Find acute and obtuse angle between comp...

Find acute and obtuse angle between companent lines whose combined equation is `2x^(2)+5xy+3y^(2)+6x+7y+4=0`.

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For the given equation of pair of straight lines , we have
`a=2,b=3,h=5//2`
Thus , acute angle between lines is given by
`theta="tan"^(-1)(2sqrt(h^(2)-ab))/(|a+b|)=(2sqrt(25/(4)-6))/(2+3)="tan"^(-1)(1)/(5)`
Obtuse angle between lines `=(pi-"tan"^(-1)(1)/(5))`

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Acute angle between the lines x+sqrt(3)y+7=0 andsqrt(3)x-y+8=0 is -

`45^(@)`

`90^(@)`

`30^(@)`

`60^(@)`

The angle between the lines -6x=y=4z and 2x=3y=-z is -

`(pi)/(3)`

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`"cos"^(-1)(5)/(13)`

none of these

Find acute and obtuse angle between companent lines whose combined equation is `2x^(2)+5xy+3y^(2)+6x+7y+4=0`.

Text Solution

Topper's Solved these Questions

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Acute angle between the lines x+sqrt(3)y+7=0 andsqrt(3)x-y+8=0 is -

The angle between the lines -6x=y=4z and 2x=3y=-z is -

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