Home
Class 9
MATHS
If x-kx^(2)+4 = (x+1) (x-a) be an ident...

If `x-kx^(2)+4 = (x+1) (x-a)` be an identity , then find the value of k and a .

Promotional Banner

Topper's Solved these Questions

  • FACTORISATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 2.4 (Long -answer type questions )|11 Videos

  • FACTORISATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 2.4 (MCQ)|13 Videos

  • DISTANCE FORMULAS

    CALCUTTA BOOK HOUSE|Exercise Long answer|11 Videos

  • FREQUENCY DISTRIBUTIONS OF GROUPED DATA

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1 (LONG TYPE ANSWER QUESTION)|14 Videos

Similar Questions

Explore conceptually related problems

If (a^2-1)x^2+(a-1)x+a^2-4a+3=0 is identity in x , then find the value of a .

Let f and g be two functions defined by f(x)=(x)/(x+1), g(x) =(x)/(1-x) . If ( f o g ) ^(-1) (x) is equal to kx, then find the value of k.

If f(x)= (Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

If sin^(-1) (x^(2) + 2x + 2) + tan^(-1) (x^(2) - 3x - k^(2)) gt (pi)/(2) , then find the value of k

f:R to R is defined as f(x)= {{:(x^(2)+kx+3",",,"for "xge0),(2kx+3",",,"for "x lt0):} . If f(x) is injective, then find the values of k .

If (x - 1) be a factor of (4x^(2)-kx+1) , find the value of k.

If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^2 - 7x +4)

If the product of the roots of the equation x^(2)-3kx+2e^(2log_(e)k)-1=0 be 7, then find the value of k.

If the sum of the roots and product of the roots of the quadratic equation kx^(2)+2x+3k=0(kne0) are equal, then find the value of k.

If int (dx)/((2x-7) sqrt((x-3) (x-4))) = 1/k sec^(-1) (2x-7)+ c , then the value of k is -

CALCUTTA BOOK HOUSE-FACTORISATION-EXERCISE 2.4 (Short -answer type questions )
  1. Prove that (x^(201)+1) is divisible by (x+1).

    Text Solution

    |

  2. If a = 1 , b = 2 , c = 3 , then find then value of (2a^(2)+2b^(2)+2c^...

    Text Solution

    |

  3. Show that (17^(3)+7^(3)) is divisible by 24.

    Text Solution

    |

  4. If a + b + 1 = 0 , determine the value of (a^(3)+b^(3)-3ab+1).

    Text Solution

    |

  5. If a = b = c = 99999 , then find the value of (a^(3)+b^(3)+c^(3)-3abc)

    Text Solution

    |

  6. If a + b + c = 8 and ab + bc + ca = 11 , then find the value of a^(3)+...

    Text Solution

    |

  7. If 3x = a + b + c , then find the value of (x-a)^(3)+(x-b)^(3)+(x-c)^(...

    Text Solution

    |

  8. If a^(2)-b^(2)=224 where a and b are negative integers (a lt b) the...

    Text Solution

    |

  9. If c be a whole number , but not a natural number and if (a^(2))/(b)+(...

    Text Solution

    |

  10. Find the value of (0.01)^(3)-(0.011)^(3)+(0.001)^(3)+0.00000033

    Text Solution

    |

  11. Find : ((b^(2a)-c^(2a))^(3)+(c^(2a)-a^(2a))^(3)+(a^(2a)-b^(2a))^(3))/(...

    Text Solution

    |

  12. If 3s = a + b + c , then find (s-a)^(3)+(s-b)^(3)+(s-c)^(3)+3(s-a)(s-b...

    Text Solution

    |

  13. Calculate : (80)^(3)-(20)^(3)-(60)^(3)

    Text Solution

    |

  14. Calculate : (10^(3)+4^(3))/(10^(2)-24)

    Text Solution

    |

  15. If a + b +5 = 0 , then find the value (a^(3)+b^(3)-15ab+125)

    Text Solution

    |

  16. If a - b = - 1 then find the value of (a^(3)-b^(3)+3ab+1)

    Text Solution

    |

  17. If ane0, determine the number of factors of ka^(2)-(27)/(a)

    Text Solution

    |

  18. If x-kx^(2)+4 = (x+1) (x-a) be an identity , then find the value of k...

    Text Solution

    |

  19. If a and b be two positive integers (agtb) such that a^(2)-b^(2)=39...

    Text Solution

    |

  20. If (x)/(y)+(y)/(z)+(z)/(x)=0, " then find "[((x)/(y))^(3)+((y)/(z))^(3...

    Text Solution

    |