Home
Class 10
MATHS
If a,b,c,d are in a geometric sequences,...

If a,b,c,d are in a geometric sequences, then show that
(a-b+c) (b+c+d) = ab + bc + cd.

Promotional Banner

Topper's Solved these Questions

  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED (II.ANSWER THE FOLLOWING)|20 Videos

  • MENSURATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (iii)|8 Videos

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)|26 Videos

Similar Questions

Explore conceptually related problems

If a,b,c,d are in geometric sequence then prove that (b-c)^(2) +(c-a)^(2) -(d-b)^(2)=(a-d)^2

If a, b, c are in HP show that ab + bc = 2ac.

If a, b, c, d and p are different real numbers such that (a^2 + b^2 + c^2)p^2 – 2(ab + bc + cd) p + (b^2 + c^2 + d^2) le 0 , then show that a, b, c and d are in GP.

Show that if A ⊂ B , then C – B ⊂ C – A .

If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (ab+bc+cd)^2

If a, b, c, d are distinct integers in A. P. Such that d=a^2+b^2+c^2 , then a + b + c + d is

If a ,b ,c ,d in R^+ and a ,b ,c,d are in H.P., then (a) a+d > b+c (b) a+b > c+d (c) a+c > b+d (d)none of these

If a ,b ,ca n dd are in H.P., then prove that (b+c+d)//a ,(c+d+a)//b ,(d+a+b)//c and (a+b+c)//d , are in A.P.

If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p^2-2(a b+b c+c d)p+(b^2+c^2+d^2)lt=0, then prove that a ,b ,c , d are in G.P.

a ,b ,c x in R^+ such that a ,b ,a n dc are in A.P. and b ,ca n dd are in H.P., then a b=c d b. a c=b d c. b c=a d d. none of these