AP EAMCET · Maths · Straight Lines
In an isosceles \(\triangle A B C\), the coordinates of vertices \(B\) and \(C\) of the base \(B C\) are \((3,2)\) and \((2,3)\) respectively. If the equation of the line \(A B\) is \(3 y=2 x\), then the equation of the line \(A C\) is
- A \(2 y=3 x\)
- B \(2 y=x\)
- C \(x+y=0\)
- D \(2 x-y=0\)
Answer & Solution
Correct Answer
(A) \(2 y=3 x\)
Step-by-step Solution
Detailed explanation
\(\triangle A B C\) is an isosceles triangle \(B \equiv(3,2)\) and \(C \equiv(2,3)\) \(B\) and \(C\) are symmetric about the line \(y=x\) Equation of \(A B=3 y=2 x\) Equation of \(A C\) is symmetric about \(y=x\) \(\therefore\) Equation of \(A C=2 y=3 x\)
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
- When the coordinate axes are rotated through an angle , the coordinates of a point in the new system are known to be . Then find the coordinates of in the original system.AP EAMCET 2021 Easy
- The coefficient of \(x^4\) in the expansion of \(\left(1-x+x^2-x^3\right)^4\) isAP EAMCET 2016 Medium
- If the median of the data \(6,7, x-2, x, 18\) and 21 written in ascending order is 16 , then the variance of that data isAP EAMCET 2015 Medium
- The equation obtained by transforming \(x^2+y^2-6 x+10 y-2=0\) to the parallel axis through \((3,-5)\) isAP EAMCET 2021 Easy
- If the equation of the circle passing through the points of intersection of the circlesAP EAMCET 2024 Medium
- Let \(f^{\prime}(x)=|x|\) and \(g(x)=|x|+a,(a>0)\). For \(0 \leq x \leq b\), \(\{(x, y) / g(x) \leq y \leq f(x)\}\) represents all the points in the interior ofAP EAMCET 2023 Medium
More PYQs from AP EAMCET
- Molecular bromine on reaction with three moles of molecular fluorine produces an inter halogen compound. The total number of lone pairs at the central halogen atom isAP EAMCET 2021 Easy
- The \(\mathrm{pH}\) of \(10^{-8} \mathrm{M} \mathrm{HCl}\) solution isAP EAMCET 2020 Easy
- The acceleration due to gravity at a height of \((\sqrt{2}-1) \mathrm{R}\) from the surface of the earth is
(Acceleration due to gravity on the surface of the earth \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) and R is radius of the earth)AP EAMCET 2025 Medium - In \(\triangle A B C, \tan \frac{A}{2}+\tan \frac{B}{2}=\)AP EAMCET 2018 Easy
- Let \([r]\) denote the largest integer not exceeding \(r\) and the roots of the equation \(3 x^2+6 x+5+\alpha\left(x^2+2 x+2\right)=0\) are complex numbers whenever \(\alpha\gt\mathrm{L}\) and \(\alpha \lt \mathrm{M}\). If \((\mathrm{L}-\mathrm{M})\) is minimum, then greatest value of \([r]\) such that \(\mathrm{L} y^2+\mathrm{M} y\) \(+r \lt 0\) for all \(y \in \mathbb{R}\) is,AP EAMCET 2024 Easy
- If \(3 x^2-11 x y+10 y^2-7 x+13 y+k=0\)
denotes a pair of straight lines, then the point of intersection of the lines isAP EAMCET 2010 Easy