TS EAMCET · Maths · Three Dimensional Geometry
The centroid of a triangle with vertices and is then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given:The centroid of a triangle with vertices A(3, 4, 5), B(6, 7, 2) and C(x, y, z) is (3, 2, 3) ∴3=3+6+x3, 2=4+7+y3 & 3=5+2+z3 ∴x=0,y=-5 & z=2 Now, x+y+z=0-5+2=-3 Hence, option 1 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
- \(\int \frac{d x}{(x+1) \sqrt{x^2+4}}=\)TS EAMCET 2024 Hard
- If \(\alpha_1, \alpha_2, \alpha_3\) respectively denote the moduli of the complex number \(-i, \frac{1}{3}(1+i)\) and \(-1+i\), then their increasing order isTS EAMCET 2005 Easy
- If , thenTS EAMCET 2019 Medium
- Assertion : The curves \(y^2=4 x\) and \(x^2=-2 y\) intersect at \((1,2)\) orthogonally. Reason : If the product of the slopes of the tangents drawn to two curves at their point of intersection is -1 , then the curves are said to cut each other orthogonally. The correct option among the following isTS EAMCET 2022 Medium
- If \(\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}, \overrightarrow{\mathbf{c}}\) are three non-coplanar vectors, then the vector equation \(\overrightarrow{\mathbf{r}}=(1-p-q) \overrightarrow{\mathbf{a}}+p \overrightarrow{\mathbf{b}}+q \overrightarrow{\mathbf{c}}\) represents a :TS EAMCET 2003 Hard
- If the angular bisector of the angle A of the triangle ABC meets its circumcircle at E and the opposite side BC at D, then \(\mathrm{DE} \cos \frac{\mathrm{A}}{2}=\)TS EAMCET 2025 Medium
More PYQs from TS EAMCET
- One mole of an ideal gas at 300 K and 20 atm expands to 2 atm under isothermal and reversible conditions. The work done by the gas is \(-x \mathrm{~kJ} \mathrm{~mol}^{-1}\). The value of \(x\) is \(\left(\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)\)TS EAMCET 2025 Medium
- Let \(A(1,3)\) and \(B(2,5)\) be two points and \(C(h, k)\) be a point such that \(\mathrm{BC}\) is perpendicular to \(\mathrm{AC}\). If \(\angle \mathrm{CAB}=\angle \mathrm{CBA}\), then \(\mathrm{h}=\)TS EAMCET 2023 Easy
- Assertion (A) : Silicones are used for water proofing of fabrics. Reason (R): The repeating unit in silicones is
The correct answer isTS EAMCET 2024 Easy - Let \(\mathbf{a}=\mathbf{i}+2 \mathbf{j}+\mathbf{k}, \mathbf{b}=\mathbf{i}-\mathbf{j}+\mathbf{k}, \mathbf{c}=\mathbf{i}+\mathbf{j}-\mathbf{k}\). A vector in the plane of \(\mathbf{a}\) and \(\mathbf{b}\) has projection \(\frac{1}{\sqrt{3}}\) on c. Then, one such vector isTS EAMCET 2012 Easy
- Neoprene is the polymer of a monomer X. IUPAC name of X isTS EAMCET 2025 Easy
- Identify the correct decreasing order of the following with respect to altitude from atmosphere I. Troposphere II. Mesosphere III. ThermosphereTS EAMCET 2004 Easy