AP EAMCET · Maths · Pair of Lines
The angle between lines represented by \(\left(\sin ^2 \alpha\right) y^2-2 x y\left(\cos ^2 \alpha\right)+\left(\cos ^2 \alpha-1\right) x^2=0\) is
- A \(2 \alpha\)
- B \(\alpha\)
- C \(90^{\circ}\)
- D \(45^{\circ}\)
Answer & Solution
Correct Answer
(C) \(90^{\circ}\)
Step-by-step Solution
Detailed explanation
Pair of straight lines \[ \left(\sin ^2 \alpha\right) y^2-2 x y \cos ^2 \alpha+\left(\cos ^2 \alpha-1\right) x^2=0 \] Standard form…
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 three lines given by the combined equation \(y^3-4 x^2 y=0\) representsAP EAMCET 2021 Medium
- If \(\quad d x+d y=(x+y)(d x-d y), \quad\) then \(\log (x+y)\) is equal toAP EAMCET 2005 Easy
- The variance of the ungrouped data \(2,12,3,11,5,10,6,7\) isAP EAMCET 2025 Medium
- \(\int \tan ^{-1}\left(1-x+x^2\right) d x+\int \tan ^{-1}(x) d x+\int \tan ^{-1}(1-x) d x=\)AP EAMCET 2022 Hard
- Let \(M\) be the foot of the perpendicular from a point \(P\) on the parabola \(y^2=8(x-3)\) onto its directrix and let \(S\) be the focus of the parabola. If \(\triangle S P M\) is an equilateral triangle, then \(P\) is equal toAP EAMCET 2010 Hard
- When the roots of \(x^3+\alpha x^2+\beta x+6=0\) are increased by 1, if one of the resultant values is the least root of \(x^4-6 x^3+11 x^2-6 x=0\), thenAP EAMCET 2025 Hard
More PYQs from AP EAMCET
- Which of the following enzymatic reaction is not correctly matched with enzyme shown against it in brackets?AP EAMCET 2025 Easy
- The number of solutions of the equation \(\sin \left[2 \operatorname{Cos}^{-1}\left\{\cot \left(2 \operatorname{Tan}^{-1} x\right)\right\}\right]=0\) isAP EAMCET 2017 Medium
- A satellite moving round the earth in a circular orbit has kinetic energy ' \(E\) '. Then, the minimum amount of energy to be added so that it escapes from the earth.AP EAMCET 2024 Easy
- In the expansion of \(\frac{2 x+1}{(1+x)(1-2 x)}\), the sum of the coefficients of the first 5 odd powers of \(x\) isAP EAMCET 2024 Medium
- If \(\alpha, \beta, \gamma\) are any three angles, then \(\cos \alpha+\cos \beta-\cos \gamma-\cos (\alpha+\beta+\gamma)=\)AP EAMCET 2018 Medium
- The number of non-negative integral solutions of \(\mathrm{x}_1+\mathrm{x}_2+\mathrm{x}_3+\mathrm{x}_4=10\) isAP EAMCET 2023 Easy