y^2=0\)
- D \(2 x^2+3 x y-5 y^2-13=0\)
Answer & Solution
Correct Answer
(C) \(2 x^2+3 x y-5 y^2=0\)
Step-by-step Solution
Detailed explanation
Let the origin is shifted to \(P(h, k)\) If new co-ordinates of any point \(O\left(x^{\prime}, y^{\prime}\right)\)…
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
- If the slope of one of the lines represented by is , then the angle between the pair of lines isTS EAMCET 2022 Easy
- The equation of the tangent to the curve \(x^2+y-7=4 x\) at the point \((1,10)\) isTS EAMCET 2022 Easy
- When two dice are rolled, let be the probability of getting a sum of the numbers appear on the dice is at most . Let be the probability of getting a sum at least once when a pair of dice are rolled times. In order to have the minimum isTS EAMCET 2020 Medium
- If \(\cos ^{-1}\left(\frac{1}{2}\right)=\cot \left(\cos ^{-1} x\right)\), then the value of \(x\) isTS EAMCET 2015 Easy
- If \(\alpha\) and \(\beta\) are the least positive integers such that for all \(n \in N, n^3+\alpha n\) is divisible by 3 and \(n^3-\beta n\) is divisible by 6 , then \(\alpha+\beta=\)TS EAMCET 2019 Easy
- If \(z_1=2-3 i\) and \(z_2=-1+i\), then the locus of a point \(P\) represented by \(z=x+i y\) in the argand plane satisfying the equation \(\arg \left(\frac{z-z_1}{z-z_2}\right)=\frac{\pi}{2}\) isTS EAMCET 2018 Medium
More PYQs from TS EAMCET
- \(\lim _{x \rightarrow \infty}\left(\frac{x+6}{x+1}\right)^{x+4}\) is equal toTS EAMCET 2012 Medium
- For a given truth table \(A, B\) and \(C\) are inputs and \(Y\) is the output, then the functional form of the circuit is
TS EAMCET 2019 Easy - If \(E_1\) and \(E_2\) are two events of the sample space such that \(P\left(E_1\right)=\frac{1}{4}, P\left(E_1 / E_2\right)=\frac{1}{2}\) and \(P\left(E_2 / E_1\right)=\frac{1}{3}\), then \(P\left(E_1 / \bar{E}_2\right)=\)TS EAMCET 2020 Medium
- As a business strategy, of the new internet service subscribers selected randomly receive a special promotion. If a group of such subscribers signs for the service, then the probability that at least two of them get the special promotion isTS EAMCET 2019 Easy
- The distance between the points of concurrency of the two families of straight lines given by \(x+(5 \lambda+1) y+\) \(1-3 \lambda=0\) and \((5 \mu+2) x-3 y+3+6 \mu=0\) isTS EAMCET 2022 Hard
- Which one of the following statements is "not correct" about cationic detergents?TS EAMCET 2020 Medium