1
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
$$-3$$
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If the line $$x - 1 = 0$$ is the directrix of the parabola $${y^2} - kx + 8 = 0,$$ then one of the values of $$k$$ is
A
$$1/8$$
B
$$8$$
C
$$4$$
D
$$1/4$$
3
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
In a triangle $$ABC$$, $$2ac\,\sin {1 \over 2}\left( {A - B + C} \right) = $$
A
$${a^2} + {b^2} - {c^2}$$
B
$${c^2} + {a^2} - {b^2}$$
C
$${b^2} - {c^2} - {a^2}$$
D
$${c^2} - {a^2} - {b^2}$$
4
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
In a triangle $$ABC$$, let $$\angle C = {\pi \over 2}$$. If $$r$$ is the inradius and $$R$$ is the circumradius of the triangle, then $$2(r+R)$$ is equal to
A
$$a+b$$
B
$$b+c$$
C
$$c+a$$
D
$$a+b+c$$
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