NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 10: Construction - Exercise 10.1Question 2
Class 10 - Mathematics - CHAPTER 10: Construction - Exercise 10.1
Question. 2
To divide a line segment AB in the ratio 4:7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A₁, A₂, A₃, ... are located at equal distances on the ray AX and the point B is joined to
(A)
A12
(B)
A11
(C)
A10
(D)
A9
Detailed Answer with Explanation:
Step 1: The ratio given is \(4:7\).
Step 2: Add the numbers of the ratio: \(4 + 7 = 11\). This means we must divide AB into 11 equal parts.
Step 3: On ray AX, we mark 11 points at equal distances: A₁, A₂, A₃ … A₁₁.
Step 4: To divide AB, we always join the last point (A₁₁) to B.
Step 5: Then we draw a line parallel to A₁₁B from A₄ (because we want the first part of ratio = 4). This parallel line will cut AB at the required division point.
Final Answer: The point joined to B is A₁₁. So the correct option is A12.