Home
Class 11
MATHS
Using properties of determinants, show t...

Using properties of determinants, show that
`|{:(x, p, q), ( p, x, q), (q,q,x):}|= (x-p) (x ^(2) + px - 2q ^(2))`

A

`(x + p) (x +q) (x -p -q)`

B

`(x -p) (x -q) (x + p +q)`

C

`(x -p) (x -q) (x - p -q)`

D

`(x + p) (x + q) (x + p + q)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos

Similar Questions

Explore conceptually related problems

Show that: x p q p x q q q xx-p)(x^2+p x-2q^2) .

If x nearly equal to 1 show that (px^q - qx^p)/(x^q - x^p) = (1)/(1 -x) ( nearly)

If x nearly equal to 1 show that (px^p - qx^q)/(p-q) = x^(p+q) (nearly)

If x^(p) y^(q) = (x + y)^((p + q)) " then " (dy)/(dx)= ?

If p, q, r, s in R , then equaton (x^2 + px + 3q) (-x^2 + rx + q) (-x^2 + sx-2q) = 0 has

If P be the sum of odd terms and Q be the sum of even terms in the expansion of (x+a)^(n) , then (x+a)^(2n)+(x-a)^(2n) is (i) P^(2)-Q^(2) (ii) P^(2)+Q^(2) (iii) 2(P^(2)+Q^(2)) (iv) 4PQ

Solve for x and y, px + qy = 1 and qx + py = ((p + q)^(2))/(p^2 + q^2)-1 .

For p, q in R , the roots of (p^(2) + 2)x^(2) + 2x(p +q) - 2 = 0 are

If the difference of the roots of the equation, x^2+p x+q=0 be unity, then (p^2+4q^2) equal to: (1-2q)^2 (b) (1-2q)^2 4(p-q)^2 (d) 2(p-q)^2

The base B C of a A B C is bisected at the point (p ,q) & the equation to the side A B&A C are p x+q y=1 & q x+p y=1 . The equation of the median through A is: (p-2q)x+(q-2p)y+1=0 (p+q)(x+y)-2=0 (2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1) none of these

OBJECTIVE RD SHARMA ENGLISH-DETERMINANTS-Exercise
  1. If y= sin px and y(n) is the nth derivative of y, then |{:(y,y(1),y(...

    Text Solution

    |

  2. If |p b c a q c a b r|=0 , find the value of p/(p-a)+q/(q-b)+r/(r-c),\...

    Text Solution

    |

  3. Using properties of determinants, show that |{:(x, p, q), ( p, x, q)...

    Text Solution

    |

  4. The factors of |(x,a,b),(a,x,b),(a,b,x)|, are

    Text Solution

    |

  5. Let omega=-1/2+i(sqrt(3))/2dot Then the value of the determinant |1 1 ...

    Text Solution

    |

  6. If a+b+c=0, one root of |a-x c b c b-x a b a c-x|=0 is x=1 b. x=2 c. ...

    Text Solution

    |

  7. suppose D= |{:(a(1),,b(1),,c(1)),(a(2),,b(2),,c(2)),(a(3),,b(3),,c(3...

    Text Solution

    |

  8. A and B are two non-zero square matrices such that AB = O. Then,

    Text Solution

    |

  9. The roots of the equation |{:(x-1,1,1),(1,x-1,1),(1,1,x-1):}|=0 are

    Text Solution

    |

  10. From the matrix equation AB=AC, we conclude B=C provided.

    Text Solution

    |

  11. If A=|[1, 1, 1],[a, b, c],[ a^2,b^2,c^2]| , B=|[1,bc, a],[1,ca, b],[1,...

    Text Solution

    |

  12. The value of |(11,12,13),(12,13,14),(13,14,15)|, is

    Text Solution

    |

  13. |{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}| is equal to:

    Text Solution

    |

  14. If f(x)=|{:(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0):}|, then

    Text Solution

    |

  15. Let a ,b , c be the real numbers. The following system of equations in...

    Text Solution

    |

  16. A ,\ B are two matrices such that A B and A+B are both defined; sho...

    Text Solution

    |

  17. If omega is an imaginary cube root of unity, then the value of |(a,b o...

    Text Solution

    |

  18. If alpha, beta are non - real numbers satifying x^3-1=0 then the value...

    Text Solution

    |

  19. The value of the determinant |(-1,1,1),(1,-1,1),(1,1,-1)| is equal to

    Text Solution

    |

  20. In a third order determinant, each element of the first column consist...

    Text Solution

    |