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Ajay Kumar Grade: 11
        If the left hand side of the equation x2 - y 2 + x - 3 y + sec q = 0 can be factorized into two linear

factors then the value of q is
(a)pie/3
b) 7 pie/6
c) 4 pie / 3
d)5 pie / 6
6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

x2 + x + -( y2 + 3y) + secq = 0


x2 + x +1/4 -1/4 -(y2+3y+9/4 - 9/4) + secq = 0                   


(x+1/2)2 - [(y+3/2)2 -9/4] + secq - 1/4 = 0


(x+1/2)2 - (y+3/2)2 + 9/4-1/4+secq = 0


this eq will factorize into two linear factors if the constant term is 0


secq + 2 = 0


cosq = -1/2


q = 2pi/3 , 4pi/3


option c is correct

6 years ago
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