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Recent questions in Class11
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JEEMAIN and NEET
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Mathematics
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Class11
Class11
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Probability
Find the locus of a middle point of a system of parallel chords of a circle
x
2
+
y
2
=
a
2
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q151
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the locus of the point of intersection of two perpendicular tangents to a given circle
x
2
+
y
2
=
a
2
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q150
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of tangents from the point A(3,2) to the circle
x
2
+
y
2
+
4
x
+
6
y
+
8
=
0
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q149
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of chord of contact of tangent drawn from a point
(
x
1
,
y
1
)
to the circle
x
2
+
y
2
=
a
2
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q148
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the area of triangle formed by the tangents (4,3) to the circle
x
2
+
y
2
=
9
and the line segment joining their point of contact?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q147
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the length of tangents drawn from the point (4,5) to the circle
x
2
+
y
2
+
3
x
−
2
y
−
11
=
0
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q146
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of the circle(s) which touches the axes and whose centre lies on the line
2
x
−
y
=
3
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q145
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of the circumcircle of the quadilateral formed by the four lines
x
+
y
±
1
=
0
and
x
−
y
±
1
=
0
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q144
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the position of a point (2,3) with respect to circle
x
2
+
y
2
+
4
x
+
4
y
+
4
=
0
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q143
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the shortest and largest distance from the point (2,-7) to the circle
x
2
+
y
2
−
14
x
−
10
y
−
151
=
0
.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q142
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
If two tangents are drawn from a point on the circle
x
2
+
y
2
=
36
to the circle
x
2
+
y
2
=
18
then find the angle between the tangents.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q141
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the parametric form of normal for the circle
x
2
+
y
2
=
a
2
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q140
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
The maximum area of the triangle formed by the circle
x
2
+
y
2
=
a
2
with two of its vertices are diametrically opposite points is?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q139
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
For the equation
(
x
−
2
)
2
+
(
y
−
2
)
2
=
4
find the equation of tangent at
(
2
,
4
)
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q138
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of normal to the circle
(
x
−
2
)
2
+
(
y
−
2
)
2
=
4
at
(
2
,
4
)
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q137
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of normal for the circle,
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
at
(
x
1
,
y
1
)
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q136
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of tangent at the point
p
(
x
1
,
y
1
)
to a circle
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q135
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Discuss the position of the points (2,3) and(1,3) with respect to circle
x
2
+
y
2
−
4
x
+
2
y
−
11
=
0
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q134
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
The abscissac of two points A and B are the roots of the equation
x
2
+
2
a
x
−
b
2
=
0
and their ordinates are the roots of the equation
x
2
+
2
p
x
−
q
2
=
0
.Find the equation and the radius of the circle with AB as diameter.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q133
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the length of the intercept on the straight line
4
x
−
3
y
−
10
=
0
by the circle
x
2
+
y
2
−
2
x
+
4
y
−
20
=
0
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q132
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Equation of tangent of circle whose centre is (0,0) at a point (2,2) which lie on circle?
jeemain
math
class11
coordinate-geometry-conic-sections
circle
ch11
q131
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of circle passing through (0,0) and (0,B)?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q130
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the area of equilateral triangle inscribed in the circle
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q129
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the centre and radius of the circle
x
2
+
y
2
−
2
x
−
4
y
=
9
.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q128
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Write equation of circle whose diametrically opposite point are (1,2) & (-1,-2) is?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q127
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
The radius of a circle with it's center at
(
2
,
1
)
and whose one chord is the diameter of the circle
x
2
+
y
2
−
2
x
−
6
y
+
6
=
0
is:
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the length of sub tangent and sub-normal?(for hyperbola)
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q125
difficult
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of a diameter bisecting a system of parallel chords of slope m of the hyperbola
x
2
a
2
−
y
2
b
2
=
1
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q124
difficult
asked
Feb 10, 2014
by
sreemathi.v
1
answer
A submarine on the surface of the ocean, is on a course parallel to and 60 Km from the shore line as shown in the figure. There are two transmitters, X and Y located 200 Km from each other on the shore line. The submarine uses the signals to figure out that its 50 Km closer to station Y than to X. Find the distance between the submarine to each of the stations.
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation and length of common tangent to hyperbola
x
2
p
2
−
y
2
q
2
=
1
and
y
2
p
2
−
x
2
q
2
=
1
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q122
difficult
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of an rectangular hyperbola whose centre is origin and its asymptotes coincide with the co-ordinate axes?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q121
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of asymptotes for the hyperbola
x
2
a
2
−
y
2
b
2
=
1
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q120
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the locus of intersection of two perpendicular tangent to the hyperbola
x
2
a
2
−
y
2
b
2
=
1
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q119
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of chord of contact for hyperbola
x
2
a
2
−
y
2
b
2
=
1
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q118
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of normal for the hyperbola
x
2
a
2
−
y
2
b
2
=
1
in parametric form?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q117
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of normal to the hyperbola
x
2
a
2
−
y
2
b
2
=
1
at
(
x
1
,
y
1
)
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q116
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of tangent for the hyperbola
x
2
a
2
−
y
2
b
2
=
1
in parametric form?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q115
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of tangent for the hyperbola
x
2
a
2
−
y
2
b
2
=
1
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q114
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
For the equation to represent the hyperbola
x
2
9
−
λ
+
y
2
6
−
λ
=
1
what should be the value of
λ
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q113
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
For what value of
λ
does the line
y
=
2
x
+
λ
touches the hyperbola
16
x
2
−
9
y
2
=
144
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q112
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
If the line
y
=
m
x
+
c
touches the hyperbola
x
2
a
2
+
y
2
b
2
=
1
then find the value of c .
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q111
medium
mock
asked
Feb 10, 2014
by
sreemathi.v
1
answer
The foci of a hyperbola coincide with the foci of the ellipse
x
2
25
+
y
2
9
=
1
.Find the equation of the hyperbola if its ecentricity is 3?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q110
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the length of latus rectum for the hyperbola
x
2
36
−
y
2
16
=
1
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q109
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the general equation of rectangular hyperbola?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q108
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
A hyperbola whose asymptotes includes a right angle is said to be
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q107
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the position of the point (2,3) relative to the hyperbola
9
x
2
−
y
2
=
1
?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q106
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the value of a,b whose foci are (6,4) and (-4,4) and ecentricity is 2?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q105
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Length of conjugate axis is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q104
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Length of transverse axes is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q103
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
For the hyperbola
x
2
36
−
y
2
16
=
1
find the ecentricity?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q102
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
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