AP EAMCET · Maths · Pair of Lines
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 a
- A square but not rhombus
- B rhombus
- C parallelogram
- D rectangle but not a square
Answer & Solution
Correct Answer
(C) parallelogram
Step-by-step Solution
Detailed explanation
Given pair of lines are \(x^2-3 x y+2 y^2=0\) and \(\begin{array}{ll} & x^2-3 x y+2 y^2+x-2=0 . \\ \therefore & (x-2 y)(x-y)=0 \end{array}\)…
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 \(A=\left[\begin{array}{ccc}-1 & x & -3 \\ 2 & 4 & z \\ y & 5 & -6\end{array}\right]\) is a symmetric matrix and \(B=\left[\begin{array}{ccc}0 & 2 & q \\ p & 0 & -4 \\ -3 & r & s\end{array}\right]\) is a skew symmetric matrix, then \(|A|+|B|-|A B|=\)AP EAMCET 2025 Medium
- If \(\left(\frac{\cos \theta+i \sin \theta}{\sin \theta+i \cos \theta}\right)^{2024}+\left(\frac{1+\cos \theta+i \sin \theta}{1-\cos \theta+i \sin \theta}\right)^{2025}=x+i y\), then the value of \(x+y\) at \(\theta=\frac{\pi}{2}\) isAP EAMCET 2025 Medium
- The general solution of \(4 \cos 2 x-4 \sqrt{3} \sin 2 x+\cos 3 x-\) \(\sqrt{\sin 3 x+\cos x-\sqrt{3} \sin x}=0\)AP EAMCET 2024 Medium
- For \(n \in N\), what is the value of \(1+4+7+\cdots+(3 n-2)\)AP EAMCET 2020 Easy
- If the straight lines \(2 x-y+1=0\), \(4 x+y+2=0\) and \(x+y-k=0\) are concurrent, then \(k\) equalsAP EAMCET 2021 Easy
- If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then \(\mathrm{n}: \mathrm{m}=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- The acute angle between the lines whose direction cosines are given by the equations \(l+m+n=0\) and \(2 l m+2 l n-m n=0\) isAP EAMCET 2018 Medium
- The validity of Freundlich isotherm can be verified by plottingAP EAMCET 2024 Easy
- If \(x^x y^y=e^e\), then \(\left(\frac{d^2 y}{d x^2}\right)_{(e, e)}=\)AP EAMCET 2023 Medium
- The parabola with focus at \((4,-3)\) and vertex at \((4,-1)\) isAP EAMCET 2022 Easy
- Two uniform stretched steel strings \(A\) and \(B\) are vibrating under the same tension. The first overtone of \(A\) is equal to the second overtone of \(B\). If the radius of \(A\) is twice that of \(B\), then the ratio of the lengths of the strings isAP EAMCET 2018 Medium
- At , dinitrogen tetroxide is fifty percent dissociated. Find its standard free energy change at this temperature and one atmosphere. [ Given: ]AP EAMCET 2021 Medium