Home
Class 12
MATHS
If [(a,b),(c,1-a)] is an idempotent matr...

If `[(a,b),(c,1-a)]` is an idempotent matrix and `f(x)=x-x^(2)` and `bc=1//4`, then the value of `f(a)` is ______ .

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|92 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos

  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

If [[a, b],[ c,1-a]] is an idempotent matrix and f(x)=x-x^2 , bc=1/4 , then the value of 1//f(a) is ______.

If [a b c1-a] is an idempotent matrix and f(x)=x-^2=b c=1//4 , then the value of 1//f(a) is ______.

If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1 , then the value of (a+b) is __

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

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

If f(x) = (x + 1)/(x-1) , then the value of f{f(3)} is :

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

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

Let ("lim")_(xvec1)(x^a-a x+a-1)/((x-1)^2)=f(a)dot Then the value of f(4) is _________

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -LEVEL 2
  1. Suppose a, b, c, in R and abc = 1, if A = [[3a, b, c ],[b, 3c, a ],[c...

    Text Solution

    |

  2. A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+I) V=[[0] ,[11]](w h e r eIi s...

    Text Solution

    |

  3. If [(a,b),(c,1-a)] is an idempotent matrix and f(x)=x-x^(2) and bc=1//...

    Text Solution

    |

  4. Let x be the solution set of equation A^x=Idot,w h e r eA+[0 1-1 4-3 4...

    Text Solution

    |

  5. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

    Text Solution

    |

  6. If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...

    Text Solution

    |

  7. Let A=[(3x^(2)),(1),(6x)], B=[(a,b,c)], and C=[((x+2)^(2),5x^(2),2x)...

    Text Solution

    |

  8. Let A=[a("ij")](3xx3) be a matrix such that A A^(T)=4I and a("ij")+2c(...

    Text Solution

    |

  9. Let S be the set which contains all possible values of l, m, n, p, q, ...

    Text Solution

    |

  10. Let alpha,beta,gamma are the real roots of the equation x^3+a x^2+b x+...

    Text Solution

    |

  11. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|[a1,a2,a3],[5, 4,a6...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. The sum of roots of the equations |{:(x+2,,2x+3,,3x+4),(2x+3,,3...

    Text Solution

    |

  14. If alpha,beta,gamma are real numbers, then without expanding at any...

    Text Solution

    |

  15. Prove that |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(...

    Text Solution

    |

  16. Express =|2b c-a^2c^2b^2c^2 2c a-b^2a^2b 62a^2 2a b-c^2| as square of ...

    Text Solution

    |

  17. Prove without expansion that |a h+bgga b+c h bf+b afh b+b c af+b cc bg...

    Text Solution

    |

  18. If y= |[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1,1]|, find (dy)/(dx)

    Text Solution

    |

  19. If f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(npi)/2 8| then find the val...

    Text Solution

    |

  20. Show that |{:(bc-a^(2),,ca-b^(2),,ab-c^(2)),(ca-b^(2),,ab-c^(2),,bc-a^...

    Text Solution

    |