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9Math Q05-1001
Chapter 5
Equations
1.If 4x2-6x+p is a perfect square , then p=……….
A. 4/9 B.9/4 C. 4 D. 9 E.16

1. x2+k=x have only one real root, find k.
   A. 1/4 B.-1/4 C. 4 D. -4 E.1

2. The solution set of x2-x=x(x-1) is
   A. {0} B. {0,-1} C. {1,0} D. R E.∅

3. The solution set of the quadratic equation 2x2=4x is
   A. {0} B. {2} C. {0,2} D. (0,2) E. {(0,2)}

4. The solution set of the equation 9x2+1=0 is
   A. {1/3} B. {-1/3} C. {1/3, -1/3} D.∅ E. None of them

5. The solution set of x2-6x+5=4 is
   A. {(1,5)} B. {2√3+3} C. {3±2√3} D.{3-2√3} E. None of these
   7.x2-0.4x+k is a perfect square if k=……….
   A. 0.4 B. 0.04 C.-0.04 D.-0.4 E. 0.2

6. x2-6x+k=(x+2)2, then
   A. k=3,a=-3 B. k=9,a=3 C. k=-9,a=-3 D. k=9,a=-3 E. k=3,a=9

7. x2+8x+10+k is a perfect square if k=………..
   A. -1 B.6 C.15 D.26 E .None of these

8. Which must be added to x2-2x/3 in order to be a perfect square is
   A.(4/2)^2 B. (2/3)^2 C. 32 D. (3/4)^2 E.(1/3)^2

9. A quadratic equation with roots -3 and 5 is
   A.x2-15=0 B. x2-8x-15=0 C.x2+8x-15=0 D. x2+2x-15=0 E. x2-2x-15=0

10. A quadratic equation with solution set {1/3,1/4} is
    A.12x2=7x+1 B.12x2=7x-1 C.12x2=x+1 D.12x2=x-1 E.12x2=1-x

11. The solution set of the system of equation x-y=3, x2-y2=21 is
    A.{(2,5)} B.{(5,2)} C. {5,2} D.{(2,5),(5,2)} E. None of these
    14.The solution set of the system of equation x-y=0,x2+y2=8 is
    A.{(2,-2),(-2,2)} B.{(-2,2),(2,-2)} C.{(2,2),(-2,-2)} D.{(2,5),(5,2)} E. None of these

12. The root of standard quadratic equation is real if

    1. b2-4ac<0 2. b2-4ac=0 3. b2-4ac>0
       A. 1 only B. 2 only C. 3 only D. 1 and 2 only E.2 and 3 only

13. p2+q2=…………
    A.(p+q)2 B.(p-q)(p-q) C.(p-q)2+2pq D.(p-q)2-2pq E. None of these
    17.If a2+2ka +16 is a perfect square , then k=…..
    A.-2 B.2 C. -4 D. 8 E. 16

14. If x2+2x-24 =(x-a)(x-b), when a>b , then
    A. a=4,b=-6 B. a=6, b=-4 C. a=6 ,b=4 D. a=6, b=-6 E. a=-4, b=-6

15. The solution set the system of equation x2-8x+y=0, y=2x is
    A. {(0,0),(12,6)} B. {(0,0),(6,12)} C. {0,12} D.{0,6} E.{(0,12),(0,6)}

16. The equation p2+6p-2=0 can be written as
    A. (p-3)2=11 B. (p+3)2=11 C. (p+3)2=7 D.(p-3)2=7 E. None of these

17. The solution set of the equation (x+1)(x-7)=-12 is
    A.{-1,7} B. {1,5} C. {-1,-5} D. {1,-7} E.{1,-5}

18. From a quadratic in x whose roots are 4+√5 and 4- √5.
    A. x2+5x+6=0 B.x2+8x+11=0 C. x2-5x+6=0 D. x2-8x+11=0 E. x2-4x+5=0
    23.If α and β are roots of the equation of ax2+bx+c=0 , then α2 + β2=…………
    A.b2-4ac B.(b^2-2ac)/a2 C.ab2-2ac D. (ab^2-2ac)/a2 E.(-b+b^2-4ac)/2a
    24.In one of the root of the equation x2+αx-14=0 is 2, then α=……….
    A.7 B. 5 C. -5 D. 3 E. -7

19. If 3x2+lx-5=(mx-1)(2-x)-3, then
    A. l=3,m=5 B. l=-5,m=-3 C. l=-5,m=3 D. l=5,m=-3 E.l=5,m=3

20. The solution set of {(x,y)|y=x2} {(x,y)|y=x+2} is
    A. {(-1,1),(2,4)} B.{(-1,0),(2,0)} C.{(1,-1),(4,2)} D.{(0,-1),(0,2)} E. None of these

21. If a2+b2=4 and (a-b)2=2, what is the value of ab?
    A. 1 B.√2 C. 2 D. 3 E.4
    28.If x2-2xx2-x-12 cuts the X-axis at A and B. The distance between A and B is
    A. 1 B. -1 C. 7 D. -7 E.12

……………………………………………………………………………………………………..Thank you!