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1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If t1 and t2 be the parameters of the end points of a focal chord for the parabola y2 = 4ax, then which one is true?

A
t1t2 = 1
B
$${{{t_1}} \over {{t_2}}} = 1$$
C
t1t2 = $$-$$1
D
t1 + t2 = $$-$$1
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The vertex of the parabola y2 + 6x $$-$$ 2y + 13 = 0 is

A
(1, $$-$$1)
B
($$-$$2, 1)
C
$$\left( {{3 \over 2},1} \right)$$
D
$$\left( { - {7 \over 2},1} \right)$$
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The coordinates of a moving point P are (2t2 + 4, 4t + 6). Then its locus will be a/an

A
circle
B
straight line
C
parabola
D
ellipse
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The locus of the middle points of all chords of the parabola y2 = 4ax passing through the vertex is

A
a straight line
B
an ellipse
C
a parabola
D
a circle
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