AP EAMCET · Maths · Straight Lines
The straight line passing through \((-1,1)\) and remaining parallel to the line common to the pairs of lines provided by \(6 x^2-x y-12 y^2=0\) and \(15 x^2+14 x y-8 y^2=0\), is
- A \(5 \mathrm{x}-2 \mathrm{y}+7=0\)
- B \(3 x+4 y-1=0\)
- C \(3 x-4 y+7=0\)
- D \(2 x-3 y+5=0\)
Answer & Solution
Correct Answer
(B) \(3 x+4 y-1=0\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } 6 x^2-x y-12 y^2=0 \\ & \Rightarrow 6 x^2-3 x y+8 x y-12 y^2=0 \\ & \Rightarrow(2 x-3 y)(3 x+4 y)=0 \ldots \text { (i) } \\ & \Rightarrow 15 x^2+14 x y-8 y^2=0 \\ & \Rightarrow 15 x^2+20 x y-6 x y-8 y^2=0 \\ & \Rightarrow(5 x-2 y)(3 x+4 y)=0 \ldots…
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 points where the circle cuts the -axis areAP EAMCET 2021 Easy
- The image of the point \((3,8)\) in the line \(x+3 y=7\) isAP EAMCET 2011 Medium
- A question paper contains 4 questions each having 4 alternative answers. The number of ways that a candidate can answer one or more questions isAP EAMCET 2017 Medium
- The number of straight lines that can be drawn through the point \((-3,4)\) which are at a distance of 5 units from the point \((2,-8)\) isAP EAMCET 2023 Medium
- Find the minimum radius of the circle which is orthogonal to both the circles \(x^2+y^2+4 x+3=0\) and \(x^2+y^2-12 x+35=0\).AP EAMCET 2020 Medium
- If \(f(x)=\frac{x}{\left(1+n x^n\right)^{1 / n}}\) for \(n \geq 2\), then \(\int x^{n-2} f(x) d x=\)AP EAMCET 2023 Easy
More PYQs from AP EAMCET
- If the maximum and minimum amplitudes of a modulated wave are 25 V and 5 V respectively, then the modulation index isAP EAMCET 2025 Easy
- At \(\mathrm{T}(\mathrm{K})\), the \(\mathrm{P}, \mathrm{V}\) and \(u_{\mathrm{rms}}\) of 1 mole of an ideal gas were measured. The following graph is obtained. What is its slope (m)? \(\left(x\right.\)-axis \(=\mathrm{PV} ; y\)-axis \(u_{r m s}^2, \mathrm{M}=\) Molar mass \()\)
AP EAMCET 2024 Medium - Assertion (A) \(\mathrm{P}_4 \mathrm{O}_{10}\) cannot be used to remove moisture from ammonia gas. Reason (R) \(\mathrm{P}_4 \mathrm{O}_{10}\) reacts with \(\mathrm{NH}_3\) gas. The correct answer isAP EAMCET 2019 Medium
- If the lines \(3 x+y-4=0, x-\alpha y+10=0, \beta x+2 y+4=\) 0 and \(3 x+y+k=0\) represent the sides of a square, then \(\alpha \beta(k+4)^2=\)AP EAMCET 2024 Easy
- AP EAMCET 2022 Medium
- In a \(\triangle A B C,(a-b)^2 \cos ^2 \frac{C}{2}+(a+b)^2 \sin ^2 \frac{C}{2}\) is equal toAP EAMCET 2004 Medium