Home
Class 12
MATHS
Suppose a in R. Let f(x)=|(x+a,x,x),(x,x...

Suppose `a in R.` Let `f(x)=|(x+a,x,x),(x,x+a,x),(x,x,x+a)|`then `f(2 x)-f(x)` is equal to

A

`3xa^(2)`

B

`3x^(2)a`

C

`xa^(2)`

D

`a^(2)x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

Suppose a in R. Let x+a,x,xx,x+a,xx,x,x+a]| then f(2x)-f(x) is equal to

if f(x) = x-[x], in R, then f^(')(1/2) is equal to

Let f(x)=(x^(2)-x)/(x^(2)+2x) then d(f^(-1)x)/(dx) is equal to

Suppose a,b,c epsilon R and let f(x)=|(0,a-x,b-x),(-a-x,0,c-x),(-b-x,-c-x,0)| Then coefficient of x^(2) in f(x) is

If f : R rarr R be defined as f(x) = 2x + |x| , then f(2x) + f(-x) - f(x) is equal to

Let f: R to R be defined by f(x) = 5^(2x)/(5^(2x) + 5) , then f(x) + f(1-x) is equal to

If f:R rarr R be defined as f(x)=2x+|x| then f(2x)+f(-x)-f(x) is equal to

Let inte^(x){f(x)-f'(x)}dx=phi(x) . then, inte^(x)f(x)dx is equal to

MCGROW HILL PUBLICATION-DETERMINANTS-EXERCISE (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Let Delta=|(a,x,x),(x,b,x),(x,x,c)| and f(x)=(x-a)(x-b)(x-c) Det...

    Text Solution

    |

  2. Straight line |(2-x-y,4,4),(2x,x-y-2,2x),(2y,2y,y-2-x)|=0 passes t...

    Text Solution

    |

  3. Suppose a in R. Let f(x)=|(x+a,x,x),(x,x+a,x),(x,x,x+a)|then f(2 x)-f(...

    Text Solution

    |

  4. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

    Text Solution

    |

  5. If alpha,beta & gamma are the roots the equations x^(3)+px+q=0 then th...

    Text Solution

    |

  6. If a,b,c are non-zero real number such that |(bc,ca,ab),(ca,ab,bc),(ab...

    Text Solution

    |

  7. The determinant Delta =|(lamda a , lamda^(2)+a^(2),1),(lamda b,lamda^(...

    Text Solution

    |

  8. If alpha,beta,gamma are real numbers, then determinant Delta=|(sin^2 a...

    Text Solution

    |

  9. If bc+ca+ab=18 and |(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))...

    Text Solution

    |

  10. If x!=0 the determinant Delta=|(a(0),a(1),a(2)),(-x,x,0),(0,-x,x)| ...

    Text Solution

    |

  11. If x epsilon R the determinant Delta=|(1,cosx,0),(-1,1-cosx,sinx+cos...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the maximum value of |1 1 1 1 1+sintheta1 1 1 1+costheta|

    Text Solution

    |

  14. If |(x +a,b,c),(a,x +b,c),(a,b,x +c)| = 0, then x equals

    Text Solution

    |

  15. The determinant |(sec^(2)theta, tan^(2)theta,1),(tan^(2)theta, sec^(...

    Text Solution

    |

  16. If Delta=|(-a,2b,0),(0,-a,2b),(2b,0,-a)|=0 then

    Text Solution

    |

  17. The determinant Delta=|(1,1+i,i),(1+i,i,1),(i,1,1+i)| equals

    Text Solution

    |

  18. If a,b,c are non zero real numbers then Delta=|(1,ab,1/a+1/b),(1,bc,...

    Text Solution

    |

  19. If a,b,c gt1 then Delta=|(log(a)(abc),log(a)b,log(a)c),(logb(abc),1,lo...

    Text Solution

    |

  20. Prove that /\ |[a+bx, c+dx, p+qx],[-ax+b, cx+d, px+q],[u,v,w]|=(1-x^2...

    Text Solution

    |