Exams › SSC CGL (Prelims) › General

A right triangle has vertices at \(P(0,0)\), \(Q(10,0)\), and \(R(0,24)\). What are the coordinates of its circumcenter?

1. (5, 12)
2. (12, 5)
3. (10, 24)
4. (0, 0)

Correct answer: (5, 12)

Solution

In a right triangle, the circumcenter lies at the midpoint of the hypotenuse. Here the hypotenuse is between \(Q(10,0)\) and \(R(0,24)\), whose midpoint is \((5,12)\).

Related SSC CGL (Prelims) General questions

• What is the equation of a line passing through \((0,4)\) with slope \(-2\)?
• What is the slope of the line perpendicular to $y = 5x - 8$?
• Which line has slope \(-2\) and passes through \((3,5)\)?
• A line \(L\) is the perpendicular bisector of the line segment joining points \(P(4,6)\) and \(Q(10,2)\). What is the y-intercept of line \(L\)?
• Find the slope of the line $4x - 5y = 10$.
• Find the equation of the perpendicular bisector of the line segment joining the points $(1,5)$ and $(5,9)$.

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