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If X, Y(X),(Y) = 25 and (-x, Y)(2x),(Y) = -2 Find X and Y If X, Y Hati Z (Integer) - Mathematics

Sum

If `[x, y][(x),(y)] = [25]` and `[(-x, y)][(2x),(y)] = [-2]` find x and y if `x, y  ε  Z` (integer)

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Solution

`[x,y][(x),(y)] = [25]`

`x^2 + y^2 = 25`

and 

`-2x^2 + y^2 = -2`

`x , y  ε  Z` (interger)

If can observed that that above two equation are satisfied when `x = +-3` and y = +-4

Concept: Addition and Subtraction of Matrices
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (D) | Q 3.2 | Page 131
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