CBSE Class 10 Maths (Standard) 2025 · Paper 30/S/1 · Question 32

Triangles 5 marks Hard

In the figure,

M N O P

is a trapezium with

M N ∥ P O

and

P O = 2 M N

. A line segment

F E

drawn parallel to

M N

intersects

M P

F

and

N O

E

such that

\frac{N E}{E O} = \frac{3}{4}

. Diagonal

P N

intersects

F E

X

. Prove that

7 F E = 10 M N

Answer

Hence proved:

F E = F X + X E = \frac{4}{7} M N + \frac{6}{7} M N = \frac{10}{7} M N

, so

7 F E = 10 M N

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