AP EAMCET · Maths · Straight Lines
If origin is the ortho-center of an equilateral triangle whose vertices are \(\bar{a}, \bar{b}, \bar{c}\) then
- A \(\bar{a}+\bar{b}=\bar{c}\)
- B \(\bar{a}+\bar{b}=-\bar{c}\)
- C \(|\bar{a}|^2=|\bar{b}|^2=|\bar{c}|^2\)
- D \(\bar{a}=\bar{b}=\bar{c}\)
Answer & Solution
Correct Answer
(B) \(\bar{a}+\bar{b}=-\bar{c}\)
Step-by-step Solution
Detailed explanation
Given that origin is orthocentre with slides of triangle are \(\vec{a}, \vec{b}, \vec{c}\)…
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 equation of the circle of radius 3 units which touches the circle \(x^2+y^2+6 x-8 y-11=0\) externally at \((3,0)\) is \(x^2+y^2+2 g x+2 f y+c=0\), then \(3 g-4 f+c=\)AP EAMCET 2023 Easy
- Consider the following statements
Statement-I : A function \(\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}\) is said to be one-one if and only if \(f(x) \neq f(y) \Rightarrow x \neq y\)
Statement-II : A relation \(f: A \rightarrow B\) is said to be a function if \(x \neq y \Rightarrow f(x) \neq f(y)\)
Then which one of the following is true ?AP EAMCET 2025 Easy - Find \(\frac{d y}{d x}\) if \(2 x^2-3 x y+y^2+x+2 y-8=0\)AP EAMCET 2020 Medium
- The difference between the absolute maximum and absolute minimum values of the function \(f(x)=2 x^3-15 x^2+36 x-30\) on \([-1,4]\) isAP EAMCET 2025 Medium
- The lines represented by \(a x^2+2 h x y+b y^2=0\) are perpendicular to each other, if ........AP EAMCET 2020 Easy
- If the roots of the equation \(Z^3+i Z^2+2 i=0\) are the vertices of a triangle \(A B C\). then that triangle \(A B C\) isAP EAMCET 2024 Medium
More PYQs from AP EAMCET
- Bottom of a cylindrical vessel has a hole of area \(A\). If water is filled up to a height \(h\), it flows out in \(t\) seconds. If water is filled to a height \(4 h\), it will flow out in timeAP EAMCET 2020 Easy
- The equation of perpendicular bisectors of sides and of a are and respectively. If the coordinates of vertex are then equation of isAP EAMCET 2022 Hard
- If and are respectively the global maximum and global minimum of the function on the interval , thenAP EAMCET 2019 Medium
- If \(A=\left[\begin{array}{ccc}1 & 1 & 3 \\ 5 & 2 & 6 \\ -2 & -1 & -3\end{array}\right]\), then \(A+A^3+A^4+A^5+3 I=\)AP EAMCET 2023 Easy
- Identify the reaction in which oxygen is not one of the productsAP EAMCET 2023 Medium
- A circle passing through the point \((1,0)\) makes an intercept of length 4 units on X -axis and an intercept of length \(2 \sqrt{11}\) units on Y - axis. If the centre of the circle lies in the fourth quadrant, then the radius of the circle isAP EAMCET 2025 Medium