AP EAMCET · Maths · Pair of Lines
The product of the perpendicular distances from \((1,-1)\) to the pair of lines \(x^2-4 x y+y^2=0\), is
- A 1
- B \(\frac{2}{3}\)
- C \(\frac{3}{2}\)
- D 2
Answer & Solution
Correct Answer
(C) \(\frac{3}{2}\)
Step-by-step Solution
Detailed explanation
The given pair of straight lines, \[ \begin{aligned} & x^2-4 x y+y^2=0 \\ & \Rightarrow \quad x^2-4 x y+4 y^2=3 y^2 \\ & \Rightarrow \quad(x-2 y)^2-(\sqrt{3} y)^2=0 \\ & \Rightarrow \quad x-(2+\sqrt{3}) y=0 \\ & \text { or } \quad x-(2-\sqrt{3}) y=0 \\ & \end{aligned} \] So,…
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 cylindrical vessel of given volume \(V\) with no lid on the top is to be made from a sheet of metal, then the radius \((r)\) and height \((h)\) of the vessel so that the metal sheet used is minimum, isAP EAMCET 2017 Hard
- If \(A, B, C\) and \(D\) are points whose position vectors are \(\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, 4 \hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}}, 5 \hat{\mathbf{i}}+\hat{\mathbf{j}}\), \(7 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) respectively, then the projection of \(\mathbf{A B}\) on \(\mathbf{C D}\) isAP EAMCET 2019 Easy
- If a circle \(S\) passing through the points \(A(1,2)\) and \(B(2,1)\) has its centre \(\mathrm{C}\) located in the third quadrant at a distance of \(\frac{7}{\sqrt{2}}\) units from \(\mathrm{AB}\), then the point \(\mathrm{P}(1,-2)\)AP EAMCET 2023 Medium
- The number of 5-letter words that can be formed by using the letters of the word SARANAM isAP EAMCET 2018 Easy
- Let be two points in the Argand plane. If the point represents the complex number which satisfies then the locus of the point isAP EAMCET 2018 Hard
- \({ }^{34} C_{10}+3 \cdot\left({ }^{34} C_9\right)+3 \cdot\left({ }^{34} C_g\right)+{ }^{34} C_7=\)AP EAMCET 2018 Medium
More PYQs from AP EAMCET
- If \(A=\left[\begin{array}{lll}x & 2 & 1 \\ 2 & x & 1 \\ 2 & 1 & 0\end{array}\right]\) and \(\operatorname{det}\left(A^3\right)=125\), then \(x=\)AP EAMCET 2022 Easy
- \(\mathrm{Be}\) and \(\mathrm{Al}\) show similarities in properties due to diagonal relationship except in the property \(X\) given below. What is \(X\) ?AP EAMCET 2018 Easy
- The radius of cross-section of the cylindrical tube of a spray pump is 2 cm . One end of the pump has 50 fine holes each of radius 0.4 mm . If the speed of flow of the liquid inside the tube is \(0.04 \mathrm{~ms}^{-1}\), the speed of ejection of the liquid from the holes isAP EAMCET 2024 Easy
- If \(y=\frac{a x+b}{c x+d}\) and \(\frac{d x}{d y}=\frac{a d-b c}{P y^2+Q y+R}\) then \(P+Q+R=\)AP EAMCET 2022 Hard
- The coordinates of the point \((3,-7,5)\) in the new system, when the origin is shifted to the point \((-1,-1,-1)\) by the translation coordinate of axes, isAP EAMCET 2023 Easy
- A certain physical quantity is calculated from the formula \(\frac{\pi}{3}\left(a^2-b^2\right) h d\), where \(a, b\) and \(h\) are all lengths and \(d\) is density. The physical quantity being calculated isAP EAMCET 2023 Easy