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SSC CGL 2025 PYQ — Question 57

SSC CGL - 21 Sep 2025 - Shift 2 • Quantitative Aptitude • Q57

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What is the minimum distance from the origin (0, 0) to a point on the line segment connecting the points A(3, 0) and B(0, 4)?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 2.4.

Equation of line AB: x/3 + y/4 = 1

⇒ 4x + 3y = 12

Perpendicular distance from origin (0,0) to line 4x + 3y - 12 = 0 is:

Distance =∣4(0)+3(0)−12∣42+32=∣0+0−12∣16−9=125=2.4= \frac{|4(0) + 3(0) - 12|}{\sqrt{4^2 + 3^2}} =\frac{|0+0-12|}{16-9}= \frac{12}{5} = 2.4