AP EAMCET · Maths · Vector Algebra
\(\mathrm{M}\) and \(\mathrm{N}\) are the mid points of the sides \(\mathrm{BC}\) and \(\mathrm{CD}\) of a parallelogram \(\mathrm{ABCD}\) respectively then \(\overline{A M}+\overline{A N}=\)
- A \(\frac{1}{3} \overline{A C}\)
- B \(\frac{2}{3} \overline{A C}\)
- C \(\frac{3}{4} \overline{A C}\)
- D \(\frac{3}{2} \overline{A C}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{2} \overline{A C}\)
Step-by-step Solution
Detailed explanation
Let position vectors of A, B, C, D are \(\overrightarrow{0}, \vec{b}, \vec{c}, \vec{d}\) respectively. \(\begin{aligned} & \overrightarrow{A C}=\vec{c} \\ & \overrightarrow{B C}=\vec{c}-\vec{b}\end{aligned}\) \(\mathrm{M}\) is mid point of \(\mathrm{BC}\)…
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 \(\int \frac{x^4+1}{x^2+1} d x=A x^3+B x^2+C x+D \operatorname{Tan}^{-1} x+E\), then \(A+B+C+D=\)AP EAMCET 2025 Medium
- \(\int_1^2 \frac{x^4-1}{x^6-1} d x=\)AP EAMCET 2024 Hard
- If , where and are two complex numbers, thenAP EAMCET 2021 Easy
- The coefficient of \(x^3\) in the expansion of \(\frac{x^4+1}{\left(x^2+1\right)(x-1)}\) when it is expressed in terms of positive integral powers of \(x\), isAP EAMCET 2025 Medium
- If \(\left|\begin{array}{ccc}x^2+x \)x+1 \(x-2\) 2 x^2+3 x-1 \(3 x \)3 x-3\( x^2+2 x+3 \)2 x-1 \(2 x-1\end{array}\right|=x A+B\), where \(A\) and \(B\) are determinants of order 3 not involving \(x\), then \(|A|=\)AP EAMCET 2017 Easy
- In a triangle , if and , then is equal toAP EAMCET 2021 Easy
More PYQs from AP EAMCET
- A body of mass \(4 \mathrm{~kg}\) is moving with momentum of \(8 \mathrm{~kg} \mathrm{~ms}^{-1}\). A force of \(0.2 \mathrm{~N}\) acts on it in the direction of motion of the body for 10 seconds. The increase in kinetic energy in joules isAP EAMCET 2002 Easy
- Chlorine atom, in its third excited state, reacts with fluorine to form a compound \(X\). The formula and shape of \(X\) are :AP EAMCET 2003 Medium
- If are roots of , thenAP EAMCET 2022 Medium
- Among the following, which is water insoluble?AP EAMCET 2007 Medium
- If \(\quad d x+d y=(x+y)(d x-d y), \quad\) then \(\log (x+y)\) is equal toAP EAMCET 2005 Easy
- If \(A_n=\int_{\frac{\pi}{2}} e^{-x} \cdot \cos ^n x d x\), then \(\frac{A_4-A_6}{A_4}=\)AP EAMCET 2019 Medium