TS EAMCET · Maths · Circle
Let \(S \equiv x^2+y^2-8 x+10 y+5=0\) be a circle. Let \(P(1,1)\) and \(\mathrm{Q}(1,-1)\) be two points. Then the point of intersection of the polar of \(\mathrm{P}\) with respect to \(\mathrm{S}=0\) and the chord with \(\mathrm{Q}\) as mid-point to \(\mathrm{S}=0\) is
- A \((2,2)\)
- B \((11,13 / 2)\)
- C \((-4,-1)\)
- D \((5,7 / 2)\)
Answer & Solution
Correct Answer
(B) \((11,13 / 2)\)
Step-by-step Solution
Detailed explanation
\(S: x^2+y^2-8 x+10 y+5=0\) \(\therefore \quad\) Equation of polar of \(P\) w.r.t. \(S=0, T=0\) \[ \begin{aligned} & \Rightarrow 1(x)+1(y)-4(x+1)+5(y+1)+5=0 \\ & \Rightarrow-3 x+6 y+6=0 \end{aligned} \] \(\Rightarrow 3 x-6 y-6=0\) ...(1) Equation of chord with \(Q\) as mid point…
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 \(x \sqrt{1+y}+y \sqrt{1+x}=0\), then \(\frac{d y}{d x}=\)TS EAMCET 2020 Easy
- 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 \(O, A, B\) isTS EAMCET 2002 Easy
- In a \(\triangle A B C, \Sigma(b+c) \tan \frac{A}{2} \tan \left(\frac{B-C}{2}\right)\) is equal toTS EAMCET 2005 Medium
- \(p\) and \(q\) are two roots of the equation \(x^2+7 x+3=0\). If \(\frac{3 p}{1-2 p}, \frac{3 q}{1-2 q}\) are the roots of \(l x^2+m x+n=0\) and the greatest common divisor of \(l, m, n\) is 1 , then \(l-m+n=\)TS EAMCET 2020 Medium
- The area (in sq units) of the triangle whose vertices are the points represented by the complex numbers \(0, z\), \(z e^{i \alpha}(0 < \alpha < \pi)\) isTS EAMCET 2018 Easy
- If \(P=(0,1,0), Q=(0,0,1)\), then the projection of \(P Q\) on the plane \(x+y+z=3\) isTS EAMCET 2002 Medium
More PYQs from TS EAMCET
- The equation which represents the system of parabolas whose axis is parallel to \(y\)-axis satisfies the differential equationTS EAMCET 2025 Medium
- The melting point of o-hydroxybenzaldehyde \((\mathrm{A})\) is lower than that of p-hydroxybenzaldehyde (B). This is becauseTS EAMCET 2024 Medium
- In a junction, an electric field of exists in the depletion region. The minimum kinetic energy of a conduction electron, in order to diffuse from -side to the -side, is found to be . The width of the depletion region is,TS EAMCET 2021 Medium
- Which of the following vitamin is also called pyridoxine?TS EAMCET 2024 Easy
- If \(2 x+3 y=5\) is the perpendicular bisector of the line segment joining the points \(A\left(1, \frac{1}{3}\right)\) and \(B\), then \(B\) is equal toTS EAMCET 2013 Medium
- The greatest angle of the triangle whose sides are \(x^2+x+1,2 x+1\) and \(x^2-1\) isTS EAMCET 2018 Easy