Home
Class 12
MATHS
If a, b, c be respectively the sums of p...

If a, b, c be respectively the sums of p, q, r terms of an A.P., show that,
`(a)/(p)(q-r) + (b)/(q)(r-p) +(c )/(r )(p-q) = 0`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Example|7 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 A (Multiple Choice Questions)|4 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

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

If a, b, c are respectively the p-th, q-th, r-th terms of an A.P. then the value of |(a,p,1),(b,q,1),(c,r,1)| is -

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

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.

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 and qth terms of an A.P. be a and b respectively, show that the sum of first (p+q) terms of the A.P. is (p+q)/(2)(a+b+(a-b)/(p-q)) .

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))

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 an A.P. be P, Q and R respectively then show that, p(Q-R) + q(R-P) + r(P-Q) = 0 .

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.