AP EAMCET · Maths · Straight Lines
If the median AD of the triangle ABC is bisected at E and BE meets AC in F, then \(\mathrm{AF}: \mathrm{AC}=\)
- A \(1: 4\)
- B \(1: 3\)
- C \(1: 2\)
- D \(3: 4\)
Answer & Solution
Correct Answer
(B) \(1: 3\)
Step-by-step Solution
Detailed explanation
Apply Menelaus' Theorem to \(\triangle ADC\) and transversal \(\overline{BFE}\): \(\frac{AF}{FC} \cdot \frac{CB}{BD} \cdot \frac{DE}{EA} = 1\) Substitute known ratios (\(D\) is midpoint of \(BC \implies \frac{CB}{BD} = 2\); \(E\) is midpoint of…
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 \(f^{\prime}(x)=\sqrt{2 x^2-1}\) and \(y=f\left(x^3\right)\), then find the value of \(\frac{d y}{d x}\) at \(x=1\)AP EAMCET 2021 Easy
- The equation of the normal drawn at the point \((\sqrt{2}+1,-1)\) to the ellipse \(x^2+2 y^2-2 x+8 y+5=0\) isAP EAMCET 2025 Medium
- Let and is the point of intersection of the lines and isAP EAMCET 2021 Medium
- If \(3 A=\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b\end{array}\right]\) and \(A A^{\mathrm{T}}=I\), then \(\frac{a}{b}+\frac{b}{a}\)AP EAMCET 2024 Easy
- The angle between the curves \(y^2=4 x+4\) and \(y^2=36(9-x)\) isAP EAMCET 2008 Medium
- If the roots of the equation \(x^3-a x^2+b x-c=0\) are in HP, then the mean of the roots isAP EAMCET 2021 Easy
More PYQs from AP EAMCET
- Which of the following statements is not correct?AP EAMCET 2017 Easy
- If \(x=\frac{3}{4 \cdot 8}+\frac{3 \cdot 5}{4 \cdot 8 \cdot 12}+\frac{3 \cdot 5 \cdot 7}{4 \cdot 8 \cdot 12 \cdot 16}+\ldots\), then \(2 x^2+5 x=\)AP EAMCET 2018 Hard
- A \(40 \%\) by mass sucrose solution is heated till, it becomes \(50 \%\) by mass. Calculate the mass of water lost from \(100 \mathrm{~g}\) of the solution isAP EAMCET 2020 Medium
- Which of the following is not correct regarding Orthoboric acid?AP EAMCET 2017 Easy
- An element occurs in the body centred cubic structure with edge length of 288 pm. The density of the element is \(7.2 \mathrm{~g} \mathrm{~cm}^{-3}\). The number of atoms present in 208 g of the element is nearlyAP EAMCET 2025 Medium
- If \(z_1=2+5 i, z_2=-1+4 i\) and \(z_3=1\), then \(\left|\frac{z_1-z_3}{z_3-z_2}\right|=\)AP EAMCET 2023 Medium