Home
Class 11
MATHS
The angle between the pair of lines wh...

The angle between the pair of lines whose equation is `4x^2+10 x y+m y^2+5x+10 y=0` is(a) `tan^(-1)(3/8)`(b) `tan^(-1)(3/4)`(c) `tan^(-1){2(sqrt(25-4m))/(m+4)},m in R`(d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

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

The angle between the pair of straight lines 2x^2+5xy+2y^2+3x+3y+1=0 is (A) cos^(-1)(4/5) (A) tan^(-1)(4/5) (A) pi/2 (D) 0

The angle between the tangents to the curves y=x^2a n dx=y^2a t(1,1) is cos^(-1)(4/5) (b) sin^(-1)(3/5) tan^(-1)(3/4) (d) tan^(-1)(1/3)

The angle between the normals of ellipse 4x^2 + y^2 = 5 , at the intersection of 2x+y=3 and the ellipse is (A) tan^(-1) (3/5) (B) tan^(-1) (3/4) (C) tan^(-1) (4/3) (D) tan^(-1) (4/5)

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of m .

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of mdot

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

If x=sin(2tan^(-1)3)and y=sin((1)/(2)tan^(-1)(4/3)) , then

The angle between the curves y^2=x and x^2=y at (1,\ 1) is tan^(-1)4/3 (b) tan^(-1)3/4 (c) 90 (d) 45

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The equation of a line which is parallel to the line common to the pai...

    Text Solution

    |

  2. If the sum of the slopes of the lines given by x^2-2c x y-7y^2=0 is fo...

    Text Solution

    |

  3. Area of the triangle formed by the line x+y=3 and angle bisectors o...

    Text Solution

    |

  4. The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a)a pair of strai...

    Text Solution

    |

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

    Text Solution

    |

  6. If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exact...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. A point moves so that the distance between the foot of perpendiculars ...

    Text Solution

    |

  10. The angle between the pair of lines whose equation is 4x^2+10 x y+m ...

    Text Solution

    |

  11. Find the point of intersection of the pair of straight lines represent...

    Text Solution

    |

  12. Find the angle between the lines represented by x^2+2x ysectheta+y^2=0...

    Text Solution

    |

  13. If the pair of lines sqrt(3)x^2-4x y+sqrt(3)y^2=0 is rotated about the...

    Text Solution

    |

  14. If the equation 2x^2+k x y+2y^2=0 represents a pair of real and distin...

    Text Solution

    |

  15. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

    Text Solution

    |

  16. If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle...

    Text Solution

    |

  17. Prove that the equation 2x^(2)+5xy+3y^(2)+6x+7y+4=0 respresents a pai...

    Text Solution

    |

  18. A line L passing through the point (2, 1) intersects the curve 4x^2+y^...

    Text Solution

    |

  19. Show that straigh lines (A^(2)-3B^(2))x^(2)+8ABxy+(B^(2)-3A^(2))y^(2)=...

    Text Solution

    |

  20. If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bise...

    Text Solution

    |