1
WB JEE 2022
+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
$$(1 - {t^2})$$
2
WB JEE 2022
+2
-0.5 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
3
WB JEE 2021
+1
-0.25 The locus of the vertices of the family of parabolas $$6y = 2{a^3}{x^2} + 3{a^2}x - 12a$$ is
A
$$xy = {{105} \over {64}}$$
B
$$xy = {{64} \over {105}}$$
C
$$xy = {{35} \over {16}}$$
D
$$xy = {{16} \over {35}}$$
4
WB JEE 2021
+1
-0.25 From a point (d, 0) three normal are drawn to the parabola y2 = x, then
A
d = $${1 \over 2}$$
B
d > $${1 \over 2}$$
C
d < $${1 \over 2}$$
D
d = $${1 \over 3}$$
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
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Organic Chemistry
Mathematics
Algebra
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