AP EAMCET · Maths · Circle
Two straight rods of lengths \(2 a\) and \(2 b\) move along the coordinate axes in such a way that their extremities are always concyclic. Then the locus of the centres of such circles is
- A \(2\left(x^2+y^2\right)=a^2+b^2\)
- B \(2\left(x^2-y^2\right)=a^2+b^2\)
- C \(x^2+y^2=a^2+b^2\)
- D \(x^2-y^2=a^2-b^2\)
Answer & Solution
Correct Answer
(D) \(x^2-y^2=a^2-b^2\)
Step-by-step Solution
Detailed explanation
According to given information, if we draw the figure. Let the equation of circle is…
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 \(y=\frac{\log _e x}{x}\) and \(z=\log _e x\), then \(\frac{d^2 y}{d z^2}+\frac{d y}{d z}\) is equal toAP EAMCET 2011 Easy
- If \(x=\frac{2}{5}+\frac{1 \cdot 3}{2 !}\left(\frac{2}{5}\right)^2+\frac{1 \cdot 3 \cdot 5}{3 !}\left(\frac{2}{5}\right)^3+\ldots\), then \(x+\frac{1}{x}=\)AP EAMCET 2019 Medium
- \(\lim _{x \rightarrow 0} \frac{6^x-3^x-2^x+1}{x^2}\) is equal toAP EAMCET 2016 Easy
- Mean of the values . is______AP EAMCET 2021 Medium
- One line of the pair of lines \(x^2+x y-2 y^2=0\) is perpendicular to one line of the pair of lines \(3 y^2-5 x y-2 x^2=0\). If the combined equation of the two lines other than those two perpendicular lines is \(a x^2+2 h x y+b y^2=0\), then \(a+2 h+b=\)AP EAMCET 2025 Hard
- An electronic assembly consists of two subsystems \(A\) and \(B\). Past testing procedures data show that probabilities of failure are \(P(A\) fails \()=0.2, P(B\) fails alone \()=0.15\), \(P(A \& B\) fail \()=0.15\). Then the probability that \(A\) fails alone is equal toAP EAMCET 2020 Easy
More PYQs from AP EAMCET
- A square frame of side \(1 \mathrm{~m}\) carrying a current \(I\) produces a magnetic field \(B\) at its centre. The same current is passed through a circular coil having the same perimeter as the square. The magnetic field at the centre of the circular coil is \(B^{\prime}\). The ratio of \(\frac{B}{B^{\prime}}\) isAP EAMCET 2021 Medium
- A particle is placed at rest inside a hollow hemisphere of radius \(R\). The coefficient of friction between the particle and the hemisphere is \(\mu=\frac{1}{\sqrt{3}}\). The maximum height upto which the particle can remain stationary isAP EAMCET 2016 Medium
- The equation of a tangent to the circle \(x^2+y^2+2 x-12 y\) \(-132=0\) which is perpendicular to the line \(12 x+5 y+k=0\) isAP EAMCET 2023 Hard
- A monatomic gas of volume ' \(\mathrm{V}\) ' and pressure ' \(\mathrm{P}\) ' expands isothermally to a volume ' \(27 \mathrm{~V}\) ' and then compressed adiabatically to a volume ' \(\mathrm{V}\) '. The final pressure of the gas isAP EAMCET 2023 Hard
- A metallic solid undergoes Frenkel defect. Its original mass, volume and density are \(M_0, V_0\) and \(D_0\) respectively. After Frenkel defect the mass, volume and density are \(M, V\) and \(D\) respectively. The variations of \(M, V\) and \(D\) after Frenkel defect areAP EAMCET 2020 Medium
- The \(\mathrm{P}-\mathrm{P}-\mathrm{P}\) bond angle in \(\mathrm{P}_4\) and \(\mathrm{S}-\mathrm{S}-\mathrm{S}\) bond angle in cyclo \(\mathrm{S}_8\) molecule are respectivelyAP EAMCET 2023 Medium