1
WB JEE 2023
+1
-0.25 Let O be the vertex, Q be any point on the parabola x$$^2$$ = 8y. If the point P divides the line segment OQ internally in the ratio 1 : 3, then the locus of P is :

A
$${x^2} = y$$
B
$${y^2} = x$$
C
$${y^2} = 2x$$
D
$${x^2} = 2y$$
2
WB JEE 2023
+2
-0.5 From the focus of the parabola $${y^2} = 12x$$, a ray of light is directed in a direction making an angle $${\tan ^{ - 1}}{3 \over 4}$$ with x-axis. Then the equation of the line along which the reflected ray leaves the parabola is

A
$$y = 2$$
B
$$y = 18$$
C
$$y = 9$$
D
$$y = 36$$
3
WB JEE 2022
+1
-0.25 The point of contact of the tangent to the parabola y2 = 9x which passes through the point (4, 10) and makes an angle $$\theta$$ with the positive side of the axis of the parabola where tan$$\theta$$ > 2, is

A
$$\left( {{4 \over 9},2} \right)$$
B
(4, 6)
C
(4, 5)
D
$$\left( {{1 \over 4},{1 \over 6}} \right)$$
4
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
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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