Question

1.The roots of the equation x2+5x+1=0  are

Option

1)[math] \frac{5+\sqrt{21}}{2},\frac{5-\sqrt{21}}{2}[/math]

2) [math] \frac{-5\pm\sqrt{21}}{2}[/math]

3) [math] \frac{-5\pm\sqrt{29}}{2}[/math]

4) [math] \frac{-5\pm\sqrt{-29}}{2}[/math]

Question

2.The roots of x2-2x-1=0 are

Option

1) [math]\sqrt2+1,\sqrt2-1[/math]

2) [math]1,\sqrt2 [/math]

3) [math]1+\sqrt2,1-\sqrt2 [/math]

4) 2, 1

Question

3. The roots of the equation [math]\frac{1}{2x-3}-\frac{1}{2x+5}=8[/math] are

Option

1) [math]2-\frac{1}{\sqrt2},2+\frac{1}{\sqrt2}[/math]

2) [math]\frac{-1\pm\sqrt7}{2}[/math]

3) [math]2\pm\frac{1}{\sqrt2}[/math]

4) [math]\frac{1\pm\sqrt{17}}{2}[/math]

Question

4.The roots of the equation of 2x2-3x+2=0 are

Option

1) [math]\frac{2\pm\sqrt7}{4}[/math]

2) [math]\frac{3\pm\ i\sqrt7}{4}[/math]

3) [math]\frac{-3\pm\ i\sqrt7}{4} [/math]

4) [math]\frac{-2\pm\sqrt7}{4}[/math]

Question

5.The roots of 3x2-5x-12=0 are

 

Option

1) 4/3,3     

2) 3,1/3     

3) -4/3,3    

4) -4/3,-4

Question

6. The quadratic equation whose roots are [math]\frac{3\pm\ i\sqrt5}{2}[/math] is

Option

1) 2x2-6x+7=0

2) 2x2-6x-7=0

3) 2x2+6x-7=0

4) 2x2+6x+7=0

Question

7. If [math]3\pm4i[/math] are the roots of a quadratic equation then the equation is

Option

1) x2+6x+25=0    

  2) x2-6x+25=0      

3) x2-6x-25=0      

4) -x2+6x-25=0

Question

8.Given α+β=7 and αβ=6 , If α and βare the roots, then the quadratic equation is

Option

1) x2-7x+6=0        

2) x2+7x-6=0        

3) x2-7x-6=0        

4) x2+7x+6=0

Question

9.If axn–2+bx+c=0 is pure monic quadratic equation and a+b+c=n then the value of ‘c’ is

Option

1) 1   

2) 2   

3) 3   

4) 4

Question

10.The nature of the roots of the equation x2-13x+11=0

Option

1) The roots are real and equal         

2) The roots are real and distinct     

3) The roots are non real                 

  4) None of these

Question

11.The nature of the roots of the equation 18x2-4x+17=0

Option

1) the roots are real and equal         

2) the roots are real and distinct

3) the roots are non real                   

4) None of these

Question

12.The nature of the roots of the equation 9x2-36x+36=0

Option

1) The roots are rational and distinct

2) The roots are non real

3) The roots are distinct and irrational

4) The roots real and equal

Question

13.The discriminant of the equation x2-7x+2=0

Option

1) 47           2) 40           3) 41           4) – 41

Question

14.The discriminant of the equation 3x2-5x-8=0 is

Option

1) 120         2) 121         3) 122         4) 123

Question

15.The discriminant of the equation x2-11x+30=0

Option

1) 0             2) 1             3) 2             4) 3

Question

16.The discriminant of the equation x2+x+1=0 is

Option

1) –1            2) –2            3) –3            4) –4

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

Question

18.If α and β are the roots of the equation x2+3x+5=0 then

Option

1) α+β=-3   

2) α+β=3   

3) αβ=-5     

4) αβ=5

Question

19. If [math] 2+\sqrt3[/math] is the root of quadratic equation ax2+bx+c=0 (a,b,cЄQ then

Option

1) a = 1      

2) a + b = –3        

3) a + c = 2

4) a/c=1

Question

20. If 4+3i is the root of equation x2+px+q=0 (p,qЄR) then

Option

1) p=8         2) p=-8        3) q=25       4) |qp|=200

Question

21.If axn+5+bx+c=0 is a pure monic quadratic equation, then

Option

1) leading coefficient = 1          2) b = 0       3) n = 7       4) a = 1

Question

22. If 3xn+4x+7=0 is a quadratic equation then

 

Option

1) n = 2       2) sum of roots= -4/3     3) Product of roots 7/3   4) n=-2

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

Question

17.If the quadratic expression x2(a-4)x+(a+4) is a perfect square, then a=

Option

1) 0 and -4

2) 0 and 6   

3) 0 and 12

4) 6 and 12

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