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Recent questions in Mathematics
Questions
>>
JEEMAIN and NEET
>>
Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
Sets, Relations and Functions
Find the solution :
√
x
−
2
√
y
−
1
d
y
=
√
y
+
1
√
x
+
2
d
x
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q73
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Find the vertex and focus of the parabola
x
2
64
+
y
2
100
=1.
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q72
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Solve :
d
y
d
x
=
√
16
x
2
y
−
4
x
2
y
2
y
(
2
)
=
1
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q72
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find the position of the point (1,1) relative to the ellipse
x
2
64
+
y
2
100
=1.
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q71
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Solve :
(
x
2
+
1
)
d
y
=
(
4
x
+
x
y
2
)
d
x
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q71
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Solve :
e
x
y
d
x
=
(
e
2
x
+
1
)
d
y
y
cos
=
1
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q70
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find the eccentricity of ellipse
x
2
64
+
y
2
100
=
1
?
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q70
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
y
=
e
(
t
+
2
)
x
is a solution of equation
d
2
y
d
x
2
−
4
d
y
d
x
+
4
y
=
0
then t equals
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q69
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Name the axes are their in the ellipse
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q69
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find solution :
d
y
d
x
=
1
+
√
y
−
x
+
3
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q68
medium
asked
Feb 6, 2014
by
meena.p
1
answer
A ellipse is the locus of a point which moves in a plane such that its distance from a fixed point (i.e focus) is a constant ratio from a _____________
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q68
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find solution :
d
y
d
x
=
y
(
x
2
y
2
−
1
)
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q67
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find the length of tangent,subtangent,normal and subnormal to
y
2
=
4
a
x
at
(
a
t
2
,
2
a
t
)
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q67
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the solution :
x
2
y
′
=
1
−
x
y
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q66
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Find the solution :
−
x
d
y
+
(
y
+
√
x
y
)
d
x
=
0
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q65
difficult
asked
Feb 6, 2014
by
meena.p
1
answer
Determine functions
y
=
2
e
−
x
+
3
e
2
x
is solution to which of following differential equation
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q64
medium
asked
Feb 6, 2014
by
meena.p
1
answer
If the normal to a parabola
y
2
=
4
a
x
make an angle
θ
with the axis and
ϕ
is the angle it makes when it cut the parabola again find the relation between
θ
&
ϕ
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q66
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Solve :
y
d
x
+
x
d
y
+
sin
y
cos
2
(
x
y
)
d
y
+
e
x
cos
2
(
x
y
)
d
x
=
0
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q63
difficult
asked
Feb 6, 2014
by
meena.p
1
answer
Find curve in
x
−
y
plane which passes through
(
1
,
1
)
. Intersects line
y
=
x
at right angle at that point and satisfies
x
y
″
+
2
y
″
=
0
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q62
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find the vertex,lactus rectum,axis and the directix of the parabola
(
y
−
2
)
2
=
4
(
x
−
1
)
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q65
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the curve
y
=
f
(
x
)
through the origin for which
y
″
=
y
′
and tangent at origin is
y
=
x
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q61
difficult
asked
Feb 6, 2014
by
meena.p
1
answer
Find all curves in x-y plane such that tangent at each point (x,y) of curves intersects the x-axis at
(
x
−
1
,
0
)
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q60
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Find all curves in x-y plane such that tangent at each point (x,y) of curves intersects the x-axis at
(
x
−
1
,
0
)
jeemain
math
class12
unit10
differential-equations
q60
easy
asked
Feb 6, 2014
by
meena.p
0
answers
Find the area of triangle inscribed in the parabola
y
2
=
4
a
x
with vertices
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
&
(
x
3
,
y
3
)
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q64
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the centroid of the triangle formed by the feet of the three normal lies on the axis of parabola?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q63
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the equation of tangent to the parabola
(
y
−
6
)
2
=
4
a
(
x
−
p
)
at
(
a
t
2
,
2
a
t
)
?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q62
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the locus of the points of intersection of the mutually perpendicular tangents to a parabola?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q61
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the equation of parabola whose vertex is (4,2) and focus is (6,2)?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q60
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
The initial value problem governing the current i following in an RL circuit when a step voltage of magnitude
∈
is applied to circuit at
t
=
0
is given by (R, L, t are constants )
i
R
=
L
d
i
d
t
=∈
,
t
>
0
,
i
(
0
)
=
0
Determine limiting value of i as
t
→
∞
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q59
medium
asked
Feb 6, 2014
by
meena.p
1
answer
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
A ratio active substance dis integrals at a rate proportional to amount of substance present.
50
%
of amount disintegrates in
1000
years. Approximately what
%
of substance will disintegrate in
50
years ?
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q58
medium
asked
Feb 6, 2014
by
meena.p
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
A drop of liquid evaporates at a rate proportional to its area of surface. If the radius initially is
4
m
m
and
5
minutes later, the radius is reduced to
2
m
m
, find radius of drop as a function of time ?
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q57
medium
asked
Feb 6, 2014
by
meena.p
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
Observation show that rate of change of atmosphere pressure P with attitude h is proportional to pressure. Assume that pressure at 6000 meter is half of its value
P
0
at sea level, find formula for pressure at any height.
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q56
easy
asked
Feb 6, 2014
by
meena.p
1
answer
The growth rates of a bacteria population is proportional to its size. Initially the population is
10
,
000
while after 10 days its size is
25
,
000
. What will be population after 20 days?
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q55
easy
asked
Feb 6, 2014
by
meena.p
1
answer
find value of
K
1
and
K
2
for which
y
=
x
K
1
+
K
2
is a solution of differential equation
y
″
−
2
y
′
−
3
y
=
x
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q54
easy
asked
Feb 6, 2014
by
meena.p
1
answer
The degree and order of differential equation of family of parabolas whose length of latus rectum is fixed and axis is x-axis ,are respectively
jeemain
math
class12
ch9
differential-equations
degree-of-a-differential-equation
q53
medium
asked
Feb 5, 2014
by
meena.p
1
answer
Find the solution :
y
(
log
x
−
1
)
y
d
x
=
x
d
y
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q52
medium
asked
Feb 5, 2014
by
meena.p
1
answer
Solve and get solutions :
(
x
+
y
d
y
d
x
)
=
(
y
−
x
d
y
d
x
)
(
x
4
+
y
6
x
2
+
3
(
x
2
y
2
+
y
4
)
)
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q51
difficult
asked
Feb 5, 2014
by
meena.p
1
answer
Solution of differential equation
d
y
d
x
+
y
x
=
x
3
y
5
is which of the following?
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q50
medium
asked
Feb 5, 2014
by
meena.p
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
The solution of differential equation
(
x
2
−
1
)
d
y
d
x
+
2
x
y
=
1
x
2
−
1
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q49
easy
asked
Feb 5, 2014
by
meena.p
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
Which of the following equation is linear ?
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q48
easy
asked
Feb 5, 2014
by
meena.p
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
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