AP EAMCET · Maths · Pair of Lines
If \(\theta\) is the angle between the lines \(x^2+2 h x y+b y^2=0\), then the angle between \(x^2+2 x y \sec \theta+y^2=0\) is
- A \(\theta\)
- B \(2 \theta\)
- C \(\frac{\theta}{2}\)
- D \(3 \theta\)
Answer & Solution
Correct Answer
(A) \(\theta\)
Step-by-step Solution
Detailed explanation
Given \(\theta\) is the angle between the lines \(x^2+2 h x y+b y^2=0\) To find Angle between \(x^2+2 x y \sec \theta+y^2=0\) Since, we know that angle between the line \(a x^2+2 h x y+b y^2=0\) is \(\tan \theta=\left|\frac{2 \sqrt{h^2-a b}}{a+b}\right|\) Here, \(\quad a=1\)…
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
- The value of the series \(\cos 12^{\circ}+\cos 84^{\circ}\) \(+\cos 132^{\circ}+\cos 156^{\circ}\) isAP EAMCET 2004 Easy
- Area of the triangle formed by the complex numbers \(\mathrm{z}, \mathrm{iz}\) and \(\mathrm{z}+\mathrm{iz}\) in the Argand diagram as vertices isAP EAMCET 2022 Medium
- If \(x^3+y^3=3 a x y\), then at \(\left(\frac{3 a}{2}, \frac{3 a}{2}\right)\) the value of \(3 a y^{\prime \prime}+40\) isAP EAMCET 2023 Easy
- The shortest distance between the skew lines \(\vec{r}=(2 \hat{i}-\hat{j})+t(\hat{i}+2 \hat{k})\) and \(\vec{r}=(-2 \hat{i}+\hat{k})+s(\hat{i}-\hat{j}-\hat{k})\) isAP EAMCET 2024 Easy
- \(\frac{x-1}{3 x+4} < \frac{x-3}{3 x-2}\) holds, for all \(\mathrm{x}\) in the intervalAP EAMCET 2017 Easy
- \(\int_0^\pi \frac{\cos x}{\sqrt{1-\sin ^2 x}} d x=\)AP EAMCET 2023 Medium
More PYQs from AP EAMCET
- A light of intensity incidents on a black surface of area . The radiation pressure on the surface isAP EAMCET 2022 Medium
- At \(\mathrm{T}(\mathrm{K})\), the following gaseous equilibrium is established.
\(\mathrm{W}+\mathrm{X} \rightleftharpoons \mathrm{Y}+\mathrm{Z}\)
The initial concentration of W is two times to the initial concentration of X. The system is heated to \(\mathrm{T}(\mathrm{K})\) to establish the equilibrium. At equilibrium the concentration of Y is four times to the concentration of X. What is the value of \(\mathrm{K}_{\mathrm{c}}\) ?AP EAMCET 2025 Medium - When the current through an inductor is changed at from \(2 \mathrm{~A}\) to \(6 \mathrm{~A}\) in time \(2 \mathrm{~s}\), emf induced in it is \(3 \mathrm{~V}\). Then the inductance of the inductor isAP EAMCET 2023 Easy
- If \(P\) is a point such that the ratio of the square of the lengths of the tangents from \(P\) to the circles \(x^2+y^2+2 x-4 y-20=0\) and \(x^2+y^2-4 x+2 y-2 y-44=0\) is \(2: 3\), then the locus of \(P\) is a circle with centre :AP EAMCET 2003 Medium
- The amphoteric oxide of Vanadium (V) reacts with alkali and forms an oxoion ' X ' and with acid forms an oxoion Y. The oxidation states of ' V ' in X and Y are respectivelyAP EAMCET 2025 Medium
- The number of ways in which \(n\) distinct objects can be put into two different boxes isAP EAMCET 2021 Medium