Given three point on x – y plane as O(0, 0), A(1, 0) & B(–1, 0). Point P moving on the given plane satisfying the condition 
+ 3 
= 0
If the maximum & minimum values of 
is M & m respectively then the value of M 2 + m 2 is
Text Solution
Verified by Experts34
(34)
P = xi + yj ; 
= (x – 1)i + yj ; 
= (x + 1)i + yj
. 
= x 2 – 1 + y 2 ; 
. 
= –1
Now vc 
+ 3 
= 0 ⇒ x 2 + y 2 – 4 = 0 ⇒ x 2 + y 2 = 4
= 
= 
= 
Now from x 2 + y 2 = 4 ls put x = 2 cos θ y = 2 sin θ
= 
; 
max = 
= M
min = 
= m ; M 2 + m 2 = 25 + 9 = 34
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