CBSE Class 10 Maths (Basic) 2025 · Paper 430(B)/S · Question 22(a)

Triangles 2 marks Medium

P

and

Q

are points on the sides

D E

and

D F

respectively of a

△ D E F

such that

D P = 5

cm,

D Q = 6

cm,

D E = 15

cm and

QF = 18

cm. Find whether

P Q ∥ E F

or not.

Answer

P Q

is **not** parallel to

E F

, because

\frac{D P}{P E} = \frac{5}{10} = \frac{1}{2}

while

\frac{D Q}{QF} = \frac{6}{18} = \frac{1}{3}

, and

\frac{1}{2} \neq = \frac{1}{3}

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