AP EAMCET · Maths · Circle
A line is at a constant distance \(c\) from the origin and meets the coordinate axes in \(A\) and \(B\). The locus of the centre of the circle passing through \(O, A, B\) is
- A \(x^2+y^2=c^2\)
- B \(x^2+y^2=2 c^2\)
- C \(x^2+y^2=3 c^2\)
- D \(x^2+y^2=4 c^2\)
Answer & Solution
Correct Answer
(D) \(x^2+y^2=4 c^2\)
Step-by-step Solution
Detailed explanation
Let the equation of the circle be \[ x^2+y^2+2 g x+2 f y+c=0 \] It passes through origin \[ \text { so } c=0 \] Then, the equation of circle is \[ x^2+y^2+2 g x+2 f y=0 \] It also passes through \(A\left(x_1, 0\right)\)…
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 approximate value of \((1.0002)^{3000}\) isAP EAMCET 2002 Medium
- If the equation to the locus of points equidistant from the points \((-2,3),(6,-5)\) is \(a x+b y+c=0\), where \(a>0\), then the ascending order of \(a, b, c\) isAP EAMCET 2015 Easy
- \(\lim _{x \rightarrow \infty}\left(\frac{x+6}{x+1}\right)^{x+4}\) is equal toAP EAMCET 2021 Medium
- If \(y=\sqrt{\frac{x^4 \sqrt{3 x-5}}{\left(x^2-3\right)(2 x-3)}}\), then \(\left(\frac{d y}{d x}\right)_{x=2}=\)AP EAMCET 2025 Medium
- If the eccentricity of a hyperbola is \(\frac{5}{3}\), then the eccentricity of its conjugate hyperbola isAP EAMCET 2018 Medium
- Box \(A\) contains 2 black and 3 red balls, while Box \(B\) contains 3 black and 4 red balls. Out of these two boxes one is selected at random; and the probability of choosing Box \(A\) is double that of Box \(B\). If a red ball is drawn from the selected box, then the probability that it has come from Box \(B\), isAP EAMCET 2005 Medium
More PYQs from AP EAMCET
- How many lone pairs of electrons are present in a hydroxyl ion?AP EAMCET 2020 Easy
- In which one of the following pairs the two species have identical shape, but differ in hybridisation?AP EAMCET 2015 Medium
- Which of the following statements is not correct?AP EAMCET 2019 Easy
- If \(\lim _{x \rightarrow 2} \frac{1+\sqrt{1+4 \log _2 x}}{2+\left(2 x+\sin ^2 x+2 \cos x\right)(2 x-4)}=m\) then \(\mathrm{m}(\mathrm{m}-1)=\)AP EAMCET 2023 Easy
- If \(f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}\) is defined by \(f(x)=x+\frac{1}{x}\) and if \(f^k(x)=[f(x)]^k\) for \(k \geq 1\) then \(f^4(x)-f\left(x^4\right)-4 f^2(x)=\)AP EAMCET 2017 Medium
- \(\int_0^{\pi 6} \cos ^4 3 \theta \cdot \sin ^2 6 \theta d \theta\) equals toAP EAMCET 2014 Medium