TS EAMCET · Maths · Straight Lines
The equation of the line passing through the point of intersection of the lines \(x-3 y+2=0\) and \(2 x+5 y-7=0\) and perpendicular to the line \(3 x+2 y+5=0\) is :
- A \(2 x-3 y+1=0\)
- B \(6 x-9 y+11=0\)
- C \(2 x-3 y+5=0\)
- D \(3 x-2 y+1=0\)
Answer & Solution
Correct Answer
(A) \(2 x-3 y+1=0\)
Step-by-step Solution
Detailed explanation
The equation of lines are \(x-3 y+2=0\) ...(i) and \(2 x+5 y-7=0\) ...(ii) On solving Eqs. (i) and (ii), we get \(x=1, y=1\) \(\therefore\) The co-ordinates of a point of intersection of given lines are \((1,1)\). The equation of line perpendicular to \(3 x+2 y+5=0\) is…
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
- \[ \lim _{x \rightarrow 2} \frac{\sqrt[3]{6+x}-\sqrt[3]{10-x}}{x-2}= \]TS EAMCET 2023 Easy
- The slope of a common tangent to the circles \(x^2+y^2-4 x-8 y+16=0\) and \(x^2+y^2-6 x-16 y+64=0\) isTS EAMCET 2024 Hard
- The rank of
\(A=\left[\begin{array}{ccc}
1 & x & x+1 \\
2 x & x^2-x & x^2+x \\
3 x(x-1) & x\left(x^2-3 x+2\right) & x\left(x^2-1\right)
\end{array}\right] \text { is }\)TS EAMCET 2020 Hard - For the ellipse which of the following is true?TS EAMCET 2021 Easy
- If are the roots of the equation such that are in geometric progression and , thenTS EAMCET 2022 Medium
- If the point satisfies the equation , thenTS EAMCET 2022 Medium
More PYQs from TS EAMCET
- The equation of lowest degree with rational coefficients having roots \(\sqrt{3}+\sqrt{2} i\) and \(\sqrt{3}-\sqrt{2}\) isTS EAMCET 2022 Medium
- The solution of the differential equation \(\left(x+2 y^3\right) \frac{d y}{d x}=y\) isTS EAMCET 2019 Medium
- If a random variable \(X\) denotes the number that appears on the upper face of a die when it is rolled, then \(\frac{\text { Variance of } X}{\text { Mean of } X}\) is equal toTS EAMCET 2021 Easy
- The power of an electric motor is 242 W when connected to a 220 V supply. When the motor is operated at 200 V, the current drawn by it isTS EAMCET 2025 Medium
- Which one of the following cannot form an amphoteric oxide?TS EAMCET 2012 Easy
- Which one of the following is the molecular formula of a tertiary amine?TS EAMCET 2002 Easy