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ALGEBRA ALGEBRA (1) x2 (3) x (4) x>y< 2 1+ a 2a = 1+ x + b a + x a+b 2a a Sol. (2) x - y = Jab a+b-2ab 2 2 x+b X + a 2 1 2 (va)' +(15)? - 2 Jab (Ta-vo) + x + b x + a 2 2 = positive ..x>y X+ a= 2 (x + b) = 2x + 2b 2x-X= a-2b :: X= a-2b 19. If x + y + z = 0 then + Again, y-2= Vab - 2ab. Vab(a + b) - 2ab a + b a+b + + ** +42-23 + Vabla+b-2Vab) a+b 2 ſab ab (vajº +(vo) ° -2dab (a + b) 1 1 = ? x2 + y2 -22 y2 + 22 - x2 22 + x2 - y2 (1) 1 (2)-1 (3) O (4) 2 Sol. (3) :: X+ y + z = 0 :: x + y = -2, = (x + y)2 = (-2) x + y2 + 2xy = z2 =Z2 = x2 + y2 + 2xy Similarly, x = y + z2 + 2yz and, y = z2 + x2 + 2xz Expression 1 1 = 211,2-22 12 +22 x² + ² + x² - y² = Vablja -vo) = a positive quantity = a+b .. Y > 2 ..X>y>Z 17. If (x - a) (x- b- 1] = a - b, find the value of x. (11 (1. al (21 1 = +-***7 . + . 2 + 1 ម ...
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