1
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If the line y = mx + 7$$\sqrt 3$$ is normal to the hyperbola $${{{x^2}} \over {24}} - {{{y^2}} \over {18}} = 1$$ , then a value of m is
A
$${3 \over {\sqrt 5 }}$$
B
$${{\sqrt 15 } \over 2}$$
C
$${{\sqrt 5 } \over 2}$$
D
$${2 \over {\sqrt 5 }}$$
2
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is
A
24
B
20
C
25
D
22
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
If the eccentricity of the standard hyperbola passing through the point (4,6) is 2, then the equation of the tangent to the hyperbola at (4,6) is
A
2x – y – 2 = 0
B
3x – 2y = 0
C
2x – 3y + 10 = 0
D
x – 2y + 8 = 0
4
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
The tangent to the parabola y2 = 4x at the point where it intersects the circle x2 + y2 = 5 in the first quadrant, passes through the point :
A
$$\left( { - {1 \over 4},{1 \over 2}} \right)$$
B
$$\left( { - {1 \over 3},{4 \over 3}} \right)$$
C
$$\left( { {3 \over 4},{7 \over 4}} \right)$$
D
$$\left( { {1 \over 4},{3 \over 4}} \right)$$
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