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

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
2
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

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
3
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

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
$$(1 - {t^2})$$
4
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

If P1P2 and P3P4 are two focal chords of the parabola y2 = 4ax then the chords P1P3 and P2P4 intersect on the

A
directrix of the parabola
B
axis of the parabola
C
latus-rectum of the parabola
D
y-axis
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