*Hello and welcome to*

**exampundit**. Here is a set of Quadratic Equations for SBI PO Prelims 2017.

In

each of these questions, two equations (I) and (II) are given. You have to

solve both the equations and give answer

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

x > y

2) if

x < y

x < y

3) if

x ≥ y

x ≥ y

4) if

x ≤ y

x ≤ y

5) if

x = y or relation cannot be established between ‘x’ and ‘y’.

x = y or relation cannot be established between ‘x’ and ‘y’.

1. I.

8x+y=10

8x+y=10

II. 4x+2y=13

2. I.

2×2-11x+12=0

2×2-11x+12=0

II. 2y2-17y+36=0

3. I.

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

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

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

4. I.

5×2=19x-12

5×2=19x-12

II. 5y2+11y=12

5. I.

(x2-10x+16)/(x2 -12x +24) = 2/3

(x2-10x+16)/(x2 -12x +24) = 2/3

II. y2-y-20=0

6. I.

6×2-49x+99=0

6×2-49x+99=0

II. 5y2+17y+14=0

**Solutions**– Tap to show

1. Ans-2

x=7/12,

y=16/3

y=16/3

x<y

2. Ans-4

x=3/2 (1.5) , 4

y=4, 9/2

(4.5)

(4.5)

x=<y

3. Ans-2

(3x-2)/y =

(3x+6)/(y+16)

(3x+6)/(y+16)

48x-8y = 32

—- (i)

—- (i)

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

(x+5)/(y+10)

(x+5)/(y+10)

y = 2x —-

(i)

(i)

From Equation

(i) & (ii)

(i) & (ii)

x=1, y=2

y>x

4. Ans-3

x=3,4/5(0.8)

y = 4/5 (0.8),-3

x>=y

5. Ans-5

x=0,6

y=-4,5

no

relation

relation

6. Ans-1

x=11/3(3.66),

9/2(4.5)

9/2(4.5)

y= -2,-7/5(-1.4)

x>y

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