Home
Class 10
MATHS
The pth, qth and rth terms of an A.P. ar...

The pth, qth and rth terms of an A.P. are a, b and c respectively. Show that a(q – r) + b(r-p) + c(p – q) = 0

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS BASIC

    CBSE MODEL PAPER|Exercise PART A (SECTION -II)|20 Videos
  • Additional Practice Questions

    CBSE MODEL PAPER|Exercise Question|44 Videos
  • SAMPLE PAPER (MATHEMATICS STANDARD)

    CBSE MODEL PAPER|Exercise PART - A|15 Videos

Similar Questions

Explore conceptually related problems

If the pth, qth and rth terms of a G.P. are a,b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

If pth,qth and rth terms of an A.P.are a,b,c respectively,then show that (i) a(q-r) +b(r- p) +c(p-q)=0

If pth, qth and rth terms of an A.P. are a,b,c, respectively, then show that (i) a(q-r)+b(r-p)+c(p-q)=0 (ii) (a-b)r+(b-c)p+(c-a)q=0

The p^(th),q^(th) and terms of an A.P.are a,b,c,respectively.Show that quad (q-r)a+(r-p)b+(p-q)c=0

If the pth, qth and rt terms of an A.P. be x,y,z respectively show that: x(q-r)+y(r-p)+z(p-q)=0

If the pth, qth and rth terms of a G.P.are a,b,c respectively,prove that: a^((q-r))C()b^((r-p))dot c^((p-q))=1

CBSE MODEL PAPER-MATHEMATICS BASIC-PART B
  1. Find a relation between x and y such that the point (x ,y) is equidist...

    Text Solution

    |

  2. In the fig. if LM || CB and LN || CD, prove that (AM)/(AB) = (AN)/(AD...

    Text Solution

    |

  3. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that A ...

    Text Solution

    |

  4. Draw a line segment of length 7.8 cm and divide it in the ratio 5:8. M...

    Text Solution

    |

  5. Given 15 cot A =8, find sin A and sec A.

    Text Solution

    |

  6. Find tan P – cot R

    Text Solution

    |

  7. How many terms of the AP: 9, 17, 25, . . . must be taken to give a sum...

    Text Solution

    |

  8. Prove that sqrt3 is an irrational number

    Text Solution

    |

  9. Two tangents PA and PB are drawn to a circle with centre O from an ext...

    Text Solution

    |

  10. Meena went to a bank to withdraw Rs.2,000. She asked the cashier to gi...

    Text Solution

    |

  11. A box contains 90 discs which are numbered from 1 to 90. If one disc ...

    Text Solution

    |

  12. One card is drawn from a well shuffled deck of 52 cards. Find the prob...

    Text Solution

    |

  13. Metallic spheres of radii 6cm, 8cm and 10cm respectively are melted to...

    Text Solution

    |

  14. Prove that (sinA -cos A+1)/(sin A + cos A - 1) = (1)/(sec A - tan A)

    Text Solution

    |

  15. A motor boat whose speed in still water is 18 km/h, takes 1 hour more ...

    Text Solution

    |

  16. Find two consecutive odd positive integers, sum of whose squares is 29...

    Text Solution

    |

  17. The angles of depression of the top and bottom of a 8m tall building f...

    Text Solution

    |

  18. A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...

    Text Solution

    |

  19. The pth, qth and rth terms of an A.P. are a, b and c respectively. Sho...

    Text Solution

    |

  20. A survey regarding the heights in (cm) of 51 girls of class X of a sch...

    Text Solution

    |