The point A(1-2) B(2,3) C(K,2) and d (-4,-3) ar the vortices of a parallogram find the value of k
Answers
Answered by
3
Answer:
Step-by-step explanation:
Abcd is a parallelogram
Diagonals of parallelogram bisect each other
Coordinates of mid point of ac =Coordinates of mid point of bd
(1+k/2, - 2+2/2)=(2-4/2, 3-3/2)
1+k/2,0 = - 1,0
On comparing,
K=-3
Answered by
3
Answer:
K = 2.3245
or, K = -10.3245
Step-by-step explanation:
Opposite sides of a parallelogram are equal.
Therefore,
AB = √((2 - 1)² + (3-(-5)²) = √(1 + 64) = √65
CD = √((K-(-4))² + (2-(-3))²) = √(K² + 16 + 8K + 25)
AB = CD
=> √(K² + 16 + 8K + 25) = √65
Squaring both sides
=> K² + 8K + 41 = 65
=> K² + 8K - 24 = 0
Applying shridhar acharya formula
K = (-b ± √(b² - 4ac))/2a
Where, a=1 b=8 c=-24
K = 2.3245
or, K = -10.3245
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