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Directions:1-5) **In the following questions, two equations numbered I and II are given. You have to solve both the equations and Give Answer If**

1.

- x
^{2}+ 25x + 156 =0 - y
^{2}+27y+182 =0

2.

- 4x+2y =14
- 3x+6y =24

3.

- x = ∛1728
- y = √(√20736)

4.

- (x
^{2}– 12^{2}) =0 - y = ∛2197

5.

- 4x+6y = 6
- 2x-3y =45

Directions:6-10) **In the following questions, two equations numbered I and II are given. You have to solve both questions and give answer among the following options.**

6.

- 4x²-4x-48=0
- 6y²-6y-12=0

7.

- 3x²+53x+204=0
- 5y²+31y+48=0

8.

- 2x²-39x+124=0
- 2y²-30y+108=0

9.

- 8x²-18x+9=0
- y²+11y-432=0

10.

- 2x²+15x+28=0
- 4y²+32y+64=0

**Check your Answers below:**

Directions:1-5)

**In the following questions, two equations numbered I and II are given. You have to solve both the equations and Give Answer If**- x
^{2}+ 25x + 156 =0 - y
^{2}+27y+182 =0

Ans:2

I. x^{2}+ 25x + 156 =0X^{2}+ 12x + 13x +156 =0(x+12) (x+13) =0

x = -12, -13

II. y

^{2}+27y+182 =0Y

^{2}+ 14y + 13y + 182 =0(y+13) (y+14) =0

y =-13, -14

x ≥ y

- x
##### 2. Question

- 4x+2y =14
- 3x+6y =24

Ans:3

4x+2y =14 —– (1)

3x+6y =24 —– (2)

Solve the equation, we get x = 2 and y =3

x < y##### 3. Question

- x = ∛1728
- y = √(√20736)

Ans:5

I. x = ∛1728

x=12

II. y = √(√20736)

y= √144

y = 12

x=y##### 4. Question

- (x
^{2}– 12^{2}) =0 - y = ∛2197

Ans:3

I. (x^{2}– 12^{2}) =0(x+12) (x-12) =0x=12, -12

II. y = ∛2197

y =13

x < y

- (x
##### 5. Question

- 4x+6y = 6
- 2x-3y =45

Ans:1

4x+6y = 6 —- (1)

2x-3y =45 —- (2)

Solve the equations, we get x = 12 and y = -7

x> yDirections:6-10)

**In the following questions, two equations numbered I and II are given. You have to solve both questions and give answer among the following options.**##### 6. Question

- 4x²-4x-48=0
- 6y²-6y-12=0

Ans:5

I.4x²-4x-48=0

4x²-16x+12x-48=0

X=4,-3

II.6y²-6y-12=0

6y²+6y-12y-12=0

Y=2,-1

Thus relationship can’t be established##### 7. Question

- 3x²+53x+204=0
- 5y²+31y+48=0

Ans:3

I.3x²+53x+204=0

3x²+36x+17x+204=0

X=-17/3 , -12

II.5y²+31y+48=0

5y²+15y+16y+48=0

Y=-16/5,-3

Thus y>x##### 8. Question

- 2x²-39x+124=0
- 2y²-30y+108=0

Ans:5

I.2x²-39x+124=0

2x²-8x-31x+124=0

X=31/2, 4

II.2y²-30y+108=0

2y²-12y-18y+108=0

Y=9 ,6

Thus relationship can’t be established.##### 9. Question

- 8x²-18x+9=0
- y²+11y-432=0

Ans:5

I.8x²-18x+9=0

8x²-12x-6x+9=0

X=3/4, 3/2

II.y²+11y-432=0

y²+27y-16y-432=0

y=16,-27

Thus relationship can’t be established##### 10. Question

- 2x²+15x+28=0
- 4y²+32y+64=0

Ans:2

I.2x²+15x+28=0

2x²+8x+7x+28=0

X=-7/2 ,-4

II.4y²+32y+64=0

4y²+16y+16y+64=0

Y=-4 ,-4

Thus, X≥Y