Directions:1-10) In each of the following questions, two equations(i) and (ii) are given. You have to solve them and find the correct option.
1. a) 2x2-23x-70=0 b) 2y2-7y-72=0
Ans: 5 a)2x2-28x+5x-70=0 2x(x-14) +5(x-14) =0 x=14 and x=-5/2 x=14 and x=-2.5
b) 2y2-7y-72=0 2y2+9y-16y-72=0 2y(y-8) +9(y-8) =0 y=8 and y=-9/2 y=8 and y=-4.5 Hence x=y or cannot be determined.
2. a) 45x2-43x+10=0 b) 17y2+48y-9=0
Ans: 1 a) 45x2-43x+10=0 45x2-25x-18x+10=0 (9x-5)(5x-2)=0 x=5/9 and 2/5 x=0.5 and 0.4
b) 17y2+48y-9=0 17y2+51y-3y-9=0 (y+3)(17y-3)=0 y=-3 and 3/17 y=-3 and 0.17 Hence x>y
3. a) 14x+16y=10 b) 12x-10y=56
Ans: 1 14x+16y=10……… (1) Multiply (1) with 6, then we have 84x+96y=60 ………… (2) 12x-10y=56 …………. (3) Multiply (3) with 7, then 84x-70y=392 ………. (4) x= 3 and y= – 2 Hence x > y
b) 5y2 -22y +24=0 5y2 -10y-12y +24=0 5y(y-2)-12(y-2) = 0 y=2 and 12/5 Hence x ≥ y
7. a) 6x-52√x+112=0 b) 4y-30√y+56=0
Ans: 4 a) 6x- 52√x + 112=0 6x-24√x-28√x+112=0 6√x(√x-4)-28(√x-4) = 0 √x=14/3 and 4 x=196/9 and 16
b) 4y-30√y + 56=0 4y-16√y-14√y+56=0 (4√y-14)(√y-4) = 0 √y= 7/2 and 4 y=49/4 and 16 Hence x ≥y
8. a) 3x+23y=184 b) 4x+11y=125
Ans: 1 a) 3x+23y=184……………….(1) b) 4x+11y=125.……………….(2)
Multiply equation (1) by 4 12x+92y=736 Multiply the equation (2) by 3 12x+33y=375 After solving these two equations, we get y= 6.12 and x=14.41 Hence x > y
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Sapna
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Sir humari exam online hai to bank ki to hume waha rafh page provide kare gy jis hum numberical ki calculation kr sakhe ?
Sir humari exam online hai to bank ki to hume waha rafh page provide kare gy jis hum numberical ki calculation kr sakhe ?
Sir humari exam online hai to bank ki to hume waha rafh page provide kare gy jis hum numberical ki calculation kr sakhe ?
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