1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25

Let P be a point on (2, 0) and Q be a variable point on (y $$-$$ 6)2 = 2(x $$-$$ 4). Then the locus of mid-point of PQ is

A
$${y^2} + x + 6y + 12 = 0$$
B
$${y^2} - x + 6y + 12 = 0$$
C
$${y^2} + x - 6y + 12 = 0$$
D
$${y^2} - x - 6y + 12 = 0$$
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25

AB is a chord of a parabola y2 = 4ax, (a > 0) with vertex A. BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the axis of the parabola is

A
a unit
B
2a unit
C
8a unit
D
4a unit
3
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5

From the point ($$-$$1, $$-$$6), two tangents are drawn to y2 = 4x. Then the angle between the two tangents is

A
$$\pi$$/3
B
$$\pi$$/4
C
$$\pi$$/6
D
$$\pi$$/2
4
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5

Let the tangent and normal at any point P(at2, 2at), (a > 0), on the parabola y2 = 4ax meet the axis of the parabola at T and G respectively. Then the radius of the circle through P, T and G is

A
$$a(1 + {t^2})$$
B
$${(1 + t)^2}$$
C
$$a(1 - {t^2})$$
D
$$(1 - {t^2})$$
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