Home
Class 12
MATHS
If f(x)|a-1 0a x a-1a x^2a x a|, using p...

If `f(x)|a-1 0a x a-1a x^2a x a|,` using properties of determinants, find the value of `f(2x)-f(x)dot`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Examples (FREQUENCY ASKED QUESTIONS)|28 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Examples (QUESTIONS FROM NCERT EXAMPLAR|4 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|a-10axa-1ax^(2)axa|, using properties of determinants,find the value of f(2x)-f(x)

If f(x)=|[a,-1 ,0],[ax,a,-1],[a x^2,a x, a]|, using properties of determinants, find the value of f(2x)-f(x)dot

If f(x)=1-1/x then write the value of f(f(1/x))dot

If f(x+1/x)=x^2+1/x^2 then find the value of f(x)

Find the value of f(f(-2)) , if f(x)=(x)/(x+1)

if f(x)=(x-1)/abs(x-1) find the value of f(-1) and f(2)

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

If f'(x)=(1)/(x)+x^(2) and f(1)=(4)/(3) then find the value of f(x)

f(0)=1 , f(2)=e^2 , f'(x)=f'(2-x) , then find the value of int_0^(2)f(x)dx

If 2f(x)+3f(-x)=x^(2)-x+1, find the value of f'(1)

MODERN PUBLICATION-DETERMINANTS-FREQUENTLY ASKED QUESTIONS
  1. The maximum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is 1/...

    Text Solution

    |

  2. Using properties of determinants prove that ((1,1, 1+3x),(1+3y,1,1),(...

    Text Solution

    |

  3. If Delta=|{:(1,a,a^(2)),(a,a^(2),1),(a^(2),1,a):}|=-4, then find the v...

    Text Solution

    |

  4. Prove that : |{:(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c):}|=2|{:(a,...

    Text Solution

    |

  5. |[b^2c^2,bc,b+c] , [c^2a^2,ca,c+a] , [a^2b^2,ab,a+b]|=0

    Text Solution

    |

  6. Without expanding, prove that the following determinants vanish : |{...

    Text Solution

    |

  7. If f(x)|a-1 0a x a-1a x^2a x a|, using properties of determinants, fin...

    Text Solution

    |

  8. Using properties of determinants , find the value of k if |{:(x,y,x+...

    Text Solution

    |

  9. Prove that : |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^(...

    Text Solution

    |

  10. If x,y,z are different and Delta=|{:(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)...

    Text Solution

    |

  11. Prove that : |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+(1)/(a)+(1)/(...

    Text Solution

    |

  12. Show that |[1,1,1],[a^2,b^2,c^2],[a^3,b^3,c^3]|=(b-c)(c-a)(a-b)(bc+ca...

    Text Solution

    |

  13. Prove that |{:(a^(2)+1,ab,ac),(ab,b^(2)+1,bc),(ac,bc,c^(2)+1):}|=1+a...

    Text Solution

    |

  14. Prove that |y z-x^2z x-y^2x y-z^2z x-y^2x y-z^2y z-x^2x y-z^2y z-x^2z ...

    Text Solution

    |

  15. Prove that |[-a^(2),ab,ac],[ba,-b^(2),bc],[ca,cb,-c^(2)]|=4a^(2)b^(2)c...

    Text Solution

    |

  16. |[x+2,x+6,x-1],[x+6,x-1,x+2],[x-1,x+2,x+6]|=

    Text Solution

    |

  17. Using properties of determinants, prove that : |{:((x+y)^(2),zx,xy),...

    Text Solution

    |