Home
Class 11
MATHS
Prove that /\^2(ab^(ex))=(b^c-1)^2ab^(ex...

Prove that `/_\^2(ab^(ex))=(b^c-1)^2ab^(ex)`.

Promotional Banner

Topper's Solved these Questions

  • Model Test Set - 4

    UNITED BOOK HOUSE|Exercise Exercise|42 Videos
  • Model Test Set - 6

    UNITED BOOK HOUSE|Exercise Exercise|41 Videos

Similar Questions

Explore conceptually related problems

If g(x)=(x-a)/(x)+(x)/(x-b) , prove that, g((a+b)/(2))=(4ab)/(a^2-b^2)

If a+b+c= 0 prove that 1/(2a^2+bc)+1/(2b^2+ca)+1/(2c^2+ab)=0

prove that d/dx(x^x)=x^x(1+log_ex)

Prove that the points (a,bc-a^(2)),(b,ca-b^(2)),(c,ab-c^(2)) are collinear.

Without expanding prove that [{:(b^(2)-ab,b-c,bc-ac),(ab-a^(2),a-b,b^(2)-ab),(bc-ac,c-a,ab-a^(2)):}]=0

if a:b = b:c prove that ((a+b)/(b+c))^2 = (a^2+b^2)/(b^2+c^2) .

Prove that {:|( a^(2) , bc, ac+c^(2)),( a^(2) +ab,b^(2) ,ac),( ab,b^(2) +bc,c^(2)) |:} =4a^(2) b^(2) c^(2)

In the right-angled triangle ABC, /_C = 90^(@) .If the length of perpendicular drawn from C on AB be p and AB=c,BC =a,CA=b , then prove that (a)(1)/(p^(2))=(1)/(a^(2) )+ (1)/(b^(2)) , (b) pc = ab .

If A and B are square matrices such that AB = BA then prove that A^(3)-B^(3)=(A-B) (A^(2)+AB+B^(2)) .

Prove that (a^(3/2)+ab)/(ab-b^3)-(sqrt(a))/(sqrt(a)-b)=(sqrt(a))/(b) .

UNITED BOOK HOUSE-Model Test Set - 5-Exercise
  1. What are different measures of skewness.

    Text Solution

    |

  2. A, B and C are three mutually exclusive and exhaustive events associat...

    Text Solution

    |

  3. The probability that a student passes a physics test is 2/3 and the th...

    Text Solution

    |

  4. Show that if events A and B are independent, then so are A^c and B^c.

    Text Solution

    |

  5. What is the difference between A^@ and AU?

    Text Solution

    |

  6. Write a short note on histogram of a frequency distribution.

    Text Solution

    |

  7. If the relation between two variables x and y is 2x + 3y = 7 and media...

    Text Solution

    |

  8. Suppose 2x - 3y = 5 is the relation between the varibles x and y. If t...

    Text Solution

    |

  9. Derive Largrange’s interpolation formula for n = 3.

    Text Solution

    |

  10. Prove that /\^2(ab^(ex))=(b^c-1)^2ab^(ex).

    Text Solution

    |

  11. Given that x. y, z are unequal positive numbers show that 1/x+1/y+1/z ...

    Text Solution

    |

  12. Prove that log5^7 < sqrt2.

    Text Solution

    |

  13. If A an B are two events such that P(A) = 3/4 and P(B^c) = 3/8. then p...

    Text Solution

    |

  14. An investment consultant predicts that the odds against the price of a...

    Text Solution

    |

  15. A and B alternatively toss a fair coin. The first one to throw a head ...

    Text Solution

    |

  16. What do you mean by purchasing power of money?

    Text Solution

    |

  17. In a frequency table, the upper boundary of each class-interval has a ...

    Text Solution

    |

  18. State and Prove the theorem of compound probability. If events are ind...

    Text Solution

    |

  19. Three groups of children contain respectively 3 girls and 1 boy, 2 gir...

    Text Solution

    |

  20. Write down uses of index numbers.

    Text Solution

    |