Home
Class 12
MATHS
Let f and g be two differentiable functi...

Let f and g be two differentiable functins such that:
`f (x)=g '(1) sin x+ (g'' (2) -1) x`
`g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2))`
The number of solution (s) of the equation `f (x) = g (x)` is/are :

A

1

B

2

C

3

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|1 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|36 Videos

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|31 Videos

  • DETERMINANTS

    VK JAISWAL|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|11 Videos

Similar Questions

Explore conceptually related problems

Let f and g be two differential functions such that f(x)=g'(1)sin x+(g''(2)-1)xg(x)=x^(2)-f'((pi)/(2))x+f''((-pi)/(2))

Let f and g be two differentiable functins such that: f (x)=g '(1) sin x+ (g'' (2) -1) x g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2)) If phi (x) =f ^(-1) (x) then phi'((pi)/(2) +1) equals to :

Let f and g be two differentiable functins such that: f (x)=g '(1) sin x+ (g'' (2) -1) x g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2)) If int(g (cos x))/( f (x)-x)dx = cos x + ln (h (x))+C where C is constant and h((pi)/(2)) =1 then |h ((2pi)/(3))| is:

Let f (x) and g (x) be two differentiable functions, defined as: f (x)=x ^(2) +xg'(1)+g'' (2) and g (x)= f (1) x^(2) +x f' (x)+ f''(x). The value of f (1) +g (-1) is:

If : f(x)=x^2 and g(x)=2^x, then, the solution set of the equation (f@g)(x)=(g@f)(x) is

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

Let f(x) and g(x) be differentiable functions such that f(x)+ int_(0)^(x) g(t)dt= sin x(cos x- sin x) and (f'(x))^(2)+(g(x))^(2) = 1,"then" f(x) and g (x) respectively , can be

VK JAISWAL-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

    Text Solution

    |

  2. Let f :R to R be a continous and differentiable function such that f (...

    Text Solution

    |

  3. Let f :R to R be a continous and differentiable function such that f (...

    Text Solution

    |

  4. Let f :R to R be a continous and differentiable function such that f (...

    Text Solution

    |

  5. f(x)=(cos^2x)/(1+cosx+cos^2x) and g(x)=ktanx+(1-k)sinx-x, where k in R...

    Text Solution

    |

  6. f(x)=(cos^2x)/(1+cosx+cos^2x) and g(x)=ktanx+(1-k)sinx-x, where k in R...

    Text Solution

    |

  7. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

    Text Solution

    |

  8. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

    Text Solution

    |

  9. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

    Text Solution

    |

  10. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

    Text Solution

    |

  11. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

    Text Solution

    |

  12. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

    Text Solution

    |

  13. Suppose a function f(x) satisfies the following conditions f (x+y) =...

    Text Solution

    |

  14. Suppose a function f(x) satisfies the following conditions f (x+y) =...

    Text Solution

    |

  15. Let f (x) be a polynomial satisfying lim (x to oo) (x ^(4) f (x))/( x ...

    Text Solution

    |

  16. Let f (x) be a polynomial satisfying lim (x to oo) (x ^(4) f (x))/( x ...

    Text Solution

    |

  17. Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta b...

    Text Solution

    |

  18. Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta b...

    Text Solution

    |

  19. Let f (n) x+ f (n) (y ) = (x ^(n)+y ^(n))/(x ^(n) y ^(n))AA x, y in R-...

    Text Solution

    |

  20. Let f (n) x+ f (n) (y ) = (x ^(n)+y ^(n))/(x ^(n) y ^(n))AA x, y in R-...

    Text Solution

    |