class 10th math exercise 5.3 question 3(iv) in hindi
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class 10th math exercise 5.3 question 3(iv) in hindi

 3(iv). एक AP में, a3=15 और S10 =125 दिया गया है। d और a10 ज्ञात कीजिए। 

हल :- दिया गया है a3=15

मतलब, a+2d =15  ........(i) 

तथा S10 =125

(10/2)[2a+(10-1)d]=125 

 5[2a+9d]=125

[2a+9d]=(125/5)

2a+9d=25 ...........(ii)

अब समीकरण (i) तथा (ii) से,

a+2d =15  ........(i) ×2

 2a+9d=25 ...........(ii)×1  

2a+4d =30 ........(iii)

 2a+9d=25 ........(iv) 

अब समीकरण (iii) में से (iv) को घटाने पर,हम पाते हैं कि

 2a+4d-(2a+9d) =30-25 

⇒2a+4d-2a-9d =5

 ⇒4d-9d=5 

⇒-5d=5 

⇒d=5/(-5)

  या d =-1

फिर समीकरण (i) में d का मान रखने पर,हम पाते है कि 

a+2×(-1) =15 

a -2 =15 

a=15+2 

a=17 

अतः  a10=a+9d 

=17+9(-1)

=17-9 

=8  

Class math exercise 5.3 Q.3(ii) in hindi⇒click here 

Class math exercise 5.3 Q.3(iii) in hindi⇒click here

Class math exercise 5.3 Q.3(v) in hindi⇒click here 

Class math exercise 5.3 Q.3(vi) in hindi⇒click here  

Class math exercise 5.3 Q.3(vii) in hindi⇒click here 

Class math exercise 5.3 Q.3(viii) in hindi⇒click here 

 class 10th math exercise 5.3 question 3(ix) in hindi- click here 

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