Grade 11IIT JEE Entrance Exam
show that the equations (a) x=2+t ,y=3+2t and (b)x=3-5t,y5-10t represent the same line.
show that the equations (a) x=2+t ,y=3+2t and (b)x=3-5t,y5-10t represent the same line.
1 Answer
Shantanu Singh
(a) x=2+t
t=x-2------(1)
y=3+2t
Substituting the value of ‘t’ from equation (1)
y=2x-1-------(A)
(b). x=3-5t
(3-x)/5=t------(2)
y=5-10t
Substituting the value of ‘t’ from equation (2)
y=2x-1--------(B)
(A)=(B), hence proved
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