1
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $$\omega \,\left( { \ne 1} \right)$$ is a cube root of unity and $${\left( {1 + \omega } \right)^7} = A + B\,\omega $$ then $$A$$ and $$B$$ are respectively
A
0, 1
B
1, 1
C
1, 0
D
-1, 1
2
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $$z$$ and $$\omega $$ be two non zero complex numbers such that
$$\left| z \right| = \left| \omega \right|$$ and $${\rm A}rg\,z + {\rm A}rg\,\omega = \pi ,$$ then $$z$$ equals
A
$$\omega $$
B
$$ - \omega $$
C
$$\overline \omega $$
D
$$ - \overline \omega $$
3
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
Consider a circle with its centre lying on the focus of the parabola $${y^2} = 2px$$ such that it touches the directrix of the parabola. Then a point of intersection of the circle and parabola is
A
$$\left( {{p \over 2},p} \right)$$ or $$\left( {{p \over 2},- p} \right)$$
B
$$\left( { {p \over 2}, {p \over 2}} \right)$$
C
$$\left( -{{p \over 2},p} \right)$$
D
$$\left( { - {p \over 2}, - {p \over 2}} \right)$$
4
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
The radius of the circle passing through the foci of the ellipse $${{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1$$, and having its centre at $$(0, 3)$$ is
A
$$4$$
B
$$3$$
C
$$\sqrt {{1 \over 2}} $$
D
$${{7 \over 2}}$$
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