CBSE Class 10 Maths (Basic) 2025 · Paper 430/4/1 · Question 29(b)

Coordinate Geometry 3 marks Medium

A (6, - 3)

B (0, 5)

and

C (- 2, 1)

are vertices of

△ A B C

. Points

P (3, 1)

and

Q (2, - 1)

lie on sides

A B

and

A C

respectively. Check whether

\frac{A P}{P B} = \frac{A Q}{QC}

Answer

Yes.

A P = P B = 5

and

A Q = QC = 25

, so

\frac{A P}{P B} = 1

and

\frac{A Q}{QC} = 1

. Hence

\frac{A P}{P B} = \frac{A Q}{QC}

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