Set 30/4)3 board maths standard question pls soove it - Maths - Pair of Linear Equations in Two Variables

Question

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

Shikher Agrawal · Accepted Answer

Solution:

(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, PQ2 = (x2 –x1)2 + (y2, y1)2] (b) Length of diagonal PR in square PQRS

table attributes columnalign right center left columnspacing 0px end attributes row PR equals cell square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus space y subscript 1 close parentheses squared end root end cell row blank equals cell square root of open parentheses 200 plus 200 close parentheses squared plus open parentheses 400 minus 0 close parentheses squared end root end cell row blank equals cell square root of open parentheses 400 close parentheses squared plus open parentheses 400 close parentheses squared end root end cell row blank equals cell 400 square root of 2 space units end cell end table

(iii)

y-coordinate of S using section formula â€‹

400 equals fraction numerator 800 k plus 0 over denominator k plus 1 end fraction rightwards double arrow 400 k plus 400 equals 800 k rightwards double arrow box enclose k equals 1 end enclose