Home
Class 12
MATHS
The value of |{:(x^(2)+y^(2),ax+by,x+y),...

The value of `|{:(x^(2)+y^(2),ax+by,x+y),(ax+by,a^(2)+b^(2),a+b),(x+y,a+b,2):}|` depends on

A

`a`

B

`b`

C

`x`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D

`(d)` `Delta=|{:(x,y,0),(a,b,0),(1,1,0):}|*|{:(x,y,0),(a,b,0),(1,1,0):}|=0`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos
  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos
  • DEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise JEE ADVANCED|38 Videos
  • DETERMINANTS

    CENGAGE PUBLICATION|Exercise All Questions|262 Videos

Similar Questions

Explore conceptually related problems

If a ,b ,c ,d ,e , and f are in G.P. then the value of |((a^2),(d^2),x),((b^2),(e^2),y),((c^2),(f^2),z)| depends on (A) x and y (B) x and z (C) y and z (D) independent of x ,y ,and z

y = (ax + b) e^(-2x)

|{:(" "a," "b," "c),(" "a+2x," "b+2y," "c+2z),(" "x," "y," "z):}|

If y^(2)=4ax , then the value of (d^(2)y)/(dx^(2))*(d^(2)x)/(dy^(2)) is -

Solve (by any method) : (a-b)x+(a+b)y=a^(2)-2ab-b^(2) (a+b)(x+y)=a^(2)+b^(2)

Find the value of y by eliminating x : (x+a)/(2a+b)=(y+2b)/(a+b), bx+ay=a^(2)+b^(2)

If a x^2+2h x y+b y^2=1,t h e n(d^2y)/(dx^2) is (a) (h^2-a b)/((h x+b y)^2) (b) (a b-h^2)/((h x+b y)^2) (h^2+a b)/((h x+b y)^2) (d) none of these

If x : a = y : b = z : c , then prove that (a^(2) + b^(2) + c^(2))(x^(2) + y^(2) + z^(2)) = (ax + by + cz)^(2)

Suppose f(x) is a function satisfying the following conditions : (i) f(0)=2,f(1)=1 (ii) f has a minimum value at x=5//2 (iii) for all x,f' (x) = |{:(2ax,,2ax-1,,2ax+b+1),(b,,b+1,,-1),(2(ax+b),,2ax+2b+1,,2ax+b):}| The value of f(2) is

Find the value of y by substituting x=(by+a^(2)-b^(2))/(a) in the equation x/a+y/b=2 .

CENGAGE PUBLICATION-DETERMINANT-Single correct Answer
  1. |[1/c,1/c,-(a+b)/c^2],[-(b+c)/a^2,1/a,1/a],[(-b(b+c))/(a^2c),(a+2b+c)/...

    Text Solution

    |

  2. The equation |((1+x)^2,(1-x)^2,-(2+x^2)),(2x+1,3x,1-5x),(x+1,2x,2-3x)...

    Text Solution

    |

  3. Let Delta(1)=|{:(ap^(2),2ap,1),(aq^(2),2aq,1),(ar^(2),2ar,1):}| and De...

    Text Solution

    |

  4. Area of triangle whose vertices are (a,a^2),(b,b^2),(c,c^2) is 1/2 . a...

    Text Solution

    |

  5. Prove that |{:(betagamma,betagamma'+beta'gamma,beta'gamma'),(gammaalph...

    Text Solution

    |

  6. If |{:(a,b,1),(b,c,1),(c,a,1):}|=2010 and if |{:(c-a,c-b,ab),(a-b,a-c,...

    Text Solution

    |

  7. Let |(a,l,m),(l,b,n),(m,n,c)||(bc-n^2,mn-lc,ln-bm),(mn-lc,ac-m^2,ml-an...

    Text Solution

    |

  8. The value of |{:(x^(2)+y^(2),ax+by,x+y),(ax+by,a^(2)+b^(2),a+b),(x+y,a...

    Text Solution

    |

  9. If u=ax+by+cz, v=ay+bz+cx, w=az+bx+cy, then the value of |{:(a,b,c),(b...

    Text Solution

    |

  10. If the number of positive integral solutions of u+v+w=n be denoted by ...

    Text Solution

    |

  11. If f(x), h(x) are polynomials of degree 4 and |(f(x), g(x),h(x)),(a, b...

    Text Solution

    |

  12. If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+...

    Text Solution

    |

  13. If f(x)=|{:(sinx,cosx,tanx),(x^(3),x^(2),x),(2x,1,x):}|, then lim(xto0...

    Text Solution

    |

  14. If the system of linear equations x+2ay +az =0,x+3by+bz =0 and x+4cy ...

    Text Solution

    |

  15. Find all values of lambda for which the (lambda-1)x+(3lambda+1)y+2lamb...

    Text Solution

    |

  16. The system of homogenous equations tx+(t+1)y+(t-1)z=0, (t+1)x+ty+(t+...

    Text Solution

    |

  17. If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...

    Text Solution

    |

  18. The values of theta, lambda for which the following equations sintheta...

    Text Solution

    |

  19. If the system of equation {:(,x-2y+z=a),(2x+y-2z=b),and,(x+3y-3z=c):} ...

    Text Solution

    |

  20. If A,B,C are the angles of a triangle, the system of equations (sinA...

    Text Solution

    |