TS EAMCET · Maths · Pair of Lines
The equation of the pair of perpendicular lines passing through origin and forming an isosceles triangle with the line \(2 x+3 y=6\), is
- A \(5 x^2-24 x y-5 y^2=0\)
- B \(4 x^2-12 x y-4 y^2=0\)
- C \(6 x^2-5 x y-6 y^2=0\)
- D \(9 x^2+5 x y-9 y^2=0\)
Answer & Solution
Correct Answer
(A) \(5 x^2-24 x y-5 y^2=0\)
Step-by-step Solution
Detailed explanation
Equation of line \(B C\) is \(2 x+3 y=6\). Slope of \(B C=\frac{-2}{3}\)…
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 area (in sq. units) of the triangle formed by the tangent and normal drawn to the curve \(\left(\frac{x}{3}\right)^n+\left(\frac{y}{4}\right)^n=2\) at \((3,4)\) and \(X\)-axis isTS EAMCET 2020 Easy
- \(z=x+i y\) and the point \(P\) represents \(z\) in the Argand plane. If the amplitude of \(\left(\frac{2 z-i}{z+2 i}\right)\) is \(\frac{\pi}{4}\), then the equation of the locus of P isTS EAMCET 2024 Hard
- A bag contains 3 white and 6 red balls. Four balls are drawn at a time randomly. Then the probability of getting at least red balls isTS EAMCET 2022 Medium
- If \(\mathbb{R}-(\alpha, \beta)\) is the range of \(\frac{x+3}{(x-1)(x+2)}\), then the sum of the intercepts of the line \(\alpha x+\beta y+1=0\) on the coordinate axes isTS EAMCET 2023 Medium
- \(\mathrm{B}(2,3), \mathrm{C}(5,-2) . \mathrm{D}(1,-1)\) are three points. If \(\mathrm{A}\) is a variable point such that the area of the quadrilateral \(\mathrm{ABCD}\) is \(10 \mathrm{sq}\). units, then the locus of \(\mathrm{A}\) isTS EAMCET 2022 Hard
- If \(\mathrm{i}=\sqrt{-1}\) then \(\operatorname{Arg}\left[\frac{(1+\mathrm{i})^{2025}}{(1-\mathrm{i})^{2022}}\right]=\)TS EAMCET 2023 Medium
More PYQs from TS EAMCET
- The foot of the perpendicular drawn from the point \((1,1,1)\) to the plane \(\pi_1\) is \((1,3,5)\). If \((2,2,-1),(3,4,2),(3,3,0)\) are three points on the plane \(\pi_2\), then the angle between the planes \(\pi_1\) and \(\pi_2\) isTS EAMCET 2020 Hard
- If the lines \(x+3 y-5=0,5 x+2 y-12=0\) and \(3 x-k y-1=0\) do not form a triangle, then a value of \(k\) isTS EAMCET 2019 Easy
- Two infinitely long thin straight wires having uniform linear charge densities and are arranged parallel to each other at a distance apart. The intensity at a point midway between them isTS EAMCET 2021 Easy
- An equilateral triangle is constructed between the lines \(\sqrt{3} x+y-6=0\) and \(\sqrt{3} x+y+9=0\) with base on one line and vertex on the other. The area (in sq. units) of the triangle so formed isTS EAMCET 2023 Easy
- The oxoacid of phosphorous which contains \(4 \mathrm{P}-\mathrm{O}-\mathrm{H}\), \(2 \mathrm{P}=\mathrm{O}\) and one \(\mathrm{P}-\mathrm{O}-\mathrm{P}\) bond isTS EAMCET 2022 Medium
- If \(a, b, c\) are distinct real numbers and \(P, Q, R\) are three points whose position vectors are respectively \(a \hat{\mathbf{i}}+b \hat{\mathbf{j}}+c \hat{\mathbf{k}}, b \hat{\mathbf{i}}+c \hat{\mathbf{j}}+a \hat{\mathbf{k}}\) and \(c \hat{\mathbf{i}}+a \hat{\mathbf{j}}+b \hat{\mathbf{k}}\), then \(\angle Q P R=\)TS EAMCET 2018 Hard