AP EAMCET · Maths · Pair of Lines
If two sides of a triangle are represented by \(3 x^2-5 x y+2 y^2=0\) and its orthocentre is \((2,1)\), then the equation of the third side is
- A \(2 x+y-4=0\)
- B \(6 x+3 y-13=0\)
- C \(8 x+4 y-17=0\)
- D \(10 x+5 y-21=0\)
Answer & Solution
Correct Answer
(D) \(10 x+5 y-21=0\)
Step-by-step Solution
Detailed explanation
\((3x-2y)(x-y)=0 \implies 3x-2y=0, x-y=0\). Vertex A is \((0,0)\). \(m_{AH} = \frac{1-0}{2-0} = \frac{1}{2}\). \(m_{BC} = -2\). Altitude from B to \(x-y=0\): \(y-1 = -1(x-2) \implies x+y=3\). Vertex B is intersection of \(3x-2y=0\) and \(x+y=3\):…
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 \(\mathrm{X}\) is random variable with probability distribution \(P(X=k)=\frac{(k+1) c}{2^k}, k=0,1,2, \ldots\), then \(P(X \geq 3)=\)AP EAMCET 2023 Medium
- \(\frac{k^5}{5}+\frac{k^3}{3}+\frac{7}{15 k}\) is if \(k \in \mathbf{N}\)AP EAMCET 2020 Easy
- Find the value of \(\operatorname{cosec} 750^{\circ}-2\left(\cot 765^{\circ}\right)\)AP EAMCET 2020 Easy
- The number of integers from 1 to 1000 which are divisible by 2 or 3 isAP EAMCET 2021 Easy
- The set of real values of \(\lambda\) for which the vectors \(\lambda \hat{i}-3 \hat{j}+5 \hat{k}\) and \(2 \lambda \hat{i}-\lambda \hat{j}+\hat{k}\) are perpendicular to each other isAP EAMCET 2022 Easy
- If \(\tan \theta=\frac{\cos 25^{\circ}+\sin 25^{\circ}}{\cos 25^{\circ}-\sin 25^{\circ}}\) and \(\theta\) is in the third quadrant, then \(\theta=\)AP EAMCET 2018 Easy
More PYQs from AP EAMCET
- Which of the following orders is not correct about the property shown against it?AP EAMCET 2025 Medium
- If \(e_1, e_2\) are respectively the eccentricities of the curves \(9 x^2-16 y^2-144=0\) and \(9 x^2-16 y^2+144=0\), then \(\frac{e_1^2 e_2^2}{e_1^2+e_2^2}=\)AP EAMCET 2019 Easy
- Which one of the following has highest dipole moment?AP EAMCET 2018 Medium
- If \(f: R \rightarrow R\) is defined by
\(f(x)= \begin{cases}|[x-5]|, & \text { for } x < 5 \\ {[|x-5|],} & \text { for } x \geq 5\end{cases}\)
Then, \((f \circ f)\left(-\frac{7}{2}\right)=\)
(here, \([x]\) is the greatest integer not exceeding \(x\))AP EAMCET 2019 Easy - The number of rational terms in the expansion of isAP EAMCET 2018 Easy
- If \(\frac{x-4}{x^2-5 x+6}\) can be expanded in the ascending powers of \(x\), then the coefficient of \(x^3\) isAP EAMCET 2004 Medium