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The angle between the pair of lines whos...

The angle between the pair of lines whose equation is `4x^(2)+10xy+my^(2)+5x+10y=0`, is

A

`tan^(-1)(3//8)`

B

`tan^(-1)(3//4)`

C

`tan^(-1){2sqrt(25-4m//)(m+4)},m in R`

D

None of these

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Verified by Experts

The correct Answer is:
2
Being a pair of lines , `abc+2fgh-af^(2)-ch^(2)=0`. This given m=4 . Now , find the angle between the lines.
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CENGAGE-PAIR OF STRAIGHT LINES-Exercise (Single)
  1. The angle between the pair of lines whose equation is 4x^(2)+10xy+my^(...

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  2. The two lines represented by 3ax^(2)+5xt+(a^(2)-2)y^(2)=0 are perpendi...

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  3. The distance between the two lines represented by the sides of an equi...

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  4. The equation x-y=4 and x^2+4xy+y^2=0 represent the sides of

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  5. The straight lines represented by (y-mx)^(2)=a^(2)(1+m^(2))and(y-nx)^(...

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  6. If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have e...

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  7. The condition that one of the straight lines given by the equation a...

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  8. If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated ...

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  9. The equations of a line which is parallel to the line common to the p...

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  10. The equation x^(2)y^(2)-9y^(2)+6x^(2)y+54y=0 represents

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  11. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

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  12. If the equation of the pair of straight lines passing through the poin...

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  13. If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=- bisector of ...

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  14. Through a point A on the x-axis, a straight line is drawn parallel to ...

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  15. The image of the pair of lines represented by ax^(2)+2hxy+by^(2)=0by t...

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  16. The straight lines represented by the equation 135 x^2-136 x y+33 y^2=...

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  17. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 ...

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  18. x+y=7 and a x^2+2h x y+a y^2=0,(a!=0) , are three real distinct lines ...

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  19. Statement 1 : If -h2=a+b , then one line of the pair of lines a x^2...

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  20. The orthocenter of the triangle formed by the lines xy=0 and x+y=1 is

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