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Guru Gobind Singh Indraprastha University Common Entrance Test
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Mathematics
List of top Mathematics Questions on Conic sections asked in Guru Gobind Singh Indraprastha University Common Entrance Test
If the line
x
−
1
=
0
x - 1 = 0
x
−
1
=
0
is the directrix of the parabola
y
2
−
k
x
+
8
=
0
y^2 - kx + 8 = 0
y
2
−
k
x
+
8
=
0
, then one of the values of
k
k
k
is
IPU CET - 2018
IPU CET
Mathematics
Conic sections
The eccentricity of the hyperbola
1999
3
(
x
2
−
y
2
)
=
1
\frac{\sqrt{1999}}{3} \left( x^2 - y^2 \right) = 1
3
1999
(
x
2
−
y
2
)
=
1
is
IPU CET - 2018
IPU CET
Mathematics
Conic sections
Determine the form of the conic section described by the equation
x
2
+
y
2
+
2
x
y
−
8
x
+
8
y
=
0
x^2 + y^2 + 2xy - 8x + 8y = 0
x
2
+
y
2
+
2
x
y
−
8
x
+
8
y
=
0
IPU CET - 2018
IPU CET
Mathematics
Conic sections
The line
y
=
m
x
+
C
y = mx + C
y
=
m
x
+
C
will be tangent to the ellipse
x
2
9
+
y
2
4
=
1
\frac{x^2}{9} + \frac{y^2}{4} = 1
9
x
2
+
4
y
2
=
1
if
C
C
C
is equal to
IPU CET - 2018
IPU CET
Mathematics
Conic sections
The length of the axes of the conic
9
x
2
+
4
y
2
−
6
x
+
4
y
+
1
=
0
9x^2 + 4y^2 - 6x + 4y + 1 = 0
9
x
2
+
4
y
2
−
6
x
+
4
y
+
1
=
0
are
IPU CET - 2017
IPU CET
Mathematics
Conic sections
What is the equation of the curve traced by point
M
M
M
, if the sum of distances to
A
(
−
1
,
−
1
)
A(-1, -1)
A
(
−
1
,
−
1
)
and
B
(
1
,
1
)
B(1, 1)
B
(
1
,
1
)
is constant and equals
2
3
2\sqrt{3}
2
3
?
IPU CET - 2016
IPU CET
Mathematics
Conic sections
What is the shape of the figure given by the following equations?
IPU CET - 2016
IPU CET
Mathematics
Conic sections