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Recent questions in Coordinate Geometry
Questions
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Coordinate Geometry
Find the length of lactus Rectum for the parabola
y
2
=
4
a
x
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q59
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the area of triangle by tangents at the point
P
(
a
t
2
1
,
2
a
t
1
)
&
Q
(
a
t
2
2
,
2
a
t
2
)
for the parabola
y
2
=
4
a
x
.
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q58
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the point of intersection of tangents at any two points on the parabola
y
2
=
4
a
x
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q57
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the point of intersection of normals at any two points on the parabola
y
2
=
4
a
x
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q56
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the relation between
′
t
′
1
meets the parabola again at
′
t
′
2
for the parabola
y
2
=
4
a
x
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q55
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Show that normal to the parabola
y
2
=
4
x
at the point (1,2) meet it again at some point of parabola, find the point?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q54
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the conditions for a co-normal point (h,k) of a parabola
y
2
=
4
a
x
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q53
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of common tangent to the parabola
y
2
=
4
x
and
x
2
=
4
y
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q52
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the area of
Δ
A
B
C
where AC is focal chord of the parabola
y
2
=
4
a
x
& B is the vertex of parabola
y
2
=
4
a
x
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q51
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of straight line touching both
x
2
+
y
2
=
2
and
y
2
=
8
x
.
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q50
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the value of
λ
such that
Δ
=
0
for the equation
x
2
+
y
2
−
3
x
+
2
y
+
λ
=
0
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q49
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of normal for the parabola
y
2
=
4
a
x
in parametric form
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q48
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of tangent at
(
x
1
,
y
1
)
for the parabola
y
2
=
4
a
x
?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q47
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Equation of normal for the parabola
y
2
=
4
a
x
at point
(
x
1
,
y
1
)
is
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q46
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the coordinate of double ordinate of parabola
y
2
=
4
a
x
?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q45
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of parabola whose focus (-4,0) & vertex (0,0)?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q44
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the tangent at the parametric coordinate of parabola
y
2
=
4
a
x
?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q43
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the vertex of parabola
x
2
+
4
x
+
4
−
y
=
0
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q42
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the axis,vertex,focus & equation of directrix for the parabola
y
2
=
4
a
x
?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q41
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
A straight line drawn perpendicular to the axis and terminated at both end of the curve is a _________________ of the parabola.
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q40
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
What is the conic represent
x
2
+
2
x
+
y
+
1
=
0
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q39
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
For the equation
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
to be parabola what should be the conditions?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q38
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
e(ecentricity)=__________ for parabola.
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q37
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of straight line which passes through the intersection of the lines
3
x
−
4
y
+
1
=
0
and
5
x
+
y
−
1
=
0
and
(
2
,
1
)
?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q36
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the area of rhombus formed by the lines
x
±
y
±
1
=
0
?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q35
difficult
asked
Feb 5, 2014
by
sreemathi.v
2
answers
Find the separate equations of the lines represented by the equation
x
2
−
6
x
y
+
8
y
2
=
0
?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q34
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the image of the point
(
2
,
2
)
with respect to the line
x
+
y
+
2
=
0
.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q33
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the coordinates of foot of the perpendicular drawn from the point (2,3) to the line
x
+
y
+
1
=
0
.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q32
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the orthocentre of
Δ
A
B
C
whose vertices are
A
(
0
,
1
)
,
B
(
−
1
,
0
)
,
C
(
1
,
0
)
.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q31
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
The extremities of the diagonal of a square are (1,1) & (-1,-1).Obtain two vertices and equation of diagonal.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q30
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of a straight line on which the perpendicular from the origin makes an angle of
45
∘
with x-axis and which forms a triangle of area 18 sq.units with the coordinate axes
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q29
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find acute as well as obtuse angular bisectors of the lines
x
+
3
y
+
1
=
0
&
2
x
+
5
y
+
2
=
0
.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q28
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
A vertex of an equilateral triangle is (1,1) and the opposite side is
x
+
y
+
1
=
0
.Find the equations of other sides?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q27
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
If p is the length of the perpendicular from the origin to the line
x
a
+
y
6
=
1
then
1
a
2
+
1
b
2
=?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q26
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the joint equation of lines
x
+
y
+
1
=
0
&
x
+
y
−
1
=
0
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q25
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find a point such that it divides the line joining the points A(1,1) & B(3,3) in 2 : 3 ratio?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q24
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
If
a
x
+
y
−
1
=
0
,
x
+
a
y
=
0
,
x
+
y
+
a
=
0
are concurrent then the value of
a
3
−
1
is
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q23
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
If the points (1,1) and (3,5) were to be on the opposite side of the line
3
x
−
5
y
+
a
=
0
.Find the value of a?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q22
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
A
(
1
,
2
)
&
B
(
7
,
6
)
are the two opposite points of straight line (i.e) these two points are on opposite side of a straight line then find a equation of straight line which is equidistant from these two points and also AB is perpendicular to the straight line.
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q21
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the vertices of the square if one of its vertices is (1,1) and the square passes through origin?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q20
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equation of line parallel to
3
x
−
4
y
+
2
=
0
and at a distance 2 from it?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q19
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equation of the line through (1,2) so that the segment of line intercepted between the axes is bisected at this point?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q18
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
The vertices of a triangle are
A
(
10
,
4
)
,
B
(
−
4
,
9
)
and
C
(
−
2
,
−
1
)
.Find the equation of the altitude through A?
jeemain
math
class11
coordinate-geometry
straight-lines
slope-of-a-line
ch10
q17
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
The angle between two lines is
π
4
and the slope of one of them is
1
4
and other is
x
.Find the value of
x
.
jeemain
math
class11
coordinate-geometry
straight-lines
slope-of-a-line
ch10
q16
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find whether the point
A
(
1
,
2
)
,
B
(
3
,
6
)
&
C
(
5
,
10
)
are collinear or not?
jeemain
math
class11
coordinate-geometry
straight-lines
slope-of-a-line
ch10
q15
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the distance between two points (5,6) & (10,12)?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q14
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
The image of the point (4,-3) with respect to the line
y
=
x
is :
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q13
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equations of the bisectors of the angles between the straight lines
3
x
−
4
y
+
6
=
0
and
12
x
+
5
y
−
3
=
0
.
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q12
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the distance between the lines
3
x
−
4
y
+
2
=
0
&
3
x
−
4
y
+
10
=
0
?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q11
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equation of line which is parallel to
3
x
−
4
y
+
10
=
0
.Also find such line through the point (2,2)?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q10
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
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