Home
Class 11
MATHS
(a) If a^(2)+2bc,b^(2)+2ac,c^(2)+2ab are...


(a) If `a^(2)+2bc,b^(2)+2ac,c^(2)+2ab` are in A.P ., show that `(1)/(b-c),(1)/(c-a),(1)/(a-b)` are in A.P .
(b) Prove that the sum to n terms of the series `11+103+1005+…. = (10)/(9)(10^(n)-1)+n^(2)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 17

    ICSE|Exercise SECTION -B|10 Videos

  • MODEL TEST PAPER - 17

    ICSE|Exercise SECTION -C|10 Videos

  • MODEL TEST PAPER - 10

    ICSE|Exercise SECTION - C |5 Videos

  • MODEL TEST PAPER - 20

    ICSE|Exercise SECTION - C|10 Videos

Similar Questions

Explore conceptually related problems

Prove that the sum to n terms of the series 11+103+1005+ i s(10/9)(10^n-1)+n^2dot

Prove that the sum to n terms of the series 11+103+1005+ i s(10//9)(10^n-1)+n^2dot

Prove that the sum of n terms of the series: 11+103+1005+ i s(10)/9(10^n-1)+n^2dot

if (a^(2) +2bc) ,( b^(2) +2ac) ,(c^(2) +2ab) are in AP, show that 1 / (( b-c)) ,1/((c -a)) , 1/ ((a-b)) are in AP.

"If " a^(2), b^(2), c^(2)" are in A.P., prove that "(1)/(b+c),(1)/(c+a),(1)/(a+b) " are also in A.P."

If a^(2), b^(2),c^(2) are in A.P prove that (a)/(b+c), (b)/(c+a) ,(c)/(a+b) are in A.P.

If a^2,b^2,c^2 are in A.P. prove that 1/(b+c),1/(c+a),1/(a+b) are in A.P.

If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a),1/(a-b) are also in A.P.

If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a),1/(a-b) are also in A.P.

If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a),1/(a-b) are also in A.P.