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(i) 
P(5,0)
(ii) 
Q(0-2)
(iii) 
R(-4,0)
(iv) 
S(0,5)
2. Let 
ABCD be a square of side 
2a. Find the coordinates of the vertices of this square when
(i) A coincides with the origin and 
AB and 
AD are along 
OX and 
OY respectively.
(ii) The centre of the square is at the origin and coordinate axes are parallel to the sides 
AB and 
AD respectively.
BASED ON LOTS
3. The base 
PQ of two equilateral triangles 
PQR and 
PQR^(') with side 
2a lies along 
y-axis such that the

(i) P(5,0) P(5,0) \newline(ii) Q(02) Q(0-2) \newline(iii) R(4,0) R(-4,0) \newline(iv) S(0,5) S(0,5) \newline22. Let ABCD A B C D be a square of side 2a 2 a . Find the coordinates of the vertices of this square when\newline(i) A coincides with the origin and AB A B and AD A D are along OX O X and OY O Y respectively.\newline(ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB A B and AD A D respectively.\newlineBASED ON LOTS\newline33. The base Q(02) Q(0-2) 22 of two equilateral triangles Q(02) Q(0-2) 33 and Q(02) Q(0-2) 44 with side 2a 2 a lies along Q(02) Q(0-2) 66-axis such that the

Full solution

Q. (i) P(5,0) P(5,0) \newline(ii) Q(02) Q(0-2) \newline(iii) R(4,0) R(-4,0) \newline(iv) S(0,5) S(0,5) \newline22. Let ABCD A B C D be a square of side 2a 2 a . Find the coordinates of the vertices of this square when\newline(i) A coincides with the origin and AB A B and AD A D are along OX O X and OY O Y respectively.\newline(ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB A B and AD A D respectively.\newlineBASED ON LOTS\newline33. The base Q(02) Q(0-2) 22 of two equilateral triangles Q(02) Q(0-2) 33 and Q(02) Q(0-2) 44 with side 2a 2 a lies along Q(02) Q(0-2) 66-axis such that the
  1. Identify Point P: Identify the coordinates of point P.\newlineCalculation: P(5,0)P(5,0) means PP is 55 units along the xx-axis and 00 units along the yy-axis.
  2. Identify Point Q: Identify the coordinates of point Q.\newlineCalculation: Q(0,2)Q(0,-2) means QQ is 00 units along the xx-axis and 2-2 units along the yy-axis.
  3. Identify Point R: Identify the coordinates of point R.\newlineCalculation: R(4,0)R(-4,0) means RR is 4-4 units along the xx-axis and 00 units along the yy-axis.
  4. Identify Point S: Identify the coordinates of point S.\newlineCalculation: S(0,5)S(0,5) means SS is 00 units along the xx-axis and 55 units along the yy-axis.
  5. Find Square Vertices with A at Origin: Find the coordinates of the vertices of square ABCD when A is at the origin.\newlineCalculation: A(0,0)A(0,0), B(2a,0)B(2a,0), C(2a,2a)C(2a,2a), D(0,2a)D(0,2a).
  6. Find Square Vertices with Center at Origin: Find the coordinates of the vertices of square ABCDABCD when the center is at the origin.\newlineCalculation: A(a,a)A(-a,-a), B(a,a)B(a,-a), C(a,a)C(a,a), D(a,a)D(-a,a).

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