TS EAMCET · Maths · Circle
Let \(x+y=0\) be the radical axis of the circles \(\mathrm{S} \equiv x^2+y^2\) \(+2 g x+2 f y+c=0\) and \(\mathrm{S}^1 \equiv x^2+y^2-6 x-4 y+4=0\) and the radius of the circle \(\mathrm{S}=0\) be 1 . The \(g+f=\)
- A \(\pm 5\)
- B \(\pm 3\)
- C \(\pm 2\)
- D \(\pm 1\)
Answer & Solution
Correct Answer
(B) \(\pm 3\)
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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 \((2,-1,3)\) is the foot of the perpendicular drawn from the origin to a plane, then the equation of that plane isTS EAMCET 2023 Medium
- In a classroom \(5 \%\) of the boys and \(2 \%\) of the girls are taller than \(1.6 \mathrm{~m}\). The class consists of \(60 \%\) girl students. The probability that a randomly selected student is taken than \(1.6 \mathrm{~m}\) isTS EAMCET 2018 Easy
- If \(x_1\) and \(x_2\) are the real roots of the equation \(x^2-k x+c=0\), then the distance between the points \(A\left(x_1, 0\right)\) and \(B\left(x_2, 0\right)\) isTS EAMCET 2014 Easy
- If the function \(f: R \rightarrow R\) defined by \[ f(x)=\left\{\begin{array}{cc} a\left(\frac{1-\cos 2 x}{x^2}\right), & \text { for } x < 0 \ \frac{b}{x} & \text { for } x=0 \ \frac{\sqrt{x}}{\sqrt{4+\sqrt{x}}-2}, & \text { for } x>0 \end{array}\right. \] Is continuous at \(x=0\), then \(a+b=\)TS EAMCET 2019 Medium
- In a \(\triangle A B C\), if \(\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}\), then \(\triangle A B C\) isTS EAMCET 2011 Medium
- A tower, of \(x\) metres high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant \(y\) metres from the foot of the tower. Then, the length of the flagstaff (in metres), isTS EAMCET 2005 Hard
More PYQs from TS EAMCET
- The line \(4 x-3 y+2=0\) intersects the circle \(x^2+y^2-2 x+6 y+c=0\) at two points A, B and \(\mathrm{AB}=8\). If \((1, \mathrm{k})\) is a point on the given circle and \(\mathrm{k}>0\), then \(\mathrm{k}=\)TS EAMCET 2025 Medium
- A cup of coffee cools from \(150^{\circ} \mathrm{F}\) to \(144^{\circ} \mathrm{F}\) in \(1 \mathrm{~min}\) in a room temperature at \(72^{\circ} \mathrm{F}\). How much time with the coffee take to cool from \(110^{\circ} \mathrm{F}\) to \(104^{\circ} \mathrm{F}\) in the same room?TS EAMCET 2019 Easy
- If the velocity of light \(C\), the gravitational constant \(G\) and Planck's constant \(h\) are chosen as the fundamental units, the dimension of density in the new system isTS EAMCET 2022 Hard
- If \(m_1, m_2, m_3\) and \(m_4\) respectively denote the moduli of the complex numbers \(1+4 i, 3+i, 1-i\) and \(2-3 i\), then the correct one, among the following isTS EAMCET 2008 Hard
- The term independent of \(x\) in the expansion of \(\left(x-\frac{2}{\sqrt{x}}\right)^{21}\) isTS EAMCET 2021 Easy
- When sodium metal is dissolved in liquid ammonia , it imparts a blue colour to the solution. This blue coloration is due to:TS EAMCET 2018 Easy