p(n,5) p(n,3) equal to 2:1 find n
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let p ( x1 ; y1) = p ( n ; 5 )
n. p ( x2 ; y2) = p( n ; 3 )
m1 : m2 = 2:1
Step-by-step explanation:
by using section ratio formula we get -
x = [ m1x2 + m2x1 / m1 + m2 ] , [ m1y2 + m2y1 / m1 + m2 ]
= [ 2 × n + 1 × n / 2 + 1 ] , [ 2 × 3 + 1 × 5 / 2 + 1 ]
= [ 2n + n / 3 ] , [ 6 + 5 / 3 ]
= [ n (2 + 1)/3 ] , [ 11 / 3 ]
now ,
let , 1 = [ n ( 2 + 1)/3 ]
3 = n × 3 ( by applying cross multiplication method )
3/3 = n
1 = n
therefore , n = 1 ✓
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