The perpendicular length from the origin to the line 6x + 8y - 48 = 0 is:

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 05 Jul, 2024 Shift 3)
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  1. 2.6 unit
  2. 8.3 unit
  3. 5.2 unit
  4. 4.8 unit

Answer (Detailed Solution Below)

Option 4 : 4.8 unit
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SSC CHSL Full Test 1
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:

Equation of the line: 6x + 8y - 48 = 0

Formula Used:

Perpendicular distance from a point (x1, y1) to a line Ax + By + C = 0 is given by:

Calculation:

Given point (0, 0) and line 6x + 8y - 48 = 0

Here, A = 6, B = 8, C = -48, x1 = 0, y1 = 0

Substitute values into the formula:

⇒ 

⇒ 

⇒ 

⇒ 

The perpendicular length from the origin to the line 6x + 8y - 48 = 0 is 4.8 units.

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