1
JEE Main 2019 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If a directrix of a hyperbola centred at the origin and passing through the point (4, –2$$\sqrt 3 $$ ) is 5x = 4$$\sqrt 5 $$ and its eccentricity is e, then :
A
4e4 – 24e2 + 27 = 0
B
4e4 – 24e2 + 35 = 0
C
4e4 – 12e2 - 27 = 0
D
4e4 + 8e2 - 35 = 0
2
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
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
$${2 \over {\sqrt 5 }}$$
3
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
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) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the following points does not lie on this hyperbola?
A
$$\left( {6,5\sqrt 2 } \right)$$
B
$$\left( {2\sqrt 6 ,5} \right)$$
C
$$\left( { - 6,2\sqrt {10} } \right)$$
D
$$\left( {4,\sqrt {15} } \right)$$
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