TS EAMCET · Maths · Straight Lines
The image of every point lying on the curve \(x^2+y^2=1\) in the line \(x+y=1\) satisfies the equation.
- A \(x^2+y^2+2 x+2 y+1=0\)
- B \(x^2+y^2-2 x+2 y+1=0\)
- C \(x^2+y^2+2 x-2 y+1=0\)
- D \(x^2+y^2-2 x-2 y+1=0\)
Answer & Solution
Correct Answer
(D) \(x^2+y^2-2 x-2 y+1=0\)
Step-by-step Solution
Detailed explanation
\(\begin{array}{ll} \because & A \text { and } B \text { lies on } x+y=1 \\ \therefore & A(1,0), B(0,1) \end{array}\) also \(O P \perp A B\)…
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
- Let \(A\) and \(B\) be not mutually exclusive events. If \(P(A)=\frac{4}{9}, P(A \cap \bar{B})=\frac{3}{7}\) then \(P\left(\frac{B}{A}\right)=\)TS EAMCET 2020 Easy
- If \([x]\) denotes the greatest integer not exceeding \(x\) and if the function \(f\) defined by \(f(x)= \begin{cases}\frac{a+2 \cos x}{x^2} & , x < 0 \ b \tan \frac{\pi}{[x+4]} & , x \geq 0\end{cases}\) is continuous at \(x=0\), then the ordered pair \((a, b)\) is equal toTS EAMCET 2011 Hard
- If \(\mathrm{A}(2,1,-1), \mathrm{B}(6,-3,2), \mathrm{C}(-3,12,4)\) are the vertices of a triangle ABC and the equation of the plane containing the triangle ABC is \(53 x+b y+c z+d=0\), then \(\frac{d}{b+c}=\)TS EAMCET 2025 Medium
- The value of in order that the foci of the hyperbola and the ellipse coincide isTS EAMCET 2020 Medium
- In any \(\triangle A B C, \frac{1+\cos (A-B) \cdot \cos C}{1+\cos (A-C) \cdot \cos B}\) is equal toTS EAMCET 2021 Medium
- The number of normals drawn to the parabola \(y^2=4 x\) from the point \((1,0)\) isTS EAMCET 2009 Easy
More PYQs from TS EAMCET
- Two bodies were thrown simultaneously from the origin: one straight up and the other, at an angle, to the vertical. The initial velocity of each body is equal to Neglecting the air resistance, the distance between the two bodies after is ()TS EAMCET 2021 Easy
- A circle \(S \equiv x^2+y^2+2 g x+2 f y+6=0\) cuts another circle \(x^2+y^2-6 x-6 y-6=0\).orthogonally. If the angle between the circles \(S=0\) and \(x^2+y^2+6 x+6 y+2=0\) is \(60^{\circ}\), then the radius of the circle \(S=0\) isTS EAMCET 2024 Medium
- A tension of \(20 \mathrm{~N}\) is applied to a copper wire of cross sectional area \(0.01 \mathrm{~cm}^2\), Young's modulus of copper is \(1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^2\) and Poisson's ratio is 0.32 . The decrease in cross sectional area of the wire isTS EAMCET 2013 Medium
- Under which one of the following conditions do real gases approach the ideal gas behaviour?TS EAMCET 2011 Easy
- A solenoid of length \(2 \mathrm{~m}\) carries a current of \(20 \mathrm{~A}\). The diameter of the solenoid is \(3 \mathrm{~cm}\). If the magnetic field inside the solenoid is \(20 \mathrm{mT}\), then the length of wire forming the solenoid is (assume, \(\mu_0=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}\) )TS EAMCET 2020 Easy
- If \(\alpha\) is a root of \(z^2-z+1=0\), then \(\left(\alpha^{2014}+\frac{1}{\alpha^{2014}}\right)+\left(\alpha^{2015}+\frac{1}{\alpha^{2015}}\right)^2\) \[ \begin{aligned} & +\left(\alpha^{2016}+\frac{1}{\alpha^{2016}}\right)^3+\left(\alpha^{2017}+\frac{1}{\alpha^{2017}}\right)^4+ \ & \left(\alpha^{2018}+\frac{1}{\alpha^{2018}}\right)^5= \end{aligned} \]TS EAMCET 2018 Medium