1
WB JEE 2022
+1
-0.25

A line passes through the point $$( - 1,1)$$ and makes an angle $${\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$ in the positive direction of x-axis. If this line meets the curve $${x^2} = 4y - 9$$ at A and B, then |AB| is equal to

A
$${4 \over 5}$$ unit
B
$${5 \over 4}$$ unit
C
$${3 \over 5}$$ unit
D
$${5 \over 3}$$ unit
2
WB JEE 2022
+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
$${y^2} - x - 6y + 12 = 0$$
3
WB JEE 2022
+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
4
WB JEE 2022
+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
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination