First slide

Pair of straight lines

Question

The circumcentre of the triangle formed by the lines $x^{2} - y^{2} = 0$ and $y - 5 = 0$ is

Moderate

A

(5,0)
B

(0,5)
C

(0,0)
D

(5,5)

Solution

Vertices are A (0,0), B(-5,5), C (5,5)
$a + b = 1 - 1 = 0, ∠ B A C = 90^{0}$

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