3x + 4y = 10 রেখাটির উপর মূলবিন্দু হইতে অংকিত লম্বের দৈর্ঘ্য কত?

The answer is 2 because we need to find the length of the perpendicular drawn from the origin (0,0) to the line defined by the equation 3x + 4y = 10.

To find this length, we can use the formula for the distance from a point to a line, which is given as:

    
• d = |Ax + By + C| / √(A² + B²)

Here, the line can be rewritten in the general form Ax + By + C = 0, where:

    
• A = 3
    
• B = 4
    
• C = -10

Substituting the values from the origin (0, 0) into the formula:

    
• d = |3(0) + 4(0) - 10| / √(3² + 4²)
    
• d = |0 - 10| / √(9 + 16)
    
• d = 10 / √25
    
• d = 10 / 5
    
• d = 2

This calculation confirms that the length of the perpendicular from the origin to the line is indeed 2.

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