Home
Class 11
MATHS
The coefficicent of x in f(x) =|{:(x,1+s...

The coefficicent of x in `f(x) =|{:(x,1+sinx,cosx),(1, log(1+x),2),(x^2,1+x^2,0):}|` where `-1ltxle1, ` is

A

`Delta_(2)^(3)`

B

`Delta_(2)^(2)`

C

`Dleta_(2)^(4)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

Coefficient of x in f(x)=|(x,(1+sinx)^3,cosx),(1,log(1+x),2),(x^2,(1+x)^2,0)| is

Let f(x) = |{:(cos x ,1,0 ),(1,2cosx,1),(0,1,2cosx):}| then

If f(x)= {{:(,(x log cos x)/(log(1+x^(2))),x ne 0),(,0,x=0):} then

The value of lim_(xto0) (1+sinx-cosx+log(1-x))/(x^(3)) is

If f(x)=|(0,x^2-sinx,cosx-2),(sinx-x^2,0,1-2x),(2-cosx,2x-1,0)|, then int f(x) dx is equal to

If Delta (x)=|{:(x,1+x^(2),x^(3)),(log(1+x^(2)),e^(x),sinx),(cosx,tanx,sin^(2)x):}| then

Discuss the continuity of the function f(x)= {(x , 0 le x lt1/2 ),( 12,x=1/2),( 1-x , 1/2ltxle1):} at the point x=1//2 .

The period of f(x)=(1)/(2){(| sinx|)/(cos x)+(|cosx|)/(sinx)} , is

The period of f(x)=(1)/(2){(| sinx|)/(cos x)-(|cosx|)/(sinx)} , is

f(x) = {{:((1-coskx)/(x sinx), if x ne 0),(1/2, if x = 0):} at x = 0

OBJECTIVE RD SHARMA ENGLISH-DETERMINANTS-Exercise
  1. The value of |(a,a^(2) - bc,1),(b,b^(2) - ca,1),(c,c^(2) - ab,1)|, is

    Text Solution

    |

  2. Find the number of real root of the equation |0x-a x-b x+a0x-c x+b x+c...

    Text Solution

    |

  3. The repeated factor of the determinant |(y +z,x,y),(z +x,z,x),(x +y,...

    Text Solution

    |

  4. The value of the determinant Delta = |((1 - a(1)^(3) b(1)^(3))/(1 - ...

    Text Solution

    |

  5. The determinant Delta = |(b,c,b alpha +c),(c,d,c alpha + d),(b alpha...

    Text Solution

    |

  6. Delta = |(1//a,1,bc),(1//b,1,ca),(1//c,1,ab)|=

    Text Solution

    |

  7. If |(1 +ax,1 +bx,1 + bx),(1 +a(1) x,1 +b(1) x,1 + c(1) x),(1 + a(2) x,...

    Text Solution

    |

  8. If abc!=0 then |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| is

    Text Solution

    |

  9. If 1 + (1)/(a) + (1)/(b) + (1)/(c) = 0, then Delta = |(1 +a,1,1),(1,...

    Text Solution

    |

  10. If a, b and c are all different from zero and Delta = |(1 +a,1,1),(1...

    Text Solution

    |

  11. In a Delta ABC, a, b, c are sides and A, B, C are angles opposite to t...

    Text Solution

    |

  12. If |(-12,0,lamda),(0,2,-1),(2,1,15)| = -360, then the value of lamda i...

    Text Solution

    |

  13. If a(i), i=1,2,…..,9 are perfect odd squares, then |{:(a(1),a(2),a(3))...

    Text Solution

    |

  14. If maximum and minimum values of the determinant |{:(1+sin^(2)x,cos...

    Text Solution

    |

  15. If [x] denote the greatest integer less than or equal to x then in ord...

    Text Solution

    |

  16. If a, b gt 0 and Delta (x)= |(x,a,a),(b,x,a),(b,b,x)|, then

    Text Solution

    |

  17. If f(x)=ax^2+bx+c,a,b,cepsilonR and the equation f(x)-x=0 has imaginar...

    Text Solution

    |

  18. Let g(x)|f(x+c)f(x+2c)f(x+3c)f(c)f(2c)f(3c)f^(prime)(c)f^(prime)(2c)f^...

    Text Solution

    |

  19. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

    Text Solution

    |

  20. The coefficicent of x in f(x) =|{:(x,1+sinx,cosx),(1, log(1+x),2),(x^2...

    Text Solution

    |