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Recent questions in Coordinate Geometry
Questions
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Coordinate Geometry
The focus of the parabola
y
2
−
x
−
2
y
+
2
=
0
is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If polar of the parabola
x
2
=
4
a
y
is always touching the parabola
y
2
=
4
a
x
then locus of the pole is :
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
Equation of the parabola if its vertex and focus are
(
−
2
,
3
)
and
(
1
,
−
1
)
respectively is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
Line
y
=
m
x
+
c
will touch the parabola <Br>
x
2
=
4
a
y
if,
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The common tangent to the parabola
y
2
=
4
a
x
and
x
2
=
4
a
y
is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The normal at
(
a
,
2
a
)
on
y
2
=
4
a
x
meets the curve again at
(
a
t
2
,
2
a
t
)
then the value of t is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If the parabolas
Y
2
=
4
x
and
x
2
=
32
y
intersect at
(
16
,
8
)
at an angle
θ
then
θ
is equal to
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The length of a focal chord of the parabola
y
2
=
4
a
x
making an angle
θ
with the axis of the parabola is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The ratio in which the line segment joining the points
(
4
,
−
6
)
and
(
3
,
1
)
is divided by the parabola
y
2
=
4
a
x
is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
Find the points of the conic
y
=
x
2
+
7
x
+
2
which is nearest to the line
3
x
−
y
−
3
=
0
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
Find the equation of the chord of the parabola
y
2
=
12
x
which is bisected at
(
5
,
−
7
)
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The radius of the circle passing through the foci of the ellipse
x
2
16
+
y
2
9
=
1
and having its center at
(
0
,
3
)
is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The equation
2
x
2
+
3
y
2
−
8
x
−
18
y
+
35
=
k
represents
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The circle passing through
(
1
,
−
2
)
and touching the axis of x at
(
3
,
0
)
also passes through the point.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The length of the diameter of the circle which touches the x-axis at the point
(
1
,
0
)
and passes through the point
(
2
,
3
)
is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The circle
x
2
+
y
2
=
4
x
+
8
y
+
5
intersects the line
3
x
−
4
y
=
m
at the two distinct points if
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
If a circle passes through the points
(
a
,
b
)
and cuts the circle
x
2
+
y
2
=
4
orthogonally, then the locus of its centre is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The two circles
x
2
+
y
2
=
a
x
and
x
2
+
y
2
=
c
2
(
c
>
0
)
touch each other if
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
Intercept on the line
y
=
x
by the circle
x
2
+
y
2
−
2
x
=
0
is
A
B
equation of the circle on AB as a diameter is :
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If the lines
2
x
+
3
y
+
1
=
0
,
3
x
−
y
−
4
=
0
lie along diameter of a circle of circumference
10
π
then the equation of the circle is :
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The lines
2
x
−
3
y
=
5
and
3
x
−
4
y
=
7
are diameters of a circle having area as
154
sq.units. The equation of the circle is .
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
If the two circles
(
x
−
1
)
2
+
(
y
−
3
)
2
=
r
2
and
x
2
+
y
2
−
8
x
+
2
y
+
8
=
0
intersect in two distinct point then
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The centre of the circle passes through
(
0
,
0
)
and
(
1
,
0
)
and touching the circle
x
2
+
y
2
=
9
is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the chord
y
=
m
x
+
1
of the circle
x
2
+
y
2
=
1
substance on angle of measures
45
∘
at the major segment of the circle then value of m is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The number of common tangent to the circle
x
2
+
y
2
=
4
and
x
2
+
y
2
−
6
x
−
8
y
=
24
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The circle passing through the point
(
−
1
,
0
)
and touching the y-axis at
(
0
,
2
)
also passes through the point .
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The center of circle inscribed in square formed by the lines
x
2
−
8
x
+
12
=
0
and
y
2
−
14
y
+
45
=
0
is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the tangent at the point P on the circle
x
2
+
y
2
+
6
x
=
2
meets a straight line
5
x
−
2
y
+
6
=
0
at a point Q on the y-axis , then the length of
P
Q
is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Find the point of intersection of the line
4
x
−
3
y
−
10
=
b
and circle
x
2
+
y
2
−
2
x
+
4
y
−
20
=
0
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
There are 10 points in a plane out of these 6 are collinear. If N is the number of triangle formed by joining these points. Then
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The line
p
(
p
2
+
1
)
x
−
y
+
q
=
0
and
(
p
2
+
1
)
2
x
+
(
p
2
+
1
)
y
+
2
q
=
0
are perpendicular to a common line for
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The shortest distance between the line
y
−
x
=
1
and the curve
x
=
y
2
is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The perpendicular bisector of the line segment joining
P
(
1
,
4
)
and
Q
(
K
,
3
)
has y-intercept
−
4
, Then a possible value of
k
is
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
A straight line through the point
A
(
3
,
4
)
is such that its intercept between the axis is bisected at A. Its equation is
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If one of the lines given by
6
x
2
−
x
y
+
4
c
y
2
=
0
is
3
x
+
4
y
=
0
then c equals
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the sum of the slopes of the lines given by
x
2
−
2
c
x
y
−
7
y
2
=
0
is four times their product c has the value.
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Let
A
(
2
,
3
)
and
B
(
−
2
,
3
)
be vertices of a triangle ABC. If the centriod of this triangle moves on the line
2
x
+
3
y
=
1
then the locus of the vertex C is the line .
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Locus of centriod of the triangle whose vertices are
(
a
cos
t
,
a
sin
t
)
,
(
b
sin
t
,
−
b
cos
t
)
and
(
1
,
0
)
where t is a parameter is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the pair of straight lines
x
2
−
2
p
x
y
−
y
2
=
0
and
x
2
−
2
q
x
y
−
y
2
=
0
be such that each pair bisects the angle between the other pair then,
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The pair of lines represented by
3
a
x
2
+
5
x
y
+
(
a
2
−
2
)
y
2
=
0
are perpendicular to each other for
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the pair of lines
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
intersect on the y-axis then
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
A triangle with vertices
(
4
,
0
)
,
(
−
1
,
−
1
)
,
(
3
,
5
)
is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
If a,b and c are in A.P thin the straight line
a
x
+
b
y
+
c
=
0
will always pass through line
a
x
+
b
y
+
c
=
0
will always pass through a fixed point whose coordinates are
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Given the points
A
(
0
,
4
)
and
B
(
0
,
−
4
)
the equation of the locus of the point
P
(
x
,
y
)
such that
|
A
P
−
B
P
|
=
6
is
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The set of lines
a
x
+
b
y
+
c
=
0
where
3
a
+
2
b
+
4
c
=
0
is concurrent at the point.
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The area enclosed within the curve
|
x
|
+
|
y
|
=
1
is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
A bird is sitting on top of a vertical pole 20m high and its elevation from point O on the ground is 45
∘
. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30
∘
. Then the speed in m/s of the bird is?
jeemain
math
class11
coordinate-geometry-conic -sections
circles
jeemain-2014
q36
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
The image of the line
x
−
1
3
=
y
−
3
1
=
z
−
4
−
5
in the place
2
x
−
y
+
z
+
3
=
0
is the line:
jeemain
math
coordinate-geometry
jeemain-2014
q31
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
Find the angle of intersection of two circles?
cl27555
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q154
difficult
asked
Mar 27, 2014
by
balaji.thirumalai
1
answer
Find the equation of normal in slope form for the hyperbola?
cl27395
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q123
difficult
asked
Mar 26, 2014
by
balaji.thirumalai
1
answer
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