AP EAMCET · Maths · Hyperbola
If \(2 x-k y+3=0,3 x-y+1=0\) are conjugate lines with respect to \(5 x^2-6 y^2=15\), then \(k=\)
- A 6
- B 4
- C 3
- D 2
Answer & Solution
Correct Answer
(A) 6
Step-by-step Solution
Detailed explanation
We know that, If two lines \(l_1 x+m_1 y+n_1=0\) and \(l_2 x+m_2 y+n_2=0\) are conjugate lines with respect to the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1 \text {, then } a^2 l_1 l_2-b^2 m_1 m_2=n_1 n_2\) For hyperbola,…
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 are the real roots of and are the roots of then the equation has alwaysAP EAMCET 2019 Easy
- If the function \(f(x)\), defined below, is continuous everywhere, then \(k\) equals \(f(x)=\left\{\begin{array}{cc}\frac{2^x-1}{\sqrt{1+x}-1}, & -1 \leq x < \infty \\ k, & x=0\end{array}\right.\)AP EAMCET 2021 Medium
- If a directrix of a hyperbola centred at the origin and passing through the point \((4,-2 \sqrt{3})\) is \(\sqrt{5} x=4\) and \(e\) is its eccentricity, then \(e^2=\)AP EAMCET 2024 Easy
- The distance between the parallel lines \(9 x^2-6 x y+y^2+18 x-6 y+8=0\) isAP EAMCET 2020 Medium
- \(\cos A \cos 2 A \cos 4 A \ldots \cos 2^{n-1} A\) equalsAP EAMCET 2009 Easy
- If \(Q\) is the inverse of \(A\), when \(A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right]\) and \(10 \times Q=\left[\begin{array}{ccc}4 & 2 & 2 \\ -5 & 0 & x \\ 1 & -2 & 3\end{array}\right]\), find \(x=\)AP EAMCET 2020 Easy
More PYQs from AP EAMCET
- What is the conjugate base of chloric acid?AP EAMCET 2024 Easy
- When compound \(X\) is oxidised by acidified potassium dichromate, compound \(Y\) is formed. Compound \(Y\) on reduction with \(\mathrm{LiAlH}_4\) gives \(X . X\) and \(Y\) respectively are :AP EAMCET 2006 Medium
- The formal charges of atoms and in the ion isAP EAMCET 2022 Medium
- In \(\triangle \mathrm{ABC}\), if \(\mathrm{a}^2 \sin ^2 \frac{\mathrm{C}}{2}+\mathrm{c} \sin ^2 \frac{\mathrm{A}}{2}=\frac{\mathrm{b}}{2}\), then \(\mathrm{a}+\mathrm{c}: \mathrm{b}=\)AP EAMCET 2023 Easy
- The integrating factor of the linear directional equation \(\frac{d y}{d x}+P(x) y=Q(x)\) is a solution of the differential equationAP EAMCET 2022 Medium
- If only \(\frac{I^{\text {th }}}{51}\) of the main current is to be passed through a galvanometer then the shunt required is \(R_1\) and if only \(\frac{1^{\text {th }}}{11}\) of the main voltage is to be developed across the galvanometer, then the resistance required \(R_2\). Then \(\frac{R_2}{R_1}\)AP EAMCET 2019 Medium