CBSE Class 10 Mathematics Standard 2024: question 29(a)

Hints

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Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

1. Any point on the Y-axis has x-coordinate 0. Let the Y-axis meet the segment at $P(0,y)$, and let P divide the segment joining $(5,3)$ and $(-1,6)$ in the ratio $k:1$.

   ½ mark

2. By the section formula, x-coordinate of P $=\frac{k(-1)+1(5)}{k+1}=0$.

   1 mark

3. $-k+5=0\Rightarrow k=5$.

   1 mark

4. So the required ratio is $5:1$. (The point of division is $\left(0,\frac{5\cdot 6+3}{6}\right)=\left(0,\frac{11}{2}\right)$.)

   ½ mark

Answer: 5 : 1

Revise the chapter

• Chapter: Coordinate Geometry (notes, formulas, where marks are lost and every past question)
• Topic: Section Formula (Internal Division)