# Set 30/4)3 board maths standard question pls soove it

(i) 1 unit on

*x*-axis = 100 units

Since PQRS is square

1 unit on

*y*-axis must also be 100 units

∴ Coordinates of R(200, 400)

Coordinates of S(–200, 400)

(ii) (a) Area of the square PQRS = (PQ)

^{2}

= (200 + 200)

^{2}+ (0 – 0)

^{2}

= (400)

^{2}

= 160000 sq. units

(Used distance formula, PQ

^{2}= (

*x*

_{2}–

*x*

_{1})

^{2}+ (

*y*

_{2},

*y*

_{1})

^{2}]

(b) Length of diagonal PR in square PQRS

(iii)

*y*-coordinate of S using section formula

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