TS EAMCET · Maths · Straight Lines
Two straight lines \(3 x+4 y=5\) and \(4 x-3 y=15\) intersect at the point \(A\). The equations of the lines passing through \((1,2)\) and intersecting the given lines at \(B\) and \(C\) such that \(A B=A C\) are
- A \(x+4 y=9,4 x-y=2\)
- B \(9 x-2 y=5,2 x+9 y=20\)
- C \(6 x-y=4, x+6 y=13\)
- D \(7 x+y=9, x-7 y+13=0\)
Answer & Solution
Correct Answer
(D) \(7 x+y=9, x-7 y+13=0\)
Step-by-step Solution
Detailed explanation
Given line \(3 x+4 y=5 \text { and } 4 x-3 y=15\) Slope of line \(3 x+4 y=5\) is i.e., \(m_1=\frac{-3}{4}\) Slope of line \(4 x-3 y=15\) i.e., \(m_2=\frac{4}{3}\) Let the slope of line \(B C=m\) Given, \(A B=A C\) \(\because \quad \tan \alpha=\tan \beta\)…
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
- In a triangle \(A B C\), if \(c=9, s=10\) and \(\Delta=10 \sqrt{2}\) then \(b\left[1+\sqrt{2} \tan \left(\frac{A-B}{2}\right)\right]=\)TS EAMCET 2020 Medium
- The equations \(2 x^2+a x-2=0\) and \(x^2+x+2 a=0\) have exactly one common root. If \(a \neq 0\), then one of the roots of the equation \(a x^2-4 x-2 a=0\) isTS EAMCET 2024 Medium
- In \(\triangle A B C\), if \(A\) is an acute angle, \(b=6, c=9\) and \(\sin\) \(A=\frac{2 \sqrt{14}}{9}\), then \(3 \mathrm{a}(\cos \mathrm{B}+\cos \mathrm{C})=\)TS EAMCET 2023 Easy
- If the normal drawn at \(\mathrm{P}(8,16)\) to the parabola \(y^2=32 x\) meets the parabola again at Q, then the equation of the tangent drawn at Q to the parabola isTS EAMCET 2025 Medium
- If \(\mathrm{x}=\log \mathrm{p}\) and \(\mathrm{y}=\frac{1}{p}\) then \(\frac{d y}{d x}=\)TS EAMCET 2023 Easy
- If the points with position vectors and are coplanar thenTS EAMCET 2022 Easy
More PYQs from TS EAMCET
- \(\frac{d}{d x}\left(\frac{x+5}{(x+1)^2(x+2)}\right)=\)TS EAMCET 2018 Easy
- Let and be two focal chords of the parabola . If and thenTS EAMCET 2022 Easy
- If the quadratic equation \(3 x^2+(2 k+1) x-5 k=0\) has real and equal roots, then the value of \(k\) such that \(-\frac{1}{2} \lt k \lt 0\) isTS EAMCET 2024 Medium
- Number of all possible ways of distributing eight identical apples among three persons isTS EAMCET 2025 Medium
- A block is between two surfaces as shown in the figure. Find the normal reaction at both surfaces. [Assume, \(g=10 \mathrm{~m} / \mathrm{s}^2\) ]
TS EAMCET 2020 Hard - The slope of the tangent at \((1,2)\) to the curve \(x=t^2-7 t+7\) and \(y=t^2-4 t-10\), isTS EAMCET 2019 Easy