The mid points of AB and AC of a ΔABC are X and Y, respectively. If BC + XY = 18 units, then the value of BC - XY is: 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 4)
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  1. 12 cm
  2. 6 cm
  3. 8 cm
  4. 4 cm

Answer (Detailed Solution Below)

Option 2 : 6 cm
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Detailed Solution

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Given : 

BC + XY = 18 units

Calculation : 

F1 Other Arbaz 30-10-23 D3

⇒ BC + XY = 18 units

We know XY = 1/2 BC

⇒ 1/2BC + BC = 18 

⇒ 3BC/2 = 18

⇒ BC = 12

Now XY = 6 

So BC - XY = 12 - 6 = 6

∴ The correct answer is 6cm.

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