Question : Point A divides segment BC in the ratio 4 : 1. Coordinates of B are (6, 1) and coordinates of C are ($\frac{7}{2}$, $6$). What are the coordinates of point A?
Option 1: (4, 3)
Option 2: (4, 5)
Option 3: (2, 5)
Option 4: (3, 5)
Correct Answer: (4, 5)
Solution :
The point A coordinates by using the section formula, $A(x,y)=(\frac{m\times x_2 + n\times x_1}{m+n},\frac{m\times y_2 + n \times y_1} {m+n})$ where $A(x_1,y_1)$ and $B(x_2,y_2)$ are the coordinates of the points which divides the line segment in the ratio $m:n$.
Given: $m=4$, $n=1$, $x_1=6, y_1=1, x_2= \frac{7}{2}, \text{and}\; y_2= 6$
From the section formula, the $x$ coordinate of A $=\frac{4\times \frac{7}{2}+1\times6 }{4+1}$
$=\frac{20}{5}=4$
Similarly, the y coordinate of A is $\frac{4\times 6+1\times1}{4+1}$.
$=\frac{25}{5}=5$
The coordinates of point A are (4, 5).
Hence, the correct answer is (4, 5).
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
