FIITJEE AITS FT 6

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 (-âˆž,-1/2) u (0,âˆž) then a lies in the region

(A) a Îµ R

(B) a Îµ (-3/2 , -1 )

(D) a Îµ (1/3,1)

4 Answers

I got range of a as -1 < a < 1/3

2)Let P(z) be a point on the argand plane such that z z + az + az + b =0

where a Îµ C & b Îµ 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 Îµ R then x1< x2

any one who got these cud u plz verify if I'm rite

?????????

[I will work out the sol n at least post ur ans!!)

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