TS EAMCET · Maths · Straight Lines
The orthocentre of the triangle formed by the points \((1,3),(-3,5)\) and \((5,-1)\) is
- A \((-8,-10)\)
- B \((-3,2)\)
- C \(\left(-\frac{2}{3}, \frac{4}{3}\right)\)
- D \((19,27)\)
Answer & Solution
Correct Answer
(D) \((19,27)\)
Step-by-step Solution
Detailed explanation
Let the coordinates are \(\mathrm{A}(1,3), \mathrm{B}(-3,5), \mathrm{C}(5,-1)\) Slope of \(\mathrm{AC}=\frac{-1-3}{5-1}=\frac{-4}{4}=-1=m_1\) Slope of \(\mathrm{BC}=\frac{-1-5}{5+3}=\frac{-6}{8}=\frac{-3}{4}=m_2\) Slope \(\mathrm{BE}=\left(m^{\prime}\right)\) 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
- If the vectors and are collinear, thenTS EAMCET 2021 Easy
- Out of consecutive integers two integers are drawn at random. The probability that their sum is odd isTS EAMCET 2021 Easy
- A five digit number is formed by the digits 1 , \(2,3,4,5\) with no digit being repeated. The probability that the number is divisible by 4 , isTS EAMCET 2016 Easy
- If two pairs of straight lines with combined equations \(\quad x y+4 x-3 y-12=0\) and \(x y-3 x+4 y-12=0\) form a square. Then, the combined equation of its diagonals isTS EAMCET 2015 Hard
- \(\int_0^3\left(\sin \left(\frac{\pi}{3} x\right)-\cos \left(\frac{\pi}{3} x\right)\right) d x=\)TS EAMCET 2022 Hard
- The real valued function \(f(x)=\frac{|x-a|}{x-a}\) isTS EAMCET 2024 Easy
More PYQs from TS EAMCET
- A body projected vertically upwards crosses a point twice in its journey at a height \(h\) just after \(t_1\) and \(t_2\) seconds. Maximum height reached by the body isTS EAMCET 2005 Medium
- \(\int_0^{\frac{\pi}{2}} \sqrt{\tan x} d x=\)TS EAMCET 2025 Medium
- If \(\alpha\) is the angle made by the perpendicular drawn from origin to the line \(3 x-4 y+5=0\) with positive \(X\)-axis in positive direction and \(a x+b y=1\) is the equation of a line passing through the point \((1,-1)\) with \(\tan \alpha\) as its slope, then \(a+a b+b=\)TS EAMCET 2023 Medium
- A block is placed on a parabolic shape ramp given by equation . If the coefficient of static friction is , then what is the maximum height above the ground at which the block can be placed without slipping?TS EAMCET 2022 Medium
- The correct option for the first ionisation enthalpy (in \(\mathrm{kJ} \mathrm{mol}^{-1}\) ) of \(\mathrm{Li}, \mathrm{Na}, \mathrm{K}\) and \(\mathrm{Cs}\) respectively isTS EAMCET 2018 Easy
- An aircraft executes a horizontal loop of radius 9 km at a constant speed of \(540 \mathrm{kmh}^{-1}\). The wings of the aircraft are banked at an angle of (Acceleration due to gravity \(\left.=10 \mathrm{~ms}^{-2}\right)\)TS EAMCET 2024 Medium