Home
Class 12
MATHS
Find the arithmetic between : (i) 56...

Find the arithmetic between :
(i) 56 and 64
(ii) ` x^(2) - y^(2) and x^(2) + y^(2)`
(iii)` - 15 and 63 `

Text Solution

Verified by Experts

(i) A.M. between 56 and 64 ` = (56 + 64)/(2) = (120)/(2) = 60 `
(ii) A.P. between ` x^(2) - y^(2) and x^(2) + y^(2) = (x^(2) - y^(2) + x^(2) + y^(2))/(2) = (2x^(2))/(2) = x^(2)`
(iii) A.P. between -15 and ` 63 = (-15 + 63 )/(2) = (48)/(2) = 24` .
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A) One option is correct|60 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - B) One option is correct|50 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

I. x^(2) - 72 = x" " II. y^(2) = 64

Find the arithmetic mean of the following : (i) 8 and 16 (ii) -6 and 14 (iii) x+y and x-y (iv) (x+y)^(2) and (x-y)^(2)

(a) Draw the rough sketch and find the area of the region included between the parabolas : (i) y ^(2) = 4x and x ^(2) = 4y (ii) y ^(2) = 9x and x ^(2) - 9y (iii) y ^(2) = 16x and x ^(2) = 16y. (b) Find the ratio in which the area bounded by the curves y ^(2) = 12x and x ^(2) = 12y is divided by the line x =3.

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))

I. 3x^(2) - 7x+2 = 0" " II. 2y^(2) - 11y + 15 = 0

Find the angle between the planes : (i) 3 x - 6y - 2z = 7 " " 2x + y - 2z = 5 (ii) 4 x + 8y + z = 8 " " and y + z = 4 (iii) 2 x - y + z =6 " " and x + y + 2z = 7 .

(i) 7x^(2) + 16x - 15 = 0 (ii) 5y^(2)+ 8y - 21 = 0

(i) 15x^(2) - 8x + 1 = 0 (ii) 6y^(2) - 19y + 10 = 0

I. 4x^(2) - 32 x + 63 = 0" " II. 2y^(2) - 11y + 15 = 0

(i) 12x^(2) + 11x + 2 = 0 (ii) 25y^(2) + 15y+2 = 0

AAKASH INSTITUTE-SEQUENCES AND SERIES -Try Yourself
  1. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

  2. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  3. Find the arithmetic between : (i) 56 and 64 (ii) x^(2) - y^(2)...

    Text Solution

    |

  4. If the A.M. between p^(th) and q^(th) terms of an A.P. , be equal to...

    Text Solution

    |

  5. If (x^p+y^p)/(x^(p-1)+y^(p-1)) be the A.M. between x and y then find t...

    Text Solution

    |

  6. Prove that the sum of n arithmetic means between two numbers in n time...

    Text Solution

    |

  7. Insert 5 numbers between 7 and 25 such that the resulting sequence is ...

    Text Solution

    |

  8. If A1,A2,A3, A2 and A5 are the five A.M.\'s between 2 nd 8, then find ...

    Text Solution

    |

  9. Find the sequence whose n^(th) term is 5^(n-1) it a G.P. ? Find it...

    Text Solution

    |

  10. Find the sequence whose n^(th) term is 5^(n) - 1 is it a G.P. ? Wh...

    Text Solution

    |

  11. Find the n^(th) term of the G.P. (3)/(2), (3)/(4), (3)/(8),…. also fi...

    Text Solution

    |

  12. Which term of the G.P. 0.004, 0.02, 0.1,… is 12.5 ?

    Text Solution

    |

  13. If 5th nd 8th of a G.P. be 48 and 384 respectively. Findteh G.P. if te...

    Text Solution

    |

  14. If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b, determ...

    Text Solution

    |

  15. In any G.P. , prove that a(n-p) xxa(n+p) = (a(n))^(2) .

    Text Solution

    |

  16. If a be the first term, l the nth and p the product of first n terms ...

    Text Solution

    |

  17. Find the three numbers in G.P. whose sum is 93 and whose product is 33...

    Text Solution

    |

  18. Find the three numbers in G.P. whose sum is 38 and whose product is 17...

    Text Solution

    |

  19. Find three numbers in G.P. whose sum is 13 and the sum of whose square...

    Text Solution

    |

  20. A number consists of three digits in G.P. The sum of unit's digit and ...

    Text Solution

    |