Home
Class 12
MATHS
If x nearly equal to 1 show that (px^q ...

If x nearly equal to 1 show that `(px^q - qx^p)/(x^q - x^p) = (1)/(1 -x)` ( nearly)

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - I|27 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - II|109 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 3.3 (LONG ANSWER QUESTIONS)|30 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

If x nearly equal to 1 show that (px^p - qx^q)/(p-q) = x^(p+q) (nearly)

If x is nearly equal to 1 show that (a) (px^(p)-qx^(q))/(p-q)=x^(p+q) (nearly) (b) (px^(q)-qx^(p))/(x^(q)-x^(p)) =(1)/(1-x) (nearly) (Hint : Take x=1+delta x and proceed)

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

Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=7 . If (u'(x))/(v'(x))=p and ((u(x))/(v(x)))^'=q , then (p+q)/(p-q)=

If |x| lt 1 then (d)/(dx ) [1+ (px)/(q) + (p (p+q))/(2 !)((x)/(q))^(2) + (p(p+q) (p+ 2q))/(3!) ((x )/(q))+...]=

IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are equal in magnitude and opposite in sign , then p+q +r=

If 2, 3 are the roots of the equation 2x^(3) + px^(2) - 13x + q = 0, then (p , q) =

Let X be a random variable such that P(X = - 2) = P ( X = - 1) = P ( X = 2) = P ( X = 1) = 1//6 and P (X = 0 ) = 1//3 , then find the mean of x .

If alpha , beta , gamma are the roots of x^3 -px^2 +qx -r=0 and r ne 0 then find (1)/( alpha^2) +(1)/( beta^2) +(1)/( gamma ^2) in terms of p,q ,r

AAKASH SERIES-BINOMIAL THEOREM-ADDITIONAL EXERCISE
  1. Find the number of distinct terms in the expansion (x+ y + z)^10+ ...

    Text Solution

    |

  2. Find the coefficient of x^10 in the expansion of (1+2x)^21 + (1 + 2x)^...

    Text Solution

    |

  3. The expansion [x+(x^3-1)^(1//2)]^5+[x-(x^3-1)^(1//2)]^5 is a polynomia...

    Text Solution

    |

  4. If the middle term of the expansion of (1+x)^(2n) is the greatest term...

    Text Solution

    |

  5. Show that the greatest coefficient in the expansion of ( x + y + z + w...

    Text Solution

    |

  6. Find the sum of the coefficients of integral powers of x in (1+3sqrtx)...

    Text Solution

    |

  7. If n is integer greater than 1 show that a -^n C1 (a - 1) +^n C2(a...

    Text Solution

    |

  8. Prove that (C0)/(1)+ (C2)/(3) + (C4)/(5) + (C6)/(7) +…….= (2^n)/(n+ 1)

    Text Solution

    |

  9. Prove that (1)/(1!(n-1)!) + (1)/(3!(n-3)!)+ (1)/(5!(n-5)!) + …….= ...

    Text Solution

    |

  10. Show that sum(r = 0)^50 (""^100Cr).(""^200C(150+r)) = ""^300C50

    Text Solution

    |

  11. Show that C0 + (C0 + C1) + (C0 +C1 + C2)+……. + (C0 + C1 + …+Cn)= (n+2...

    Text Solution

    |

  12. If x > 0 , write the first negative term in the expansion of (1 + 2x)^...

    Text Solution

    |

  13. Find the coefficient of x^n in the expansion of (1+ 2x + 3x^2 + 4x^3 +...

    Text Solution

    |

  14. Find the coefficient of x^6 in (1+ x + x^2 + x^3+…….oo)(1+x^2 +x^4 + x...

    Text Solution

    |

  15. Find the coefficient of x^5 in (1 + x + x^2 + x^3)^5 (1+x+x^2 + x^3 + ...

    Text Solution

    |

  16. Find the coefficient of x^7 in the expansion of (1+2x + 3x^2 + 4x^3 + ...

    Text Solution

    |

  17. If x is small and if the expansion of a + (b)/(1 + 2x) + ( c)/(1 -3x^2...

    Text Solution

    |

  18. If x nearly equal to 1 show that (px^p - qx^q)/(p-q) = x^(p+q) (nearl...

    Text Solution

    |

  19. If x nearly equal to 1 show that (px^q - qx^p)/(x^q - x^p) = (1)/(1 -...

    Text Solution

    |

  20. 1+n. (2n)/(1+n)+(n(n+1))/(1.2) ((2n)/(1+n))^2+…..

    Text Solution

    |