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Question: The circles x<sup>2</sup> + y<sup>2</sup> + x + y = 0 and x<sup>2</sup>+y<sup>2</sup>+x – y = 0 inte...

The circles x2 + y2 + x + y = 0 and x2+y2+x – y = 0 intersects at an angle of –

A

π6\frac{\pi}{6}

B

π4\frac{\pi}{4}

C

π3\frac{\pi}{3}

D

π2\frac{\pi}{2}

Answer

π2\frac{\pi}{2}

Explanation

Solution

g1 = 12\frac{1}{2}, f1 = 12\frac{1}{2}, c1 = 0

g2 = 12\frac{1}{2}, f2 = 12\frac{1}{2}, c2 = 0

2g1g2 + 2f1f2 = 12\frac{1}{2} – 12\frac{1}{2}