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Question 1 of 10

1. Question

Directions:1-5) In the following question, two equations I and II are given. Solve both the equations carefully & answer the questions given below:

X^{2} -6 √3 X -48 =0

Y^{2 }– √2y -24 =0

Correct

X^{2} -6 √3 X -48 =0

X(x -8 √3) +2 √3 (x -8 √3) =0

(X -8 √3) (x + 2 √3) =0

X =8 √3, – 2 √3

Y^{2 }– √2y -24 =0

Y^{2} – 4 √2y +3 √2y -24 =0

Y = 4 √2, – 3 √2

Relationship cannot be determined

Incorrect

X^{2} -6 √3 X -48 =0

X(x -8 √3) +2 √3 (x -8 √3) =0

(X -8 √3) (x + 2 √3) =0

X =8 √3, – 2 √3

Y^{2 }– √2y -24 =0

Y^{2} – 4 √2y +3 √2y -24 =0

Y = 4 √2, – 3 √2

Relationship cannot be determined

Question 2 of 10

2. Question

X^{2}+5 √3 X -42 =0

Y^{2} – 8 √2 y +30 = 0

Correct

X^{2}+5 √3 X -42 =0

(X +7 √3) (X – 2√3) =0

X = -7 √3, 2 √3

Y^{2} – 8 √2y +30 = 0

Y = 5 √2 , 3 √2

x < y

Incorrect

X^{2}+5 √3 X -42 =0

(X +7 √3) (X – 2√3) =0

X = -7 √3, 2 √3

Y^{2} – 8 √2y +30 = 0

Y = 5 √2 , 3 √2

x < y

Question 3 of 10

3. Question

X^{2} +4 √10 x+40 =0

4 √3 Y^{2} -5y -2 √3 =0

Correct

X^{2} +4 √10 x + 40=0

(X +2 √10) (X +2 √10) =0

X= – 2 √10, – 2 √10

4 √3 Y^{2} -5y -2 √3 =0

Y = +8 /4 √3, -3 / 4 √3

x < y

Incorrect

X^{2} +4 √10 x + 40=0

(X +2 √10) (X +2 √10) =0

X= – 2 √10, – 2 √10

4 √3 Y^{2} -5y -2 √3 =0

Y = +8 /4 √3, -3 / 4 √3

x < y

Question 4 of 10

4. Question

X^{2}– √2 x -24 =0

Y^{2} – 8 √3 y +48 =0

Correct

X^{2 }– √2X -24 =0

X^{2} – 4 √2X +3 √2X -24 =0

X = 4 √2 , -3 √2

Y^{2} – 8 √ 3 y +48 =0

(Y -4 √3 ) (Y -4 √3 ) =0

Y =4 √3 , 4 √3

x < y

Incorrect

X^{2 }– √2X -24 =0

X^{2} – 4 √2X +3 √2X -24 =0

X = 4 √2 , -3 √2

Y^{2} – 8 √ 3 y +48 =0

(Y -4 √3 ) (Y -4 √3 ) =0

Y =4 √3 , 4 √3

x < y

Question 5 of 10

5. Question

2X^{2} – (4+√13) x +2 √13 =0

10y^{2} – (18+5 √13) y +9 √13 =0

Correct

2X^{2} – (4+√13)x +2 √13 =0

X = 4 /2, √13/2

X=2, 1.8

10y^{2} – (18+5 √13)y +9 √13 =0

Y = 18/10, 5 √13 /10

Y =1.8, 1.8

x ≥ y

Incorrect

2X^{2} – (4+√13)x +2 √13 =0

X = 4 /2, √13/2

X=2, 1.8

10y^{2} – (18+5 √13)y +9 √13 =0

Y = 18/10, 5 √13 /10

Y =1.8, 1.8

x ≥ y

Question 6 of 10

6. Question

Directions:6-10) In the following question, two equations I and II are given. Solve both the equations carefully & answer the questions given below: