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
- The maximum value of the modulus of \(e^{z^2}\) on the set \(\{z \in C / 0 \leq \operatorname{Re}(z) \leq 1,0 \leq \operatorname{Im}(z) \leq 1\}\) isAP EAMCET 2018 Medium
- The equations \(x-y=4\) and \(x^2+4 x y+y^2=0\) represent the sides of a/anAP EAMCET 2020 Hard
- The area (in sq.units) of the region bounded by the parabolas \(y^2=4 x\) and \(y^2=4(4-x)\) isAP EAMCET 2017 Medium
- By simplifying \(i^{18}-3 i^7+i^2\left(1+i^4\right)(i)^{22}\), we getAP EAMCET 2022 Easy
- \(\int \frac{3 e^x-7 e^{-x}}{7 e^x+3 e^{-x}} d x=K x+L \log \left(e^{-2 x}+\frac{7}{3}\right)+C\)
then \(K+L=\)AP EAMCET 2022 Hard - If a system of circles pass through \((2,3)\) and cuts the circle \(x^2+y^2=12\) orthogonally, then the equation of the locus of the centres of that system of circles, isAP EAMCET 2018 Medium
More PYQs from AP EAMCET
- If the curves \(y^2=16 x\) and \(9 x^2+\alpha y^2=25\) intersect at right angles, then \(\alpha=\)AP EAMCET 2025 Medium
- The solubility of barium phosphate of molar mass ' M ' g \(\mathrm{mol}^{-1}\) in water is \(x \mathrm{~g}\) per 100 mL at 298 K . Its solubility product is \(1.08 \times\left(\frac{x}{M}\right)^a \times(10)^{\mathrm{b}}\). The values of \(a\) and \(b\) respectively areAP EAMCET 2024 Medium
- \(\begin{aligned} & 1+x \log _e a+\frac{x^2}{2 !}\left(\log _e a\right)^2 \\ & +\frac{x^3}{3 !}\left(\log _e a\right)^3+\ldots(a>0, x \in R) \text { is equal to }\end{aligned}\)AP EAMCET 2002 Hard
- If a parabola passess through the points \((-2,1)\), \((1,2)\) and \((-1,3)\) having horizontal axis, then the length of the latus rectum of that parabola isAP EAMCET 2018 Medium
- Match the following
Reactants
(A) \(\mathrm{C}_2 \mathrm{H}_5 \mathrm{Cl}\), moist \(\mathrm{Ag}_2 \mathrm{O}\)
(B) \(\mathrm{C}_2 \mathrm{H}_5 \mathrm{Cl}\), aqueous ethanolic \(\mathrm{AgCN}\)
Products
(i) \(\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{ONO}\)
(ii) \(\mathrm{C}_2 \mathrm{H}_4\)
aqueous (iii) \(\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{OH}\) ethanolic \(\mathrm{AgNO}_2\)
(D) \(\mathrm{C}_2 \mathrm{H}_5 \mathrm{Cl}\), ethanolic (iv) \(\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{NC}\) \(\mathrm{KOH}\)
(v) \(\mathrm{C}_2 \mathrm{H}_6\)
The correct match isAP EAMCET 2007 Medium - If the incentre of the triangle formed by the lines \(x-2=0, x+y-1=0\), \(x-y+3=0\) is \((\alpha, \beta)\), then \(\beta=\)AP EAMCET 2025 Medium