Home
Class 14
MATHS
Which of the following equations has e...

Which of the following equations has equal roots ? (i) ` 3x^2−6x+2=0 ` (ii)` 3x^2−6x+3=0` (iii)` x^2−8x+8=0 (iv) 4x^2−8x+2=0`

A

`3 x^(2) - 6 x + 2 = 0 `

B

` 3 x^(2) - 6 x + 3 = 0 `

C

` x^(2) - 8 x + 8 = 0 `

D

` 4 x ^(2) - 8 x + 2 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    KIRAN PUBLICATION|Exercise Questions Asked In Previous SSC Exams (Type - II) |227 Videos
  • ALGEBRA

    KIRAN PUBLICATION|Exercise Questions Asked In Previous SSC Exams (Type - III) |17 Videos
  • ALLIGATION OR MIXTURES

    KIRAN PUBLICATION|Exercise TEST YOURSELF|27 Videos

Similar Questions

Explore conceptually related problems

Which of the following equations has 2 as a root? (a) x^(2)-4x+5=0 , (b) x^(2)+3x-12=0 (c) 2x^(2)-7x+6=0 , (d) 3x^(2)-6x-2=0

Which of the following are quadratic equations? (i) x^(2)-5x+3=0 (ii) 2x^(2)-3sqrt(2)x+6=0 (iii) 3x^(2)-2sqrtx+8=0 (iv) 2x^(2)-3=0 (v) x+(1)/(x)=x^(2) (vi) x^(2)+(1)/(x^(2))=4(1)/(4)

Find the nature of roots of the following quadratic equations. If the real roots exist, (i) 2x^(2)-3x+5=0 (ii) 3x^(2)-4sqrt3x+4=0 (iii) 2x^(2)-6x+3=0

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

Which of the following are quadratic equations? x^(2)+6x-4=0( ii) sqrt(3)x^(2)-2x+(1)/(2)=0 (iii) x^(2)+(1)/(x^(2))=5

Which of the following are quadratic equations? (i) x^(2)8x+12=0 (ii) x+(1)/(x)=5 (iii) x+(5)/(x)=x^(2) (iv) x^(2)-5sqrtx+7=0 (v) x^(2)-5x-sqrtx+4=0 (vi) x^(2)-(1)/(x^(2))=4 (vii) 5x^(2)-7x=3x^(2)-7x+3 (viii) (1)/(4)x^(2)+(7)/(6)x-2=0

Which of the following equation are quadratic equations? (I) x^2 + 4x + 23 + x + (33)/(28) (II) 2/3x^2 + 6x + 2 = x^2 + 8 (III) 6x^2 + 4x + 18 = 6x^2 - 6x

Find the values of k for which the given quadratic equation has real and distinct roots: (i) kx^(2)+6x+1=0" "(ii)" "x^(2)-kx+9=0 (iii) 9x^(2)+3kx+4=0" "(iv)" "5x^(2)-kx+1=0

Find the values of k for which the given equation has real roots: (i) kx^(2)-6x-2=0" "(ii)" "3x^(2)+2x+k=0" "(iii)" "2x^(2)+kx+2=0

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

KIRAN PUBLICATION-ALGEBRA-Test Yourself
  1. Which of the following equations has equal roots ? (i) 3x^2−6x+2=0...

    Text Solution

    |

  2. p and q are positive numbers satisfying 3 p + 2 pq = 4 and 5 q + ...

    Text Solution

    |

  3. If a + b + c = 5 ,ab + bc + ca = 7 and abc = 3 find the value of (...

    Text Solution

    |

  4. If (a)/(b+c) + (b)/(c+a) + (c )/(a+b)= 1 find (a^(2))/(b+c) + (b^(2))/...

    Text Solution

    |

  5. If a + b + c = 0 then ( 2 a^(2))/( b^(2) + c^(2) - a^(2)) + ( 2b^(2)...

    Text Solution

    |

  6. Resolve into factors : ( x - 1) ( x + 1) ( x + 3) ( x + 5) + 7

    Text Solution

    |

  7. If a = 7 + 4 sqrt( 3) find the value of ( 3 a ^(6) + 2a ^(4) + 4a^...

    Text Solution

    |

  8. What will be the angle between the lines y - x - 7 and sqrt (3 ) y...

    Text Solution

    |

  9. What will be the point on the x- axis which is eduidistant from th...

    Text Solution

    |

  10. What is the distance of the point (2 , 3) from the line 2 x + 3y +...

    Text Solution

    |

  11. In what ratio, the line joining (-1, 1) and ( 5, 7) is divided by the...

    Text Solution

    |

  12. A point R (h, k) divides a line segment between the axis in the rat...

    Text Solution

    |

  13. What point on the x-axis are at a distance of 4 units from the line ...

    Text Solution

    |

  14. In what ratio , the line joining (-1, 1) and ( 5, 7) is divide by t...

    Text Solution

    |

  15. What will be the co-ordinates of centroid of a triangle whose vertices...

    Text Solution

    |

  16. Find the area of the triangle formed by the straight lines 2 x + 3 ...

    Text Solution

    |

  17. If x = ( sqrt( p + 2 q)+ sqrt(p - 2q))/( sqrt( p + 2 q) - sqrt( p - 2...

    Text Solution

    |

  18. If x = ( sqrt( 3) + sqrt(2))/( sqrt(3) - sqrt(2)) and y = ( sqrt(3)...

    Text Solution

    |

  19. If pq ( p - q) = 1 then the value of p^(3) - q^(3)- (1)/( p^(3) q^...

    Text Solution

    |

  20. If 3 x + (3)/( 4x) = 6 then the value of 8 x ^(3) + (1)/( 8 x^(3))...

    Text Solution

    |

  21. If (a^(3) + b^(3))/( c^(3)) = (b^(3) + c^(3))/( a^(3)) = (c^(3) + a^(...

    Text Solution

    |