Home
Class 12
MATHS
Consider the function {:( f(x) (P(X))/...

Consider the function `{:( f(x) (P(X))/(sin (x-2)), x ne 2 ),(=7,x=2):}`
Where P(x) is a polynomial such that P' ' (x) is always a constant and P(3) = 9. If f(x) is continuous at x = 2, then P(5) is equal to ________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section A|40 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section B|20 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-A)|80 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(P(x))/(sin(x-2)) f(x) is continous at x=2 and f(2)=7 . P(x) is polynomial where P''(x) is constant and P(3)=9 then find the value of P(5) .

If P(x) is a polynomial such that P(x^(2)+1)={P(x)}^(2)+1 and P(0)=0, then P'(0) is equal to

If f(x ) = a^x , then [ f(p) ]^3 is equal to

If P(x) is a polynomial such that P(x)+P(2x)=5x^2-18 , then lim_(xrarr3) (P(x))/(x-3) , is

Let P(x)=P(0)+P(1)x+P(2)x^(2) be a polynomial such that P(-1)=1 ,then P(3) is :

Consider the function f(x)=|{:(x^(3),sinx,cosx),(6,-1,0),(p,p,p^(3)):}| where p is a constant. What is the value of f'(0) ?

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of f'(0) ?

If f(x) and g(x) are two polynomials such that the polynomial P(x)=f(x^(3))+g(x^(3)) is divisible by x^(2)+x+1 , then P(1) is equal to ........

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-B)
  1. The number of elements in the set {n in {1, 2, 3,…, 100} | (11)^(n) gt...

    Text Solution

    |

  2. Let n in N and [x] denote the greatest integer less than or equal to ...

    Text Solution

    |

  3. Consider the function {:( f(x) (P(X))/(sin (x-2)), x ne 2 ),(=7,x=2)...

    Text Solution

    |

  4. Equation of circle Re(z^2)+2(img(z))^2+2Re(z)=0 where z=x+iy .A line p...

    Text Solution

    |

  5. If a rectangle is inscribed in an equilateral triangle of side length ...

    Text Solution

    |

  6. If (veca + 3 vecb) is perpendicular to ( 7 veca - 5 vecb) and ...

    Text Solution

    |

  7. Let a curve y = f(x) pass through the point (2, (loge 2)^2) and have...

    Text Solution

    |

  8. If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a^4...

    Text Solution

    |

  9. A coin is tossed n times, if the probability of getting at least one h...

    Text Solution

    |

  10. If the coefficients of x^(7) and x^(8) in the expansion of (2+(x)/(3))...

    Text Solution

    |

  11. If the lines (x-k)/(1) = (y-2)/(2) = (z-3)/(3) and (x+1)/(3) = (y ...

    Text Solution

    |

  12. For real numbers alpha and beta, consider the following system of line...

    Text Solution

    |

  13. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) and vec(c )= hat(j)-hat(...

    Text Solution

    |

  14. If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...

    Text Solution

    |

  15. Find the domain of function f(x)=(log)4[(log)5{(log)3(18 x-x^2-77}]

    Text Solution

    |

  16. Let f(x)= |(sin^(2)x,-2+cos^(2)x,cos2x),(2+sin^(2)x,cos^(2)x,cos2x),(s...

    Text Solution

    |

  17. Let F:[3,5] rarr R be a twice differentiable function on (3,5) such th...

    Text Solution

    |

  18. Let a plane p passes through the point (3,7,-7) and contain the line ,...

    Text Solution

    |

  19. Let S= {1,2,3,4 5,6, 7}. Then the number of possible functions f: S ra...

    Text Solution

    |

  20. If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equ...

    Text Solution

    |