AP EAMCET · Maths · Circle
If the lines \(k x+2 y-4=0\) and \(5 x-2 y-4=0\) are conjugate with respect to the circle \(x^2+y^2-2 x-2 y+1=0\), then \(k\) is equal to
- A \(0\)
- B \(1\)
- C \(2\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
The lines \(k x+2 y-4=0\) and \(5 x-2 y-4=0\) are conjugate with respect to the circle \(x^2+y^2-2 x-2 y+1=0\) Then, necessary condition \(\begin{aligned} & r^2\left(a_1 a_2+b_1 b_2\right)=\left(a_1 g+b_1 f-c_1\right) \\ & \left(a_2 g+b_2 f-c_2\right) \end{aligned}\) From the…
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
- A point on the straight line \(3 x+5 y=15\) which is equidistant from the coordinate axes will lie inAP EAMCET 2023 Medium
- If and then consider the following statements:
Then which one of the following options is true?AP EAMCET 2018 Hard - If \(\quad f(0)=0, f(1)=1, f(2)=2 \quad\) and \(f(x)=f(x-2)+f(x-3)\) for \(x=3,4,5, \ldots\), then \(f(9)\) is equal toAP EAMCET 2010 Medium
- \(a, b, c, d\) are real numbers. The general solution of \(\frac{d y}{d x}=\frac{a x+b}{c y+d}\) represents a family of straight lines, whenAP EAMCET 2022 Easy
- The pairs of straight lines \(x^2-3 x y+2 y^2=0\) and \(x^2-3 x y+2 y^2+x-2=0\) form aAP EAMCET 2009 Hard
- If the origin is shifted to remove the first degree terms from the equation \(2 x^2-3 y^2+4 x y+4 x+4 y-14=0\) then, with respect to this new co-ordinate system, the transformed equation of \(x^2+y^2-3 x y+4 y+3=0\) isAP EAMCET 2024 Medium
More PYQs from AP EAMCET
- The area of the parallelogram for which the vectors \(\hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(3 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) are adjacent sides is equal toAP EAMCET 2021 Medium
- An element has \([\mathrm{Ar}] 3 d^1\) configuration in its +2 oxidation state. Its position in the periodic table isAP EAMCET 2016 Medium
- In lanthanides, with increase in atomic number atomic radius decreases, except for the element \(\underline{X}\). What is \(\underline{X}\) ?AP EAMCET 2018 Easy
- A person is known to speak truth in 3 out of 5 times. If he throws a die and reports that it is six, then the probability that it is actually six, isAP EAMCET 2018 Medium
- Find \(|\mathbf{a} \times \mathbf{b}|^2\), if \(|\mathbf{a}|=2,|\mathbf{b}|=3\) and \((\mathbf{a}, \mathbf{b})=\frac{\pi}{6}\)AP EAMCET 2020 Easy
- If one root of the cubic equation \(x^3+36=7 x^2\) is double of another, then the number of negative roots areAP EAMCET 2022 Medium