Home
Class 11
MATHS
If the component lines whose combined eq...

If the component lines whose combined equation is `px^(2)-qxy-y^(2)=0` make the angles `alphaand beta ` with x-axis , then find the value of tan `(alpha+beta)`.

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

If the lines px^2-qxy-y^2=0 makes the angles alpha and beta with X-axis , then the value of tan(alpha+beta) is

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

The roots of the equation px^(2)-2(p+1)x+3p=0 are alpha and beta . If alpha-beta=2 , calculate the value of alpha,beta and p.

If alpha and beta are the roots of the equation x^2+sqrt(alpha)x+beta=0 then the values of alpha and beta are -

If alphaand beta the roots of the equation px^2+qx+1=0, find alpha^2beta^2.

Tangents drawn from the point (c, d) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the x-axis. If tan alpha tan beta=1 , then find the value of c^(2)-d^(2) .

The roots of the quadratic equation x^(2)+px+8=0 are alpha and beta . Obtain the values of p, if (i) alpha=beta^(2) (ii) alpha-beta=2 .

If the roots of the equation x^(2)+px+7=0 are denoted by alpha and beta , and alpha^(2)+beta^(2)=22 , find the possible values of p.

If alpha and beta (alpha gt beta) are the roots of x^(2) + kx - 1 =0 , then find the value of tan^(-1) alpha - tan^(-1) beta

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y...

    Text Solution

    |

  2. Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0 u...

    Text Solution

    |

  3. If the component lines whose combined equation is px^(2)-qxy-y^(2)=0 m...

    Text Solution

    |

  4. Find the joint equation of pair of lines which passes through origin a...

    Text Solution

    |

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

    Text Solution

    |

  6. The distance between the two lines represented by the  sides of an equ...

    Text Solution

    |

  7. If the gradient one of the lines x^2+h x y+2y^2=0 is twice that of the...

    Text Solution

    |

  8. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

    Text Solution

    |

  9. Two pairs of straight lines have the equations y^(2)+xy-12x^(2)=0andax...

    Text Solution

    |

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

    Text Solution

    |

  11. If one of the lines given by the equation 2x^(2)+pxy+3y^(2)=0 coincide...

    Text Solution

    |

  12. If x^2+2h x y+y^2=0 represents the equation of the straight lines thro...

    Text Solution

    |

  13. The equation to a pair of opposite sides of a parallelogram are x^2-5x...

    Text Solution

    |

  14. 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...

    Text Solution

    |

  15. The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lin...

    Text Solution

    |

  16. The image of the pair of lines represented by a x^2+2h x y+b y^2=0 by ...

    Text Solution

    |

  17. The combined equation of the lines l1a n dl2 is 2x^2+6x y+y^2=0 and ...

    Text Solution

    |

  18. If the equation a x^2-6x y+y^2=0 represents a pair of lines whose slo...

    Text Solution

    |

  19. The equation of a line which is parallel to the line common to the pai...

    Text Solution

    |

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

    Text Solution

    |