TS EAMCET · Maths · Straight Lines
The lines \(x+y+4=0, x-2 y-4=0\) and \(3 x+4 y-2=0\)
- A are concurrent
- B form an isosceles triangle
- C form a right-angled triangle
- D form a scalene triangle
Answer & Solution
Correct Answer
(D) form a scalene triangle
Step-by-step Solution
Detailed explanation
\(x+y+4=0\) and \(x-2y-4=0 \Rightarrow x=2y+4\) \((2y+4)+y+4=0 \Rightarrow 3y+8=0 \Rightarrow y=-8/3\) \(x=2(-8/3)+4 = -16/3+12/3 = -4/3\). Vertex 1: \(P_1(-4/3, -8/3)\) \(x+y+4=0\) and \(3x+4y-2=0 \Rightarrow y=-x-4\)…
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
- Assertion (A) If \(|x| < 1\), then \[ \sum_{n=0}^{\infty}(-1)^n x^{n+1}=\frac{x}{x+1} \] Reason (R) If \(|x| < 1\), then \((1+x)^{-1}\) \[ =1-x+x^2-x^3+\ldots \] Which one of the following is true?TS EAMCET 2019 Medium
- If \(\quad f:[-2,2] \rightarrow R \quad\) is defined by \(f(x)=\left\{\begin{array}{cc}\frac{\sqrt{1+c x}-\sqrt{1-c x}}{x} & \text { for }-2 \leq x < 0 \ \frac{x+3}{x+1} & \text { for } 0 \leq x \leq 2\end{array}\right.\) continuous on \([-2,2]\), then \(c\) is equal toTS EAMCET 2014 Medium
- \(\int_0^{32 \pi} \sqrt{1-\cos 4 x} d x=\)TS EAMCET 2024 Hard
- Let \(f\) be a non-zero real valued continuous function satisfying \(f(x+y)=f(x) \cdot f(y)\) for all \(x, y \in \mathbb{R}\). If \(f(2)=9\), then \(f(6)\) is equal toTS EAMCET 2013 Easy
- \(\frac{d}{d x}\left[\operatorname{cosech}^{-1}(\tan 2 x)\right]=\)TS EAMCET 2020 Easy
- If \(\frac{3 \pi}{2} < x < \frac{5 \pi}{2}\) and \(\int(\sqrt{1-\sin x}+\sqrt{1+\sin x})\) \(\mathrm{dx}=\mathrm{f}(\mathrm{x})+\mathrm{c}\) where \(\mathrm{c}\) is the constant of integration, then \(\mathrm{f}\left(\frac{\pi}{3}\right)-\mathrm{f}(0)=\)TS EAMCET 2023 Medium
More PYQs from TS EAMCET
- An organic compound ' \(X\) ' on treatment with pyridinium chloro chromate in dichloromethane gives compound ' \(Y\) '. Compound ' \(Y\) ', reacts with \(\mathrm{I}_2\) and alkali to form triiodomethane. The compound ' \(X\) ' isTS EAMCET 2007 Hard
- One of the roots of the equation \(x^{14}+x^9-x^5-1=0\) isTS EAMCET 2024 Easy
- Acid hydrolysis of \(X\) yields two different organic compounds. Which one of the following is \(X\) ?TS EAMCET 2003 Easy
- oxidises oxalic acid in acidic medium. The number of molecules produced per mole of isTS EAMCET 2021 Hard
- The set of all values of \(x\) and the set of all values of \(a\) for which the real valued function \(f(x)=\sqrt{\log _a(x-[x])}\) is defined are respectivelyTS EAMCET 2018 Easy
- \(\left(\mathrm{CH}_3\right)_3 \mathrm{CH} \xrightarrow{\mathrm{KMnO}_4} \mathrm{X} \xrightarrow[573 \mathrm{~K}]{\mathrm{Cu}} \mathrm{Y}\)
The number of \(\mathrm{sp}^3\) and \(\mathrm{sp}^2\) carbons in Y are respectivelyTS EAMCET 2025 Medium