AP EAMCET · Maths · Circle
Which circle among the following bisects the circumference of the circle \(x^2+y^2-8 x-6 y+23=0\) ?
- A \(x^2+y^2-6 x-4 y+9=0\)
- B \(x^2+y^2+6 x+4 y-9=0\)
- C \(x^2+y^2-6 x+4 y-9=0\)
- D \(x^2+y^2+6 x-4 y+9=0\)
Answer & Solution
Correct Answer
(A) \(x^2+y^2-6 x-4 y+9=0\)
Step-by-step Solution
Detailed explanation
Given circle, \[ x^2+y^2-8 x-6 y+23=0 \] Centre of this circle is \((4,3)\). If the equation of radical axis of circle \(S_1\) and \(S_2\) passes through \((4,3)\), then \(S_2\) bisect the circumference of \(S_1\). Option (a) Let \(S_2=x^2+y^2-6 x-4 y+9=0\) Then, equation of…
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 \([x]\) denotes the greatest integer function on \(x\), then the number of positive integral divisors of \(\left[(2+\sqrt{3})^5\right]\) isAP EAMCET 2020 Easy
- If a random variable \(X\) has the probability distribution given by \(P(X=0)=3 C^3\), \(P(X=2)=5 C-10 C^2\) and \(P(X=4)=4 C-1\), then the variance of that distribution isAP EAMCET 2019 Medium
- If the tangent of the curve \(4 y^3=3 a x^2+x^3\) drawn at the point \((a, a)\) forms a triangle of area \(\frac{25}{24}\) sq.units with the coordinate axes then \(\mathrm{a}=\)AP EAMCET 2025 Medium
- For any real number \(\lambda \neq 1\), the centre of the circle that passes through \(\mathrm{A}(1, \lambda), \mathrm{B}(\lambda, 1)\) and \((\lambda, \lambda)\) isAP EAMCET 2022 Easy
- If the vector \(\overline{\mathrm{i}}-7 \overline{\mathrm{j}}+2 \overline{\mathrm{k}}\) is along the internal bisector of the angle between the vectors \(\bar{a}\) and \(-2 \bar{i}-\bar{j}+2 \bar{k}\) and the unit vector along \(\bar{a}\) is \(x \bar{i}+y \bar{j}+z \bar{k}\) then \(\mathrm{x}=\)AP EAMCET 2025 Medium
- If the length of the intercept made on the line \(y=a x\) by the lines \(y=2\) and \(y=6\) is less than 5AP EAMCET 2020 Easy
More PYQs from AP EAMCET
- \(\int_0^{\pi / 2} \frac{1}{1+\tan ^{2020}(x)} d x=\)AP EAMCET 2020 Medium
- The area of the triangle formed by the pair of lines \(23 x^2-\) \(48 x y+3 y^2=0\) with the line \(2 x+3 y+5=0\) isAP EAMCET 2024 Medium
- Four resistors \(A, B, C\) and \(D\) form a Wheatstone bridge as shown in the figure. The bridge is balanced when \(C=100 \Omega\). If \(A\) and \(B\) are interchanged, the bridge balances for \(C=121 \Omega\). The value of \(D\) is
AP EAMCET 2019 Easy - If \(y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots . \infty}}}\) then the value of \(\frac{d^2 y}{d x^2}\) at the point \((\pi, 1)\) isAP EAMCET 2024 Easy
- The magnitude of the external force acting on moving bodies can be known directly byAP EAMCET 2023 Easy
- Hydrogen gas is undergoing a process given by \(\mathrm{PV}^2=\) constant. The ratio of work done by the gas to the change in its internal energy isAP EAMCET 2018 Medium