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Grade: 12
        

if the pts (1,3) and (5,1) are two opposite vertices of a rectangle and the other two vertices lie on the line Y=2X+C, then the value of c is

8 years ago

Answers : (3)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
							

Dear Deva

diagonals of rectangle bisect each other.let ABCD is rectangle. and A=(1,3), C=(5,1)

Mid point of diagonal AC is (3,2)

mid point of diagonal BD will also be (3,2) and given line is equation of BD

(3,2) will satisfy the equation

put y=2 and x=3

2=6+c

c=-4

All the best.

AKASH GOYAL

AskiitiansExpert-IITD

 

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8 years ago
vikas askiitian expert
509 Points
							

LET ABCD is the rectangle let A,C are (1,3) , (5,1) then mid point of line AC is (3,2) now mid point of line BD is same so line passing through B,D will pass mid point & (3,2) will satisfy the equation of line.. Y = 2X+C at (3,2) 2 = 3*2 + C C= -4

8 years ago
Bhaskar Tiwari
11 Points
							Diagonals bisectors each other so mid point of given diagonal would also be mid point of other i.e, lies on equation and would satisfy so we get close =, - 4 on putting the point on line
						
one year ago
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