aa line ba hyperbola can ellipse da line segment ea prtion o

a)a line

b)a hyperbola

c)an ellipse

d)a line segment

e)a prtion of a hyperbola

cost

Solution

x = sec(theta) ; y = costheta

we know sectheta = 1/costheta

x*y = sec(theta)*costheta

xy = 1

y = 1/x   

It can be transformed into a hyperbola

Option e

a)a line b)a hyperbola c)an ellipse d)a line segment e)a prtion of a hyperbola cost Solutionx = sec(theta) ; y = costheta we know sectheta = 1/costheta x*y = se

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