Home
Class 12
MATHS
The first term and common difference of ...

The first term and common difference of an A.P. are a and d respectively. If mth and nth terms of this A.P. are `1/m and 1/n` respectively, then the value of `(a-d) ` is-

A

`(1)/(mn)`

B

0

C

1

D

`(m+n)/(mn)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If the mth and nth terms of a H.P. are n and m respectively, then its mnth term will be-

The 5th and 13th term of an A.P are 5 and -3 respectively. Find the A.P and the 30th term.

The 5th and 13th terms of an A.P. are 16 and 28 respectively. Find the A.P.

If the common difference of an A.P. is – 3 and the 18th term is – 5, then find its first term.

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

If the m^(th) term and the n^(th) term of an A.P. are respectively (1)/(n)and(1)/(m) , then the (mn)^(th) term of the A.P. is

Show (m+n)th and (m-n)t h terms of an A.P. is equal to twice the mth terms.

The first and last terms of an A.P. are a and l respectively. If S be the sum of the terms then show that the common difference is (l^(2) - a^(2))/(2S - (l+a)) .

20 terms are A.P., if its first and last terms are 5 and 125 respectively, then the sum of its first 20 terms will be -

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 9
  1. Two roots of the quadratic equation x^(2) -(3sqrt2-2i ) x- 6 sqrt2i=0 ...

    Text Solution

    |

  2. Number of 6-digit numbers that can be formed with the digits of the nu...

    Text Solution

    |

  3. The first term and common difference of an A.P. are a and d respective...

    Text Solution

    |

  4. 3rd term from the end in the expension of ((4x)/(5) -(5)/(2x))^(8) is-

    Text Solution

    |

  5. Which of the following is the acute angle between the two linez 7x -4y...

    Text Solution

    |

  6. If the axes are transferred to parallel axes through the point (1,-2),...

    Text Solution

    |

  7. The distance between the circumcentre and orthocentre of the triangle ...

    Text Solution

    |

  8. The coordinate of the vertices B and C of the triangle ABC are (5,2,8)...

    Text Solution

    |

  9. If P is a point such that the ratio of the squares of rthe lengths of ...

    Text Solution

    |

  10. If the circles x ^(2) +y^(2) +2gx +2fy =0 and x ^(2) +y^(2) +2g'x+ 2f'...

    Text Solution

    |

  11. The equation of the line bisecting perpendicularly the segmwent joinin...

    Text Solution

    |

  12. The ratio in which the line-segment joining the points (2,-3, -5) and(...

    Text Solution

    |

  13. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

  14. The triangle formed by the lines x+y =0,3x+y=4 and x+3y=4 is-

    Text Solution

    |

  15. The base vertices of an isosceles triangle PQR are Q (1,3) and R(-2, 7...

    Text Solution

    |

  16. The distance of the line 2x -3y =4 from the point (1,1) measured paral...

    Text Solution

    |

  17. The equation of the circle with origin as centre and passing through t...

    Text Solution

    |

  18. A point moves such that the area of the triangle formed by it with the...

    Text Solution

    |

  19. The length of the tangent drawn from any point on the circle x ^(2) +y...

    Text Solution

    |

  20. A point moves on a plane such that its distance from the point (3,0) ...

    Text Solution

    |