is origin and 
is a point on the 
-axis at a distance of 2 units from the origin
Column-I
Column- II
(A)
If 
is equilateral triangle, then the coordinates of 
can be
(p)
(B)
If 
is isosceles such that 
is 
, then coordinates of 
can be
(q)
(C)
If 
is one side of rhombus of area 
units, then other vertices of rhombus can be
(r)
(D)
If 
is a chord of circle with radius equal to 
, then coordinates of point 
on the circumference of the circle such that 
is isosceles can be
(s)
CODES :
A
B
C
D
a)
P
p,s
p,r
q,s
b)
q
p,q
s,r
t
c)
s
p
q
r
d)
s,t
r
p,s
q
is origin and is a point on the -axis at a distance of 2 units from the origin
Column-I
Column- II
(A)
If is equilateral triangle, then the coordinates of can be
(p)
(B)
If is isosceles such that is , then coordinates of can be
(q)
(C)
If is one side of rhombus of area units, then other vertices of rhombus can be
(r)
(D)
If is a chord of circle with radius equal to , then coordinates of point on the circumference of the circle such that is isosceles can be
(s)
CODES :
A
B
C
D
a)
P
p,s
p,r
q,s
b)
q
p,q
s,r
t
c)
s
p
q
r
d)
s,t
r
p,s
q
Question ID - 55401 | SaraNextGen Top Answer
is origin and is a point on the -axis at a distance of 2 units from the origin
Column-I
Column- II
(A)
If is equilateral triangle, then the coordinates of can be
(p)
(B)
If is isosceles such that is , then coordinates of can be
(q)
(C)
If is one side of rhombus of area units, then other vertices of rhombus can be
(r)
(D)
If is a chord of circle with radius equal to , then coordinates of point on the circumference of the circle such that is isosceles can be
(s)
CODES :
A
B
C
D
a)
P
p,s
p,r
q,s
b)
q
p,q
s,r
t
c)
s
p
q
r
d)
s,t
r
p,s
q
|
|
|||||||||
|
Column-I |
Column- II |
||||||||
|
(A) |
If |
(p) |
|
||||||
|
(B) |
If |
(q) |
|
||||||
|
(C) |
If |
(r) |
|
||||||
|
(D) |
If |
(s) |
|
||||||
|
CODES : |
|||||||||
|
|
A |
B |
C |
D |
|
|
|||
|
a) |
P |
p,s |
p,r |
q,s |
|
|
|||
|
b) |
q |
p,q |
s,r |
t |
|
|
|||
|
c) |
s |
p |
q |
r |
|
|
|||
|
d) |
s,t |
r |
p,s |
q |
|
|
|||
(a)
1. Given that points are 
and 
.png)
From figure, 
is equilateral
Hence, 
or 
(for first quadrant) or 
(for fourth quadrant). Then possible coordinates are 
Similarly, for second quadrant, the point is 
And for third quadrant, the point is 
1. Case (i)
If 
, then 
.png)
Hence, point 
is 
. By symmetry, all possible points are 
Case (ii)
.png)
And 
Hence, point 
is 
.by symmetry, all possible points are 
c. .png)
Let
. Area of 
is 
and 
Hence, 
has coordinates 
. By symmetry, all possible coordinates are 
.png)
From the above figure 
has coordinates 
By symmetry, all possible coordinates are 
d. .png)
units 
radius
unit
In 
,
Since 
is isosceles hence point 
lies on perpendicular bisector of 
Hence, the coordinate 
will be 
in first quadrant. By symmetry, all possible coordinates of 
are 