Home
Class 11
MATHS
Through a point A(2,0) on the x-axis, a ...

Through a point `A`(2,0) on the x-axis, a straight line is drawn parallel to the y-axis so as to meet the pair of straight lines `a x^2+2h x y+b y^2=0` at `B` and `Cdot` If `A B=B C ,` then (a) `h^2=4a b` (b) `8h^2=9a b`(c) `9h^2=8a b` (d) `4h^2=a b`

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

Through a point A on the x-axis, a straight line is drawn parallel to the y-axis so as to meet the pair of straight lines a x^2+2h x y+b y^2=0 at B and Cdot If A B=B C , then (a) h^2=4a b (b) 8h^2=9a b (c) 9h^2=8a b (d) 4h^2=a b

Through a point A on the x-axis, a straight line is drawn parallel to the y-axis so as to meet the pair of straight lines a x^2+2h x y+b y^2=0 at B and Cdot If A B=B C , then h^2=4a b (b) 8h^2=9a b 9h^2=8a b (d) 4h^2=a b

X Y is drawn parallel to the base B C of Delta A B C cutting A B at X and A C at Y . If A B=4\ B X and Y C=2c m , then A Y= (a) 2c m (b) 4c m (c) 6c m (d) 8c m

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines a x^2+2h x y+b y^2=0 is (a-b)(x^2-y^2)+4h x y=0.

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines a x^2+2h x y+b y^2=0 is (a-b)(x^2-y^2)+4h x y=0.

If the slope of one of the lines represented by a x^2+2h x y+b y^2=0 is the square of the other, then (a+b)/h+(8h^2)/(a b)= 4 (b) 6 (c) 8 (d) none of these

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2.

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2

If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about the origin through 90^0 , then find the equations in the new position.

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The product of the perpendiculars from origin to the pair of lines a x...

    Text Solution

    |

  2. Find the angle between the straight lines joining the origin to the ...

    Text Solution

    |

  3. Through a point A(2,0) on the x-axis, a straight line is drawn paralle...

    Text Solution

    |

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

    Text Solution

    |

  5. Does equation x^2+2y^2-2sqrt(3)x-4y+5=0 satisfies the condition a b c+...

    Text Solution

    |

  6. Find the value of lambda if 2x^2+7x y+3y^2+8x+14 y+lambda=0 represents...

    Text Solution

    |

  7. Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+...

    Text Solution

    |

  8. If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |