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Grade 11Mechanics

If the vertices of a quadrilateral is given by (x2 – 4)2 + (y2 – 9)2 = 0 then area of quadrilateral is-
(A) 36 (B) 24
(C) 16 (D) 81

Profile image of hiphop aadhi2001
8 Years agoGrade 11
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5 Answers

Profile image of downey zer
ApprovedApproved Tutor Answer8 Years ago
here we see the sum of two squares is equal to zero
since both terms are positive and equal to 0
therefore both have to be equal to 0
therefore x=2,-2 and y=3,-3
area =24
Profile image of hiphop aadhi2001
8 Years ago
Downey Zer 

         Please Can you explain the steps clearly....???
What comes after this step?  How did you got the answer
therefore x=2,-2 and y=3,-3
area =24

 
Profile image of siddhi
ApprovedApproved Tutor Answer8 Years ago
you will get after solving A =2,3 B=2,-3 C=-2,3 D =-2,-3 Now u can use the determinant method to find the answer remember to take the vertices in order .Thank u
Profile image of downey zer
8 Years ago
sorry for
Profile image of downey zer
8 Years ago
sorry for the delay. siddhi is right u can use the determinant method. OR what u can do is plot the points in the x-y plane and u will find that the points form a rectangle of length 4 units on one side and 6 units on other side. So i was able to tell the area to be 24 just by looking at the points. with enough practice u will also be able to find cool tricks to solve the problems easily. hope that helps.