**Directions (Q.1-5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer**

**1) if x > y**

**2) if x < y**

**3) if x ≥ y**

**4) if x ≤ y**

**5) if x = y or relation cannot be established between 'x' and 'y'.**

1. I. 8x+y=10

II. 4x+2y=13

2. I. (x+3) (y+2)=12

II. 2xy+4x+5y=11

3. I. (3x-2)/y = (3x+6)/(y+16)

II.(x+2)/(y+4) = (x+5)/(Y+10)

4. I. x^2+20x+4=50-25x

II. y^2-10y-24=0

5. I. (x^2-10x+16)/(x^2 -12x +24) = 2/3

II. y^2-y-20=0

**Directions (Q.6-10): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer**

**1) if x < y**

**2) if x > y**

**3) if x**

**≤**

**y**

**4) if x**

**≥**

**y**

**5) if x = y, or relationship between x and y can't be established.**

6. I. 6x^2-49x+99=0

II. 5y^2+17y+14=0

7. I. 5x^2=19x-12

II. 5y^2+11y=12

8. I. x^3=(1331)^1/3

II. 2y^2-21y+55=0

9. I. 5x=7y+21

II. 11x+4y+109=0

10. I. 2x^2-11x+12=0

II. 2y^2-17y+36=0

**Answers --**

1. (2)

from both equation

x=7/12, y=16/3

y>x

2. (5)

xy+3y+2x +6 =12

2xy+6y+4x=12----(i)

2xy+5y+4x=11 ---- (ii)

From eq. (i) --- (ii)

Y = 1

From eq. (i)

x=1

x = y

3.(2)

(3x-2)/y = (3x+6)/(y+16)

48x-8y = 32 ---- (i)

(x+2)/(y+4) = (x+5)/(y+10)

y = 2x ---- (i)

From Equation (i) & (ii)

x=1, y=2

y>x

4.(5)

From the given Equation

x=1, -46

& y=-2,/2

x # y

5.(5)

From 1st equation

x^2-6x=0

x=0,6

From 2nd equation

(y+4) (y-5)

y=-4,5

x # y

6. (2)

6x^2-49x+99=0

(3x-11) (2x-9)=0

x=11/3, 9/2

5^2+17y+14=>

(5y+7) (y+2)=>

y=-2,-7/5

x>y

7.(4)

5x^2-19x+12=0

x=3,4/5

5y^2+11y=12

y = 4/5 ,-3

8. (2)

x=11

2y^2-21y+55= 0

(2y-11) (y-5)= 0

y=5,11/2

x>y

9. (2)

From given equation

x=-7

y=-8

x>Y

10 (3)

2x^2-11x+12=>

x=3/2,4

2y^2-17y+36=>

y=4,9/2

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