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Recent questions in Analytical Geometry
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TN XII Math
>>
Analytical Geometry
Find the equation of the hyperbola if foci:
(
6
,
−
1
)
and
(
−
4
,
−
1
)
and passing through the point
(
4
,
−
1
)
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p238
q1
q1-9
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if centre :
(
1
,
4
)
;
one of the foci
(
6
,
4
)
and the corresponding directrix is
x
=
9
4
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p238
q1
q1-8
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if foci:
(
±
3
,
5
)
;
e
=
3
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p238
q1
q1-7
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if foci:
(
0
,
±
8
)
; length of transverse axis is
12
.
tnstate
class12
bookproblem
ch4
exercise4-3
p238
q1
q1-6
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if centre:
(
2
,
5
)
; the distance between the direction is
15
the distance between the foci is
20
and the transverse axis is parallel to y-axis.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p237
q1
q1-5
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if centre :
(
1
,
−
2
)
length of the transverse axis is
8
;
e
=
5
4
and the transverse axis is parallel to x- axis.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p237
q1
q1-4
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if centre:
(
0
,
0
)
length of the semi-transverse axis is
5
;
e
=
7
5
and the conjugate axis is along x-axis.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p237
q1
q1-2
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if focus :
(
2
,
3
)
;
corresponding directrix :
x
+
2
y
=
5
,
e
=
2
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p237
q1
q1-1
asked
Apr 11, 2013
by
poojasapani_1
1
answer
The arch of a bridge is in the shape of a semi-ellipse having a horizontal span of
40
f
t
and
16
f
t
high at the centre. How high is the arch
9
f
t
from the right or left of the centre .
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p218
q10
asked
Apr 11, 2013
by
poojasapani_1
1
answer
The orbit of the planet mercury around the sun is in elliptical shape with sun at a focus. The semi-major axis is of length
36
million miles and the eccentricity of the orbit is
0.206
The greatest possible distance between mercury and sun.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p218
q9
q9-2
asked
Apr 11, 2013
by
poojasapani_1
1
answer
The orbit of the planet mercury around the sun is in elliptical shape with sun at a focus. The semi-major axis is of length
36
million miles and the eccentricity of the orbit is
0.206
Find how close the mercury gets to sun?
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p218
q9
q9-1
modelpaper
oct-2009
asked
Apr 11, 2013
by
poojasapani_1
1
answer
A satellite is travelling around the earth in an elliptical orbit having the earth heat a focus and of eccentricity
1
2
.
The shortest distance that the satellite get to the earth is
400
k
m
s
.
Find the longest distance that the satellite gets from the earth.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q8
modelpaper
jun-2007
jun-2008
asked
Apr 11, 2013
by
poojasapani_1
1
answer
A kho-kho player in a practice session while running realises that the sum of the distances from the two kho-kho poles from him is always
8
m
.Find the equation of the path traced by him if the distance between the poles is
6
m
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q7
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram:
16
x
2
+
9
y
2
+
32
x
−
36
y
=
92
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-4
modelpaper
jun-2009
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram:
9
x
2
+
4
y
2
=
36
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram:
x
2
+
4
y
2
−
8
x
−
16
y
−
68
=
0
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram:
16
x
2
+
25
y
2
=
400
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-1
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses:
3
x
2
+
2
y
2
−
30
x
−
4
y
+
23
=
0
tnstate
class12
bookproblem
c4
sec-1
exercise4-2
p217
q5
q5-4
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses:
x
2
+
4
y
2
−
8
x
−
16
y
−
68
=
0.
tnstate
class12
bookproblem
c4
sec-1
exercise4-2
p217
q5
q5-3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses:
9
x
2
+
16
y
2
=
144
tnstate
class12
bookproblem
q4
sec-1
exercise4-2
p217
q5
q5-2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses:
25
x
2
+
169
y
2
=
4225
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p217
q5
q5-1
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations and length of major and minor axes of
16
x
2
+
9
y
2
+
32
x
−
32
y
−
92
=
0
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q4
q4-4
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations and length of major and minor axes of
9
x
2
+
4
y
2
=
20
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q4
q4-3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations and length of major and minor axes of
5
x
2
+
9
y
2
+
10
x
−
36
y
−
4
=
0
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q4
q4-2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations and length of major and minor axes of
9
x
2
+
25
y
2
=
225
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q4
q4-1
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the locus of the point which moves so that the sum of its distances from
(
3
,
0
)
and
(
−
3
,
0
)
is
9.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
If the centre of the ellipes is
(
4
,
−
2
)
and one of the focus is
(
4
,
2
)
,
find the other focus?
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the vertices are
(
±
4
,
0
)
and
e
=
√
3
2
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-9
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the foci are
(
±
3
,
0
)
,
and the length of the latus rectum is
32
5
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-8
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the centre is
(
3
,
−
1
)
,
one of the foci is
(
6
,
−
1
)
and passing through the point
(
8
,
−
1
)
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-7
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the length of the semi major axis, and the latus rectum are
7
and
80
7
respectively, the centre is
(
2
,
5
)
and the major axis is parallel to y- axis.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-6
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the centre at the origin, the major axis is along
x
-axies,
e
=
2
3
and passes through the point
(
2
,
−
5
3
)
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-5
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the centre is
(
3
,
−
4
)
,
one of the foci is
(
3
+
√
3
,
−
4
)
and
e
=
√
3
2
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p216
q1
q1-4
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the foci are
(
±
3
,
0
)
and the vertices are
(
±
5
,
0
)
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p216
q1
q1-3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the foci are
(
2
,
−
1
)
,
(
0
,
−
1
)
and
e
=
1
2
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p216
q1
q1-2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if One of the foci is
(
0
,
−
1
)
, the corresponding directrix is
3
x
+
16
=
0
and
e
=
3
5
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p216
q1
q1-1
asked
Apr 10, 2013
by
poojasapani_1
1
answer
A cable of a suspension bridge is in the form of a parabola whose span is
40
m
t
s
. The road way is
5
m
t
s
below the lowest point of the cable . if an extra support is provided across the cable
30
m
t
s
above the ground level, Find the length of the support if the height of the pillars are
55
m
t
s
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p193
q5
jun-2006
oct-2007
modelpaper
asked
Apr 9, 2013
by
poojasapani_1
1
answer
The focus of a parabolic mirror is at a distance of
8
c
m
from its centre (vertex) ,if the mirror is
25
c
m
deep, find the diameter of the mirror.
tnstate
class12
bookproblem
exercise4-1
ch4
sec-1
p193
q4
asked
Apr 9, 2013
by
poojasapani_1
1
answer
If a parabolic reflector is
20
c
m
in diameter and
5
c
m
deep, find the distance of the focus from the centre of the reflector.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q3
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.
x
2
−
6
x
−
12
y
−
3
=
0
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-5
modelpaper
mar-2010
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.
y
2
+
8
x
−
6
y
+
1
=
0
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-4
modelpaper
mar-2007
oct-2006
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.
(
x
−
4
)
2
=
4
(
y
+
2
)
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-3
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.
x
2
=
20
y
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-2
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.
y
2
=
−
8
x
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-1
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex
(
2
,
3
)
open upward ;and passing through the point
(
6
,
4
)
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-9
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if :Vertex
(
3
,
−
1
)
;
open rightward ; the distance between the latus recturm and directrix is
4
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-8
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex
(
3
,
−
2
)
;
open downward and the length of the latus rectum is
8
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-7
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex
(
1
,
2
)
;
latus recturm :
y
=
5
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-5
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex
(
1
,
4
)
;
focus :
(
−
2
,
4
)
.
tnstate
class12
bookproblem
sec-1
ch4
exercise4-1
p192
q1
q1-4
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex
(
0
,
0
)
;
focus :
(
0
,
−
4
)
.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-3
asked
Apr 9, 2013
by
poojasapani_1
1
answer
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