The envelope of the family of straight l...

The envelope of the family of straight lines whose sum of intercepts on the axes is 4 is

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The envelope of the family of straight lines y=m^(2)x+(1)/(m^(2))

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Knowledge Check

The differential equation of the family of straight lines whose slope is equal to y-intercept, is

A

`(x+1)(dy)/(dx)-y=0`

B

`(x+1)(dy)/(dx)+y=0`

C

`(dy)/(dx)=(x-1)/(y-1)`

D

`(dy)/(dx)=(x+1)/(y+1)`

The differential equation of the family of straight lines whose slope is equal to y - intercept ,is

A

` (x+1)(dy)/(dx)-y = 0`

B

` (x+1)(dy)/(dx)+y = 0`

C

` (dy)/(Dx)=(x+1)/(y-1)`

D

`(dy)/(Dx)=(x+1)/(y+1)`

The straight line whose sum of the intercepts on the axes is equal to half of the intercepts, passes through the point

A

(1,1)

B

(2,2)

C

(3,3)

D

(4,4)

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Find the equation of the straight line which makes equal intercepts on the axes passes through the point (3,-5) :

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