1
IIT-JEE 1986
MCQ (Single Correct Answer)
+2
-0.5
The points $$\left( {0,{8 \over 3}} \right),\,\,\left( {1,\,3} \right)$$ and $$\left( {82,\,30} \right)$$ are vertices of
A
an obtuse angled triangle
B
an acute angled triangle
C
a right angled triangle
D
none of these
2
IIT-JEE 1986
MCQ (More than One Correct Answer)
+2
-0.5
All points lying inside the triangle formed by the points $$\left( {1,\,3} \right),\,\left( {5,\,0} \right)$$ and $$\left( { - 1,\,2} \right)$$ satisfy
A
$$3x + 2y \ge 0$$
B
$$2x + y - 13 \ge 0$$
C
$$2x - 3y - 12 \le 0$$
D
$$ - 2x + y \ge 0$$
3
IIT-JEE 1986
MCQ (Single Correct Answer)
+2
-0.5
A vector $$\overline a $$ has components $$2p$$ and $$1$$ with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system, $$\overline a $$ has components $$p + 1$$ and $$1$$, then
A
$$p = 0$$
B
$$p = 1$$ or $$p = - {1 \over 3}$$
C
$$\,p = - 1$$ or $$p = {1 \over 3}$$
D
$$p = 1$$ or $$p = -1$$
4
IIT-JEE 1986
MCQ (More than One Correct Answer)
+2
-0.5
Let $${z_1}$$ and $${z_2}$$ be complex numbers such that $${z_1}$$ $$ \ne $$ $${z_2}$$ and $$\left| {{z_1}} \right| =\,\left| {{z_2}} \right|$$. If $${z_1}$$ has positive real and $${z_2}$$ has negative imaginary part, then $${{{z_1}\, + \,{z_2}} \over {{z_1}\, - \,{z_2}}}$$ may be
A
zero
B
real and positive
C
real and negative
D
purely imaginary
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