Home
Class 12
MATHS
If a + b = 2h, then the area of the tria...

If `a + b = 2h`, then the area of the triangle formed by the lines `ax^2 + 2hxy + by^2 = 0` and the line `x -y +2 = 0`, in sq. units is

A

`|(a^(2)+b^(2))/(a-b)|`

B

`|(a^(2)+b^(2))/(a+b)|`

C

`|(a-b)/(a+b)|`

D

`|(a-b)/(a+b)|`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MHT-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

  • PLANE

    NIKITA PUBLICATION|Exercise MULTIOLE CHOICE QUESTIONS|154 Videos

Similar Questions

Explore conceptually related problems

The area of the triangle formed by the lines 4x^(2)-9xy-9y^(2)=0 and x=2 is

The area of the triangle formed by the lines 4x^(2)-9xy-9y^(2)=0 and x=2 is

Find the area of the triangle formed by the lines x=0, y=1 and 2x+y=2.

If the area of the triangle formed by the lines 3x^(2)-2xy-8y^(2)=0 and the line 2x+y-k=0 is 5 sq.units then k=

Find the area of triangle formed by the lines : y=0,x=2 and x+2y=3.

If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(2)=0 and the line 2x+3y=a is 7 then a=

Area of the triangle formed by the lines 2x-y=6 and 3x^(2)-4xy+y^(2)=0 is

The area of triangle formed by the lines 2x-y+1=0 , 3x-y+5=0 and 2x-5y+11=0

Area of triangle formed by straight lines x +y = 4, 2x - y =2 and x -2 = 0 is

Find the area of triangle formed by the lines: x+y-6=0,x-3y-2=0 and 5x-3y+2=0

NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. The coordinates of the orthocentre of the triangle formedby the lines ...

    Text Solution

    |

  2. The area of the triangle formed by the lines 3x^(2)-4sqrt(2)xy+y^(2)=0...

    Text Solution

    |

  3. If a + b = 2h, then the area of the triangle formed by the lines ax^2 ...

    Text Solution

    |

  4. The length of each perpendicular side of an isoscele right angled tria...

    Text Solution

    |

  5. Show that the straight lines x^2+4xy+y^2=0 and the line x-y=4 form a...

    Text Solution

    |

  6. Show that straight lines (A^2-3b^2)x^2+8A Bx y(b^2-3A^2)y^2=0 form wit...

    Text Solution

    |

  7. The area of triangle (in sq units) formed by the lines x^2- 4y^2 = 0 a...

    Text Solution

    |

  8. If the area of the triangle formed by the pair of lines 8x^2 - 6xy + y...

    Text Solution

    |

  9. The joint equation of pair of lines which bisects angle between the li...

    Text Solution

    |

  10. The joint equation of bisectors of the angles between the lines given...

    Text Solution

    |

  11. If the lines x^(2)+2hxy-y^(2)=0 bisect the angle between the lines 2x^...

    Text Solution

    |

  12. If 7x^(2)-kxy-7y^(2)=0 represents the joint equation of the bisectors ...

    Text Solution

    |

  13. The pair of lines h(x^(2)-y^(2))+pxy=0 bisects the angle between the p...

    Text Solution

    |

  14. If the two pairs of line x^2 -2mxy -y^2=0 and x^2 - 2nxy -y^2 = 0 are ...

    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. The product of lenghts of the perpendicular from point (2, 3) on the l...

    Text Solution

    |

  17. The product of legths of the perpendicular from point (4, 1) on the li...

    Text Solution

    |

  18. The equation of the bisectors of angle between the lines x^(2)-4xy+y^(...

    Text Solution

    |

  19. DeltaOAB is formed by the lines x^2-4xy +y^2= 0 and the line AB. The e...

    Text Solution

    |

  20. 9.y If two sides of a triangle are represented by x^27xy+6y^2=0 and th...

    Text Solution

    |