AP EAMCET · Maths · Basic of Mathematics
For a parallelogram \(A B C D\), if \(L\) and \(M\) are mid-points of \(B C\) and \(C D\), then \(\mathbf{A L}+\mathbf{A M}=\)
- A \(\frac{2}{3} \mathrm{AC}\)
- B \(\frac{3}{2} \mathrm{AC}\)
- C \(\frac{5}{2} \mathrm{AC}\)
- D \(3 \mathrm{AC}\)
Answer & Solution
Correct Answer
(B) \(\frac{3}{2} \mathrm{AC}\)
Step-by-step Solution
Detailed explanation
Given, \(A B C D\) is a parallelogram \(L, M\) are mid points of sides \(B C, C D\) respectively \(\Rightarrow \quad B L=\frac{1}{2} B C \quad \Rightarrow \quad D M=\frac{1}{2} D C\) In \(\triangle A B C\),…
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