1. Class 11
2. Important Question for exams Class 11

Transcript

Misc 16 If a(1/(๐ ) " + " 1/๐), b(1/๐ " + " 1/๐), c(1/๐ " + " 1/๐) are in AP., prove that a, b, c are in AP Given that a(1/(๐ ) " + " 1/๐), b(1/๐ " + " 1/๐), c(1/๐ " + " 1/๐) are in AP. If a(1/(๐ ) " + " 1/๐), b(1/๐ " + " 1/๐), c(1/๐ " + " 1/๐) are in AP Adding 1 to each term a(1/(๐ ) " + " 1/๐) + 1, b(1/๐ " + " 1/๐) + 1, c(1/๐ " + " 1/๐) + 1 are in AP a(1/(๐ ) " + " 1/๐) + ๐/๐ , b(1/๐ " + " 1/๐) + ๐/๐ , c(1/๐ " + " 1/๐) + ๐/๐ are in AP a (1/(๐ ) " + " 1/๐ " + " 1/๐) , b(1/๐ " + " 1/๐ " + " 1/(๐ )) , c(1/๐ " + " 1/(๐ ) " + " 1/๐) are in AP Divide each term by (1/๐ " + " 1/(๐ ) " + " 1/๐) ๐(1/(๐ ) " + " 1/๐ " + " 1/๐)/(1/๐ " + " 1/(๐ ) " + " 1/๐), ๐(1/๐ " + " 1/๐ " + " 1/(๐ ))/(1/๐ " + " 1/(๐ ) " + " 1/๐), ๐(1/๐ " + " 1/(๐ ) " + " 1/๐)/(1/๐ " + " 1/(๐ ) " + " 1/๐) are in AP a, b, c are AP Hence, a, b, c, are in AP Hence proved

Class 11
Important Question for exams Class 11