4I got range of a as -1 < a < 1/3
1) If ( a , a2 ) be a point lies inside the triangle having sides along the lines 2x+3y=1 ,
x+2y = 3 & y = mx - 3m where m belongs to (-∞,-1/2) u (0,∞) then a lies in the region
(A) a ε R
(B) a ε (-3/2 , -1 )
(C) a ε (-1,0)
(D) a ε (1/3,1)
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4 Answers
42)Let P(z) be a point on the argand plane such that z z + az + az + b =0
where a ε C & b ε R - {-1} & l a l 2 - b > 0
STATEMENT 1 : If arg (z+1)(z - b) = pi/2 , then Im(a) = 0
STATEMENT 2 : If Img(a)>0 & 0 < arg [ (z-x1)/(z-x2) ] < pi/2 , x1,x2 ε R then x1< x2