Home
Class 12
MATHS
The combined equation of three sides of ...

The combined equation of three sides of a triangle is `(x^2-y^2)(2x+3y-6)=0`. If `(-2,a)` is an interior point and `(b ,1)` is an exterior point of the triangle, then

A

` a in (2,10/3), b in (-1,1)`

B

` a in (-2,10/3), b in (-1,9/2)`

C

` a in (1,10/3), b in (-3,5)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 3|19 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The three sides of a triangle are given by (x^2 - y^2)(2x+3y-6) = 0 . If the points (-2,a) lies inside and (b,1) lies outside the triangle, then A. 2ltalt(10)/(3) B. -2ltalt(10)/(3) C. -1ltblt(9)/(2) D. -1ltblt1

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

The equation of the sides of a triangle are x+2y+1=0, 2x+y+2=0 and px+qy+1=0 and area of triangle is Delta .

The equation of the perpendicular bisector of the side AB of a triangle ABC is x - y + 5 = 0. If the point A is (1,-2), find the co-ordinates of the point B.

The mid-points of the sides of a triangle are (1, 5, -1),(0,4,-2) and (2, 3, 4). Find its vertices.

If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 and x - y = 0 then the orthocentre of the triangle lies on the line/lines

If the ends of the base of an isosceles triangle are at (2, 0) and (0, 1), and the equation of one side is x = 2 , then the orthocenter of the triangle is

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

Find the equations of the tangent line to the curve: y = 2x^2 + 3y^2 = 5 at the point (1,1)

ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 2
  1. The number of lines that are parallel to 2x + 6y -7= 0 and have an int...

    Text Solution

    |

  2. The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is

    Text Solution

    |

  3. Let the algebraic sum of the perpendicular distance from the points (2...

    Text Solution

    |

  4. If the quadrilateral formed by the lines ax+by+c=0. a'x+b'y+c=0, ax+by...

    Text Solution

    |

  5. Prove that the area of the parallelogram formed by the lines 3x-4y+a=0...

    Text Solution

    |

  6. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

    Text Solution

    |

  7. The co-ordinates of a point on the line y = x where perpendicular di...

    Text Solution

    |

  8. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  9. If the point (1,2) and (34) were to be on the same side of the line 3x...

    Text Solution

    |

  10. The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rh...

    Text Solution

    |

  11. What are the points on X-axis whose perpendicular distance from the ...

    Text Solution

    |

  12. The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-...

    Text Solution

    |

  13. Are the points (3,4) and (2,-6) on the same or opposite sides of the l...

    Text Solution

    |

  14. If the point as (4,7) and (costheta,sintheta) , where 0 <theta <pi , ...

    Text Solution

    |

  15. Find the equations of lines parallel to 3x-4y-5=0 at a unit distance f...

    Text Solution

    |

  16. If the area of the parallelogram formed by the lines 2x - 3y + a = 0 ,...

    Text Solution

    |

  17. A line L is a drawn from P(4,3) to meet the lines L1a n dL2 given by 3...

    Text Solution

    |

  18. The vertices of a triangleOBC are O(0,0) , B(-3,-1), C(-1,-3). Find th...

    Text Solution

    |