Q. The graph of a linear equation 2x + 5y = 10 is a line, which meets the x-axis at the point
a) (0, 2)
b) (2, 1)
c) (5, 0)
d) (5/2, 2)
Correct Answer: c) (5, 0)
Question from UPPSC Prelims CSAT 2025
Explanation:
A line meets the x-axis where y = 0. Substitute y = 0 into 2x + 5y = 10: 2x = 10 ⇒ x = 5.
Hence, the x-intercept is (5, 0), which is Option 3. (0, 2) is the y-intercept; (2, 1) and (5/2, 2) do not satisfy the equation.
