TS EAMCET · Maths · Circle
If \((4,2)\) and \((k,-3)\) are conjugate points with respect to \(x^2+y^2-5 x+8 y+6=0\), then \(k\) equals
- A \(\frac{28}{3}\)
- B \(-\frac{28}{3}\)
- C \(\frac{3}{28}\)
- D \(-\frac{3}{28}\)
Answer & Solution
Correct Answer
(A) \(\frac{28}{3}\)
Step-by-step Solution
Detailed explanation
Equation of polar of point \((4,2)\) w.r.t. circle \[ \begin{aligned} & x^2+y^2-5 x+8 y+6=0 \text { is } T=0 \text {. } \\ & \therefore 4 x+2 y-\frac{5}{2}(x+4)+4(y+2)+6=0 \\ & \Rightarrow \quad 3 x+12 y+8=0 \\ & \end{aligned} \] Since, points \((4,2)\) and \((k,-3)\) are…
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 \(\mathbf{a}=2 \hat{\mathbf{j}}-3 \hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathbf{c}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\) are three vectors, then \(|(\mathbf{a} \times \mathbf{b}) \times \mathbf{c}|=\)TS EAMCET 2019 Easy
- Let \(\alpha\) be a common root of the equations \(x^3-2 x-25 \lambda=0\), \(3 x^3-8 x-\frac{175}{3} \lambda=0\) and \(\lambda>0\). Then \(\lambda=\)TS EAMCET 2022 Medium
- If \(f: R /\{0\} \rightarrow R\) is such that \(2 f(x)+f\left(\frac{1}{x}\right)=4 x\) and \(S=\{x \in R: f(x)=f(-x)\}\), then the number of elements in \(S\) isTS EAMCET 2021 Easy
- The period of \(\tan k y+\sin k y\), where \(k=1+4+9+\ldots 20\) terms, isTS EAMCET 2021 Easy
- The equation of the straight line perpendicular to the straight line \(3 x+2 y=0\) and passing through the point of intersection of the lines \(x+3 y-1=0\) and \(x-2 y+4=0\) isTS EAMCET 2009 Easy
- The solution of the differential equation \(3 x y^4-3 y+\left(x^2-y^2\right)^{1 / 2}=0\), satisfying the condition \(y(1)=1\) isTS EAMCET 2016 Medium
More PYQs from TS EAMCET
- The half-life of \({ }_{84}^{209} \mathrm{P}_0\) is 103 years. The time it takes for \(100 \mathrm{~g}\) sample of \({ }_{84}^{209} \mathrm{P}_0\) to decay to 3.125 \(\mathrm{g}\) isTS EAMCET 2018 Easy
- Moment of inertia of a uniform horizontal solid cylinder of mass \(M\) about an axis passing through its edge and perpendicular to the axis of the cylinder when its length is 6 times its radius \(R\) isTS EAMCET 2002 Medium
- The set of all values of \(\mathrm{x}\) for which the inequalities \(\mathrm{x}^2-7 \mathrm{x}+10 \geq 0\) and \(2 \mathrm{x}+3-\mathrm{x}^2>0\) hold simultaneously isTS EAMCET 2023 Medium
- If the sum of two of the roots of \(x^3+p x^2-q x+r=0\) is zero, then \(p q\) is equal toTS EAMCET 2003 Easy
- Consider an ideal gas in a closed container at The container is then heated so that the average velocity of particles of the gas increases by a factor of What would be the final temperature?TS EAMCET 2021 Medium
- If \(x \log x \frac{d y}{d x}+y=\log x^2\) and \(y(e)=0\), then \(y\left(e^2\right)=\)TS EAMCET 2019 Hard