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Standard XII

Mathematics

Asymptotes

If the asympt...

Question

If the asymptotes of the hyperbola $(x + y + 1)^{2} - (x - y - 3)^{2} = 5$ cuts each other at A and the coordinate axes at B and C, then radius of the circle passing through the points A, B, C is

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Solution

The correct option is B

Centre of rectangular hyperbola (1, –2)

So equation of asymptotes are x = 1, y = –2

So radius of circle $= \frac{\sqrt{5}}{2}$

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If the asymptotes of the hyperbola (x+y+1)2−(x−y−3)2=5 cuts each other at A and the coordinate axes at B and C, then radius of the circle passing through the points A, B, C is

The correct option is B Centre of rectangular hyperbola (1, –2) So equation of asymptotes are x = 1, y = –2 So radius of circle =√52

If the asymptotes of the hyperbola $(x + y + 1)^{2} - (x - y - 3)^{2} = 5$ cuts each other at A and the coordinate axes at B and C, then radius of the circle passing through the points A, B, C is

The correct option is B

Centre of rectangular hyperbola (1, –2)

So equation of asymptotes are x = 1, y = –2

So radius of circle $= \frac{\sqrt{5}}{2}$