Home
Class 11
MATHS
Find the relation between a and b so tha...

Find the relation between a and b so that `(2x^4 - 7x^3 + ax + b)` may be divisible by `(x - 3)`.

Promotional Banner

Topper's Solved these Questions

  • Model Test Set -3

    UNITED BOOK HOUSE|Exercise Exercise|43 Videos
  • NAVA NALANDA

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

Find the relationship between a and b so that the function f defined by f(x)={{:(ax+1," if "x le 3),(bx+3," if "x gt 3):} is continuous at x=3.

Find the relation between x and y such that the point (x , y) is equidistant from the points (7, 1) and (3, 5).

If the relation between two variables x and y is 2x - 3y = 4, what is the relation between their ranges?

The expression x^3-7x+6 is divisible by :

Find the acute angle between the lines 7x-4y =0 and 3x-11y +2=0.

Find the area enclosed between the parabolas y^(2)=4b(b-x) and y^(2)=4a(x+a) .

If 2x^4 - 7x^3 + ax + b is divisible by (x - 3), then the relation between a and b is

Find the condition for which the polynomial x^(3)+(a+b)x+p is divisible by (x + a + b).

Find the ratio in which the line segment joining the pionts A (3, -3) and B (-2, 7) is divided by x-axis. Also, find the coordinates of the point of division.

Find the remainder when f (x) =x ^(4) - 3x ^(2) + 4 is divided by g (x) =x -2 and verify the result by actual division .

UNITED BOOK HOUSE-Model Test Set-2-Exercise
  1. If the A.M. and S.D. at n observation x1, x2,………….xn be barx and s res...

    Text Solution

    |

  2. n persons are seated on n chairs at a round table. Find the probabilit...

    Text Solution

    |

  3. State the statistical definition of probability.

    Text Solution

    |

  4. Describe Ratio chart.

    Text Solution

    |

  5. Find the standard deviation of the values a,a+b,a+2b,a+3b,...,a+2nb(b>...

    Text Solution

    |

  6. If the values of a variable be increased by 10, show the effect on ari...

    Text Solution

    |

  7. If Y = a + bx, a, b be two real constants, then prove that Range (y) =...

    Text Solution

    |

  8. Prove that /\ log f(x) = log[1+(/\ f(x))/(f(x) ].

    Text Solution

    |

  9. Find /\^2(e^(ax+b)), taking the interval of differencing as 1.

    Text Solution

    |

  10. Find the relation between a and b so that (2x^4 - 7x^3 + ax + b) may b...

    Text Solution

    |

  11. If x > 0, y >0, z > 0 and x +y + z = 1, prove that (1+x)(1+y)(1+z)ge 8...

    Text Solution

    |

  12. If P(A) = 1/2, P(B) = 1/3, and P(A^c cap B^c) = 5/12, find P(AIB) and...

    Text Solution

    |

  13. What is the probability that a number selected at random from, 1, 2, 3...

    Text Solution

    |

  14. In a throw of two unbiased dice, a boy gets a total of 5. Find the pro...

    Text Solution

    |

  15. Write down the merits and demerits of mass questionnaire method.

    Text Solution

    |

  16. State how different measures of Central tendency are affected when all...

    Text Solution

    |

  17. State how different measures of Central tendency are affected when all...

    Text Solution

    |

  18. Prove that Mean deviation is minimum about its median.

    Text Solution

    |

  19. Two groups of students are arranging an picnic near a lake.The probabi...

    Text Solution

    |

  20. Give the forniula of Fisher’s index number ?

    Text Solution

    |