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Arshia Sharma
Subject: Maths
, asked on 23/12/17
What is the general equation of conics? Plz tell me the value of 'h' and 'e' for each conic..
Answer
1
Aishwarya
Subject: Maths
, asked on 22/12/17
Solve this :
Answer
1
Anika Kapoor
Subject: Maths
, asked on 21/12/17
Q.9
Answer
1
Anika Kapoor
Subject: Maths
, asked on 21/12/17
Q.8
Answer
1
Athul Vincent
Subject: Maths
, asked on 19/12/17
Prove that the circles
x
2
+
y
2
+
24
u
x
+
2
v
y
=
0
and
x
2
+
y
2
+
2
u
1
x
+
2
v
1
y
=
0
touch each other if 12
uv
1
=
u
1
v
.
Answer
1
Athul Vincent
Subject: Maths
, asked on 19/12/17
Q. If two curves ax
2
+2hxy+by
2
+2gx+2fy+c = 0 and a'x
2
+2h'xy+b'y
2
+2g'x+2f ' y +c ' = 0 intersect in four concyclic points then prove that a-b/h = a'-b'/h'
Answer
1
Athul Vincent
Subject: Maths
, asked on 19/12/17
Solve: iii) Find the equation of the circle passing through the points of contact of the direct common tangent of x
2
+y
2
= 16 and x
2
+y
2
-12 x+32 = 0
Answer
1
Harsh Anand
Subject: Maths
, asked on 14/12/17
If P(x1,y1), Q(x2,y2) R(x3,y3) S(x4,y4) are four concyclic points on the rectangular hyperbola xy=c^2 then the coordinates of orthocenter of Triangle
Answer
1
Athul Vincent
Subject: Maths
, asked on 12/12/17
In the picture attached , you can see that the two equations have been made "Homogeneous" . 1. When can we say that two equations are homogeneous? 2. How can we make two equations homogeneous?3. Why is that 2(gy+fx) is multiplied by the term once while c is multiplied twice?
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
c
=
0
.
.
.
.
.
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.
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t
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a
i
g
h
t
l
i
n
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b
e
l
x
+
m
y
+
n
=
0
.
.
.
.
.
.
.
.
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.
.
.
.
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n
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t
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a
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Q
c
a
n
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e
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t
a
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o
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.
T
h
u
s
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u
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l
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b
y
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
f
y
l
x
+
m
y
-
n
+
c
l
x
+
m
y
-
n
2
=
0
Answer
1
Athul Vincent
Subject: Maths
, asked on 12/12/17
Derive an equation for the point of intersection of two tangents drawn to a parabola
Answer
1
Athul Vincent
Subject: Maths
, asked on 12/12/17
Equation of the line of lactus rectum of the curve xy=4 is
Answer
1
Athul Vincent
Subject: Maths
, asked on 12/12/17
The curves y
2
= 4a(x+2) (a>0) and x
2
+ y
2
= 4 intersect each other in points A and B, then value of 'a' [or which area of the region bounded by the parabola and chord AB is maximum is given by
Answer
1
Athul Vincent
Subject: Maths
, asked on 12/12/17
How is it that lx + my = 1 has been rewritten as shown in the image. Please provide examples to illustrate similar rearrangement
Answer
1
Athul Vincent
Subject: Maths
, asked on 12/12/17
"For a given parabola and a given point (h, k), this cubic in m has three roots say m1, m2, m3 i.e. from (h, k) three normals can be drawn to the parabola whose slopes are m1, m2, m3. For this cubic, we have m
1
+ m
2
+ m
3
= 0, m
1
m
2
+ m
2
m
3
+ m
3
m
1
= (2a – h)/a and m
1
m
2
m
3
= –k/a."
Prove :
1. m1 m2 + m2 m3 + m3 m1 = (2a – h)/a
2.m1 m2 m3 = –k/a.
Answer
1
Pratik Kadam
Subject: Maths
, asked on 12/12/17
Q.81
A
c
o
m
m
o
n
tan
g
e
n
t
t
o
t
h
e
c
o
n
i
c
s
x
2
=
6
y
a
n
d
2
x
2
-
4
y
2
=
9
,
A
.
x
+
y
=
1
B
.
x
-
y
=
1
C
.
x
+
y
=
9
2
D
.
x
-
y
=
3
2
Answer
1
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What are you looking for?
Prove :
1. m1 m2 + m2 m3 + m3 m1 = (2a – h)/a
2.m1 m2 m3 = –k/a.