Home
Class 11
MATHS
If pth, qth and rth terms of on AP are a...

If pth, qth and rth terms of on AP are a. b and c, then show that a(q - r) + b(r - p) + c(p - q) = 0.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 11

    UNITED BOOK HOUSE|Exercise EXERCISE|46 Videos

  • MODEL QUESTION PAPERS-SET 13

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

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

If the pth ,qth and rth terms of a G.P are a,b and c respectively show that (q-r)loga+(r-p)logb+(p-q)logc=0

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

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

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

If the pth , qth and rth terms of an A.P. be P, Q and R respectively then show that, p(Q-R) + q(R-P) + r(P-Q) = 0 .

If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, r are in

If p^th , q^th and r^th terms of a G.P. be a, b, c(a,b,c>0) , prove that (q-r) log a +(r-p) logb +(p-q) logic=0.

If p^(th), q^(th), r^(th) and s^(th) terms of an A.P. are in G.P, then show that (p – q), (q – r), (r – s) are also in G.P.

If the P^(th) and q^(th) terms of an A.Pare a and b respectively,then show that the sum of first (p+q) terms of thath A.P is 1/2(p+q) (a+b+(a-b)/(p-q))

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 12-EXERCISE
  1. If arg ((z-1)/(z+1))=pi/4,, then show that in complex plane, the locus...

    Text Solution

    |

  2. Find the term independent of x of the expansion of (1+x)^3(x-1/x)^6

    Text Solution

    |

  3. If pth, qth and rth terms of on AP are a. b and c, then show that a(q...

    Text Solution

    |

  4. A straight line form a right angled triangle with the axes. If the len...

    Text Solution

    |

  5. If the co-ordinate of vertices of a triangle are (10, 4), (-4, 9) and ...

    Text Solution

    |

  6. Find the co-ordinate of a point on the circle x^2 +y^2 - 4x + 2y - 20...

    Text Solution

    |

  7. The co-ordinate of the vertices of a triangle are A(0, 2, -3), B(- 2,...

    Text Solution

    |

  8. Differentiate x+1/x(x!=0)at x = 1, with respect to x, with the help of...

    Text Solution

    |

  9. Evaluate : lim(xrarr0)sin(x^2+4x)/(x^3-5x^2+2x)

    Text Solution

    |

  10. ‘If p' and q are rational numbers, then pq is also rational convert t...

    Text Solution

    |

  11. ‘Square of a whole number is positive or negative’-find the validity o...

    Text Solution

    |

  12. If two numbers a and b are-chosen at random from the 1st 30 natural nu...

    Text Solution

    |

  13. Find A.M. and SD of the following distribution table :

    Text Solution

    |

  14. Using vector method in a triangle , prove that, (i) a/(sinA)=b/(sinB...

    Text Solution

    |

  15. If alpha,beta positive acute angles and sec(alpha+beta)-sec(alpha-beta...

    Text Solution

    |

  16. Draw the graph and find the common region of the system of following i...

    Text Solution

    |

  17. if z1=1+isqrt3,z2=sqrt3-ishow that (a)arg (z1z2)=arg(z1)+arg(z2)and (b...

    Text Solution

    |

  18. Find the vlaue of 47 C4+sum(r=0)^ 3( 50-^ rC3)

    Text Solution

    |

  19. Find the length of the normal chord of a parabola y^2 = 4x, which make...

    Text Solution

    |

  20. If theta and phi are the eccentric angles of the end points of a chor...

    Text Solution

    |