Q. 395.0( 1 Vote )

State whether the

Answer :

4x2 + 9y2 = 72 & 2x + 3y = 12


Solving both the expressions,


2x = 12 – 3y


Squaring both sides,


(2x)2 = (12 – 3y)2


4x2 = (12 – 3y)2


Putting the value of 4x2,


(12 – 3y)2 + 9y2 = 72


144 + 9y2 - 72y + 9y2 - 72 = 0


18y2 - 72y + 72 = 0


Y2 - 4y + 4 = 0


(y – 2)2= 0


y = 2


2x = 12 – 3y


2x = 12 – 3(2)


2x = 12 – 6 = 6


x = 3


So, the point of intersection is (3,2).


TRUE


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