CBSE Class 10 Mathematics Standard 2025: question 26(b)

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. Let P, Q, R divide AB into four equal parts, so AP = PQ = QR = RB. Then Q is the mid-point of AB:

   $Q=\left(\frac{-2+2}{2},\frac{2+8}{2}\right)=(0,5)$

   1 mark

2. P is the mid-point of AQ:

   $P=\left(\frac{-2+0}{2},\frac{2+5}{2}\right)=\left(-1,\frac{7}{2}\right)$

   1 mark

3. R is the mid-point of QB:

   $R=\left(\frac{0+2}{2},\frac{5+8}{2}\right)=\left(1,\frac{13}{2}\right)$

   1 mark

Answer: $\left(-1,\frac{7}{2}\right)$, $(0,5)$, $\left(1,\frac{13}{2}\right)$

Revise the chapter

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