1
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
$$\left( {{1 \over 4},{1 \over 6}} \right)$$
2
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
3
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
$${y^2} - x - 6y + 12 = 0$$
4
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
EXAM MAP
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