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Ask experts Expert Question: Find the number of straight lines parallel to 2x+6y+7=0 and having intercept of length 10 between th
Reply Forum Index -> Analytical Geometry originally posted here on IIT-JEE / AIEEE community   
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Find the number of straight lines parallel to 2x+6y+7=0 and having intercept of length 10 between the co-ordinate axes
    
~~~iShAli~~~ (54)

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let the family of lines be 2x+6y=K

this can be written as x/(K/2) +y/(K/6) =1....(intercept form)

which gives the x & y intercept as K/2 & K/6 respectively....

as it is given that the intercept b/w the axes is 10 we can write

K2/4 + K2/36 = 100

it is a quadratic in K so we will get 2 lines.

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Vikram Saxena (2779)

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 hello dear

euqtaion can be given by::

x/a  + y/b = 1 

a+b = 10       [2]

-b/a = -1/3

b/a = 1/3

a = 3b                     [1]

b = 5/2

a = 15/2

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