1
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $$f\left( \theta \right) = \sin \theta \left( {\sin \theta + \sin 3\theta } \right)$$. Then $$f\left( \theta \right)$$ is
A
$$ \ge 0\,\,$$ only when $$\theta \ge 0$$
B
$$ \le 0$$ for all real $$\theta $$
C
$$ \ge 0$$ for all real $$\theta $$
D
$$ \le 0$$ only when $$\theta \le 0$$
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
The triangle PQR is inscribed in the circle $${x^2}\, + \,\,{y^2} = \,25$$. If Q and R have co-ordinates (3, 4) and ( - 4, 3) respectively, then $$\angle \,Q\,P\,R$$ is equal to
A
$${\pi \over 2}$$
B
$${\pi \over 3}$$
C
$${\pi \over 4}$$
D
$${\pi \over 6}$$
3
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If the circles $${x^2}\, + \,{y^2}\, + \,\,2x\, + \,2\,k\,y\,\, + \,6\,\, = \,\,0,\,\,{x^2}\, + \,\,{y^2}\, + \,2ky\, + \,k\, = \,0$$ intersect orthogonally, then k is
A
2 or $$ - {3 \over 2}$$
B
- 2 or $$ - {3 \over 2}$$
C
2 or $$ {3 \over 2}$$
D
- 2 or $$ {3 \over 2}$$
4
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $$x + y = k$$ is normal to $${y^2} = 12x,$$ then $$k$$ is
A
$$3$$
B
$$9$$
C
$$-9$$
D
$$-3$$
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