Quadratic Equations

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and give answer.2m2+11m+14=04n2+12n+9=0 if m < n if m > n if m ≤ n If m ≥ n if m = n or no relation can be established Option A From eq (a),2m^2+4m+7m+14=02m(m+2)+7(m+2)=0m= -2,-3.5From eq […]

35m2+16m-3=010n2+136n-56=0 m<n mn m>=n the relation cannot be determined Option E 35m2+16m-3=035m2 -5m+ 21m-3=05m(7m -1) + 3(7m -1)=0 (7m-1) ( 5m+3)=0m= 1/7 , -3/510n2+136n-56=010n2 -4n+ 140n -56=0n( 10n-4) + 14(10n-4)=0(10n-4) ( n+14)=0n= 4/10,- 14Hence the relation cannot be determined   10m2-136m-14=025n2-10n-8=0 m<n mn m>=n the relation cannot be determined Option C 10m2-136m-14=010m2 -140m+m-14=010m(m -14) +

102-x-2=06y2+33y+15=0 x<y xy x>=y the relation cannot be determined Option E 10×2-x-2=010×2 – 5x+ 4x-2=05x(2x -1) + 2(2x -1)=0 (2x-1) ( 5x+2)=0x= 1/2 , -2/56y2+33y+15=06y2 +30y+ 3y +15=06y( y+5) + 3(y+5)=0(y+5) ( 6y+3)=0y= -5, -3/6Hence the relation cannot be determined   35×2-13x-4=09y2 +9y-2=0 x<y xy x>=y the relation cannot be determined Option C 35×2-13x-4=035×2 –

I) m2 – 3m – 28 = 0II) n2 – n – 72 = 0 m=n Can’t be determined Option E I) m2 – 3m – 28 = 0(m + 4) (m – 7) = 0M = -4, 7II) n2 – n – 72 = 0(n + 8) (n – 9) = 0N = -8,

x3 – 4×2 + 3x = 0 7y3 – 23y2 + 6y = 0 x xy x>=y none Option D x3 – 4×2 + 3x = 0 This gives x(x2 – 4x + 3) = 0 ⇒ x(x – 3)(x – 1) = 0 ⇒ x = 0, 1 or 3 7y3 – 23y2 +

I. x2 -4x -21 = 0 II. y2 = 64 x=y Hence the relation cannot be determined Option E x2 -4x -21 = 0x2 -7x + 3x -21 = 0x( x-7) + 3( x-7)=0(x-7) (x+3)=0 x=7 or x= -3y 2 = 64y= ±8 Hence the relation cannot be determined   I. x2 +7x +10 =

I. 10×2+9x+2=0 II. 6y2– 27y-15=0 x > y x ≥ y x < y x ≤ y x = y or Cannot be determined. Option D 10x2+9x+2=010x2 + 5x+ 4x+2=05x(2x +1) + 2(2x +1)=0 (2x+1) ( 5x+2)=0x= -1/2 , -2/56y2– 27y-15=06y2 -30y+ 3y -15=06y( y-5) + 3(y-5)=0(y-5) ( 6y+3)=0y= 5, -3/6Hence y≥x   I. 35x2+27x+4=0

Directions(1-10): Find the values of x and y, compare and choose a correct option. I.x^2 – 9x + 20 = 0II.y^2 – 7y + 12 = 0 y > x x > y No relation x >= y y >= x Option D I.x^2 – 9x + 20 = 0=>x^2 – 5x – 4x +20

Directions(1-10): Find the values of x and y, compare their values and choose a correct option. (i) x² = 81 (ii) y² – 18y + 81 = 0 y > x y > x x >= y y >= x No relation exists Option D (i)x² = 81 x = ± 9 (ii)Y² – 18y

Directions(1-10): Find the values of x and y and compare their values and choose a correct option. I.x^2 +36x + 323 = 0II.y^2 + 30y +221 = 0 x > y y > x x >= y No relation. y >= x Option E I.x^2 +36x + 323 = 0=> x^2 +17x + 19x +323