AP EAMCET · Maths · Straight Lines
In quadrilateral \(A B C D, \mathbf{A B}=\mathbf{a}, \mathbf{B C}=\mathbf{b}\), \(\mathbf{A D}=\mathbf{b}-\mathbf{a}\) if \(M\) is the midpoint of \(B C\) and \(N\) is a point on \(D M\) such that \(D N=\left(\frac{4}{5}\right) D M\), then \(5 \mathbf{A N}=\)
- A \(\mathrm{AC}\)
- B \(2 \mathrm{AC}\)
- C \(3 \mathrm{AC}\)
- D 4AC
Answer & Solution
Correct Answer
(C) \(3 \mathrm{AC}\)
Step-by-step Solution
Detailed explanation
It is given that for a quadrilateral \(A B C D\), \(\mathbf{A B}=\mathbf{a}, \mathbf{B C}=\mathbf{b}, \mathbf{A D}=\mathbf{b}-\mathbf{a}\) \(\therefore\) According to the question, \(\mathbf{B M}=\frac{\mathbf{b}}{2}\) and…
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