Home
Class 12
MATHS
For the equation |[1,x,x^2],[x^2, 1,x],[...

For the equation `|[1,x,x^2],[x^2, 1,x],[x,x^2, 1]|=0,` There are exactly two distinct roots There is one pair of equation real roots. There are three pairs of equal roots Modulus of each root is 2

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation whose roots are (1)/(4) times of the roots of the equation x^(2)-3x+2=0

Find the equation whose roots are squares of the roots of x^4 +x^3 +2x^2 +x +1=0

Find the polynomial equation whose roots are the negatives of the roots of the equation x^4 -6x +7x^2 -2x +1=0

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

The quadratic equation 2x^(2)-sqrt5x+1=0 has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots

Find the root of the equation |x-1|^(x^(2)+x-2)=1

Find the cubic equation whose roots are the squares of the roots of the equation x^3 +p_1 x^2 +p_2 x+p_3 =0

Find the equation whose roots are 3 times the roots of x^3 +2x^2 -4x +1=0

Find the roots of the equation 2x^2 - x + 1/8 = 0

The square of sum of the roots of the equation x^(3)+2x^(2)+2x+1=0 equals to

CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. If A , B ,C are angles of a triangle, then the value of |[e^(2i A),e^(...

    Text Solution

    |

  2. If a^2+b^2+c^2=1, then prove that |[a^2 +(b^2+c^2)cosθ, ab(1−cosθ), ...

    Text Solution

    |

  3. For the equation |[1,x,x^2],[x^2, 1,x],[x,x^2, 1]|=0, There are exa...

    Text Solution

    |

  4. Let Deltar=|[r-1,n,6],[(r-1)^2,2n^2,4n-2],[(r-1)^3,3n^3,3n^2-3n]|. Sho...

    Text Solution

    |

  5. Let m be a positive integer and Deltar=|[2r-1,.^mCr,1],[m^2-1,2^m,m+1]...

    Text Solution

    |

  6. a^(−1)+b^(−1)+c^(−1)=0 such that |[1+a,1,1,],[1,1+b,1,],[1,1,1+c,]| =△...

    Text Solution

    |

  7. Find the area of a triangle whose vertices are A(3,2),B(11 ,8) and C(8...

    Text Solution

    |

  8. If Dk=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum(k=1)^n Dk=56. then n eq...

    Text Solution

    |

  9. If a!=p ,b!=q ,c!=r and |[p, b, c ],[a, q, c ],[a ,b, r]|=0, then find...

    Text Solution

    |

  10. If x1,x2,x3 as well as y1, y2, y3 are in G.P. with same common rati...

    Text Solution

    |

  11. If the lines a1x+b1y+1=0,a2x+b2y+1=0 and a3x+b3y+1=0 are concurrent,...

    Text Solution

    |

  12. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

    Text Solution

    |

  13. Find the value of a for which the lines 2x+y-1=0, a x+3y-3=0, 3x+2...

    Text Solution

    |

  14. if f(alpha,beta)=|[cos alpha,-sin alpha,1],[sin alpha,cos alpha,1],[co...

    Text Solution

    |

  15. If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0(a ,b ,c being distinct...

    Text Solution

    |

  16. If (1+x+x^(2))^(25)=a(0)+a(1)x+a(2)x^(2)+...+a(50).x^(50), then a(0)+a...

    Text Solution

    |

  17. Find the value of lambda for which the homogeneous system of equations...

    Text Solution

    |

  18. If f,g,a n d \ h are differentiable functions of x and d(x)=|[f,g,h]...

    Text Solution

    |

  19. Let a ,b ,c be positive and not all equal. Show that the value of the ...

    Text Solution

    |

  20. if =|{:(x^(n),,n!,,2),(cos x,,cos.(npi)/(2),,4),(sin x,,sin .(npi)/(2)...

    Text Solution

    |