1
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $${z_1},\,{z_2}$$ and $${z_3}$$ are complex numbers such that $$\left| {{z_1}} \right| = \left| {{z_2}} \right| = \left| {{z_3}} \right| = \left| {{1 \over {{z_1}}} + {1 \over {{z_2}}} + {1 \over {{z_3}}}} \right| = 1,$$ then $$\left| {{z_1} + {z_2} + {z_3}} \right|$$ is
A
equal to 1
B
less than 1
C
greater than 3
D
equal to 3
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $$\arg \left( z \right) < 0,$$ then $$\arg \left( { - z} \right) - \arg \left( z \right) = $$
A
$$\pi $$
B
$$ - \pi $$
C
$$ - {\pi \over 2}$$
D
$${\pi \over 2}$$
3
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If b > a, then the equation (x - a) (x - b) - 1 = 0 has
A
both roots in (a, b)
B
both roots in (- $$\infty $$, a)
C
both roots in (b, + $$\infty $$)
D
one root in (- $$\infty $$, a) and the other in (b, + $$\infty $$)
4
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If a, b, c, d are positive real numbers such that a + b + c + d = 2, then M = (a + b) (c + d) satisfies the relation
A
$$0 \le M \le 1$$
B
$$1 \le M \le 2$$
C
$$2 \le M \le 3$$
D
$$3 \le M \le 4$$
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