Question

find all trigonometric ratio if p=3 and h=6​

Answer 1

Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x  

1

​

,y  

1

​

) and (x  

2

​

,y  

2

​

) in the ratio m:n, then  

(x,y)=(  

m+n

mx  

2

​

+nx  

1

​

 

​

,  

m+n

my  

2

​

+ny  

1

​

 

​

)

Letp(3,−6),Q(5,3)isdividedbyy−axisin(λ:1)internally

Then,fromsectionformulapointofdivisionisc(x,y)

x=  

(λ+1)

(5λ+3×1)

​

→(i)

y=  

(λ+1)

(3×λ−6×1)

​

→(ii)

bysolvingequation(i)

⇒  

λ+1

5λ+3

​

=0[Qonxaxisdivisionpointiszero]

⇒5λ+3=0

⇒λ=  

5

−3

​

 

∴y−axisdividesthelinejoiningthepointsinλ:1ratio

So,therequiredratiois  

5

−3

​

:1i.e,(3:5)Ans