If a,b,c are in HP then show that a/b+c,b/c+a,c/a+b in HP
Mohammad Zubair , 7 Years ago
Grade 11
Magical Mathematics[Interesting Approach]> If a,b,c are in HP then show that a/b+c,b...
1 AnswersArun
Last Activity: 7 Years ago
we can use reverse process here i.e.
let us assume the part which should be proved is right now we will prove the given part.
hence
(b+c)/a,(a+c)/b,(a+b)/c will be in a.p.
so (b+c)/a+1,(a+c)/b+1,(a+b)/c+1 also in a.p
=(a+b+c)/a,(a+b+c)/b,(a+b+c)/c
so1/a,1/b,1/c will be in ap
so a,b,c will be in h.p
Provide a better Answer & Earn Cool Goodies
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Other Related Questions on magical mathematics[interesting approach]
Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R
Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R
magical mathematics[interesting approach]
1 Answer Available
Last Activity: 2 Years ago
9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?
9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?
magical mathematics[interesting approach]
1 Answer Available
Last Activity: 2 Years ago
In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ?
In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ?
magical mathematics[interesting approach]
0 Answer Available
Last Activity: 3 Years ago
for any two sets A and B (A-B)U(B-A)U (A intersection B)
for any two sets A and B (A-B)U(B-A)U (A intersection B)
magical mathematics[interesting approach]
0 Answer Available
Last Activity: 3 Years ago
If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in 30:70
If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in 30:70
magical mathematics[interesting approach]
0 Answer Available
Last Activity: 3 Years ago