31 The rectangular equation for the parametric equations x

31, The rectangular equation for the parametric equations x = ,y=- t + 1 t +1 c) x-r+1 d) y = x2 + t e) NOTA a) y = t + 1 b)y=1-x2

Solution

x = 1 / sqrt ( t +1 )

y = t / ( t + 1)

y ( t + 1 ) = t

yt + y = t

t ( 1 - y ) = y

t = y / (1 - y )

plugging this value of t into 1st equation

x = 1 / ( y / ( 1 - y ) + 1 )

x = 1 / sqrt ( 1 / (1-y))

hence, none of the above options is correct

e is right