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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