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Standard XII

Mathematics

Asymptotes

If the asympt...

Question

If the asymptote of the hyperbola $(x + y + 1)^{2} - (x - y - 3)^{5} = 5$ cut each other at A and the coordinate axis at B and C then radius of 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 asymptote of the hyperbola (x+y+1)2−(x−y−3)5=5 cut each other at A and the coordinate axis at B and C then radius of 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 asymptote of the hyperbola $(x + y + 1)^{2} - (x - y - 3)^{5} = 5$ cut each other at A and the coordinate axis at B and C then radius of 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 $= \frac{\sqrt{5}}{2}$