TS EAMCET · Maths · Pair of Lines
The equation of pair of lines passing through origin and forming an equilateral triangle with the line \(3 x+4 y-5=0\) is
- A \(39 x^2+11 y^2-96 x y=0\)
- B \(x^2-7 x y+12 y^2=0\)
- C \(x^2+y^2-4 x y=0\)
- D \(2 x^2+6 x y+y^2=0\)
Answer & Solution
Correct Answer
(A) \(39 x^2+11 y^2-96 x y=0\)
Step-by-step Solution
Detailed explanation
Let the equations of lines, passing through origin and forming an equilateral triangle with \(3 x+4 y-5=0\), are \(y=m_1 x\) and \(y=m_2 x\). Since, slope of given line is \(\frac{-3}{4}\).…
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
- If two circles touch at \((0,0)\) externally, then their radical axis isTS EAMCET 2021 Easy
- \[ \frac{x^2}{a}+\frac{x y}{h}+\frac{y^2}{b}=0(a \neq 0, h \neq 0, b \neq 0) \] represents two coincident ifTS EAMCET 2022 Medium
- There is a possible error of 0.03 cm in a scale of length 1 foot with which the height of a closed right circular cylinder and the diameter of a sphere are measured as 3.5 feet each. If the radii of both cylinder and sphere are same, then the approximate error in the sum of the surface areas of both cylinder and sphere is (in square feet)TS EAMCET 2025 Medium
- A number \(n\) is chosen at random from the natural numbers 2 to 1001 . The probability that \(n\) is a number that leaves remainder 1 when divided by 7 , isTS EAMCET 2018 Easy
- If the determinant of the matrix is zero for all thenTS EAMCET 2019 Easy
- The general solution of \(\left(\left(1+x^2\right) y \sin x-2 x y\right) d x-\log y^{1+x^2} d y=0\) isTS EAMCET 2022 Easy
More PYQs from TS EAMCET
- A diagnostic test has the probability 0.95 of giving a positive result when applied to a person suffering from a certain disease and a probability 0.10 of giving a positive result when given to a non-sufferer. It is estimated that \(0.5 \%\) of the population are suffering from the disease. If this test is now administered to a person from this population about whom there is no information relating to the incidence of this disease and the test gives a positive result, then the probability that he is a sufferer, isTS EAMCET 2020 Medium
- The roots of the cubic equation are diminished by and a cubic equation with these diminished roots is formed. If the transformed equation does not contain term, then the roots of the transformed equation areTS EAMCET 2021 Medium
- \(f(x)=\left|\begin{array}{ccc}1 & \text { x } & \text x+1 \\ 2 x & x(x-1) & (x+1) x \\ 3 x(x-1) & x(x-1)(x-2) & (x+1) x(x-1)\end{array}\right|\) then \(f(100)\) is equal toTS EAMCET 2023 Easy
- Consider the following: I. The electron spin quantum number describes the orientation of the spin of the nucleus with respect to the magnetic field. II. The orbitals represented by the quantum numbers \(\mathrm{n}=3, l=2, \mathrm{~m}=+2\) and \(\mathrm{n}=3, l=2, \mathrm{~m}=-2\) have the same energy III. The energy of a photon is directly proportional to wavelength but inversely proportional to wave number IV. Lyman series of lines appear in ultra-violet region The correct statements areTS EAMCET 2023 Medium
- If the system of equations
\(\left[\begin{array}{ccc}\alpha & -1 & -1 \\ 1 & -\alpha & -1 \\ 1 & -1 & -\alpha\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}\alpha-1 \\ \alpha-1 \\ \alpha-1\end{array}\right]\) is inconsistent, then \(\alpha=\)TS EAMCET 2020 Easy - The temperature at which the rms speed of molecules in hydrogen gas will be double of its initial value at \(27^{\circ} \mathrm{C}\) isTS EAMCET 2021 Easy