Directions:1-5) In the following question, two equations I and II are given. Solve both the equations carefully & answer the questions given below:If x > y
1.
I. X2+5 √3x -42 =0 II. Y2 -√2y -24 =0
Ans:5 X2+5 √3 X -42 =0(X +7 √3) (X-2 √ 3) =0
X =-7 √3,, 2√3
Y2 – √2y -24 =0
Y2 – 4 √2y +3 √2y -24 =0
Y = 4 √2, -3 √2
The relationship cannot be determined.
2.
I. 5x – 2.2y = –17 II. 4x + 0.6y = 31
Ans:2 5x – 2.2y = –174x + 0.6y = 31
Simply the above equation, we get x= 10 and y = 15
x < y
3.
I. 30×2+89x+58 =0 II. 27y2 -51y -56 =0
Ans:2 I. 30x2+89x +58 =030x2 +60x + 29x +58 =0
30x(x+2)+29 (x+2) =0
(30x+29) (x+2) =0
X = -29/30, -2
II. 27y2-51y -56 =0
27y2 -72y + 21y -56 =0
9y(3y -8) +7(3y-8) =0
(9y+7)(3y-8) =0
Y = -7/9, 8/3
X < Y
4.
I. X2 -4x +3.91 =0 II. Y2-6y +8.75 =0
Ans:2 X2 -4x +3.91 =0X2-2.3x – 1.7x +3.91 =0
X(x-2.3) – 1.7 (x-3.91) =0
(x-1.7)(x-2.3) =0
X=2.3, 1.7
Y2-6y +8.75 =0
Y2-3.5y-2.5y+8.75 =0
Y (y-3.5) – 2.5 (y-3.5) =0
(y-3.5)(y-2.5)=0
Y=3.5, 2.5
x < y
5.
I. 78x2+199x+65 =0 II. 56y2+127y+72 =0
Ans:5 I. 78x2+199x +65 =078x2 +169x+30x +65 =0
13x (6x+13) +5(6x+13) =0
(13x+5) (6x+13) =0
X= -5/13, -13/6
II. 56y2+127y +72 =0
56y2 +64y+63y +72 =0
8y (7y+8) +9(7y+8) =0
(8y+9)(7y+8) =0
Y= -9/8, -8/7
Relationship cannot be determined.
Directions: 6-10) In the following question, two equations I and II are given. Solve both the equations carefully & answer the questions given below:
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