Home
Class 11
MATHS
If m(1) and m(2) are the roots of the eq...

If `m_(1) and m_(2)` are the roots of the equation `x^(2) + ( sqrt(3) + 2) x + sqrt(3) - 1 =0` then prove that area of the triangle formed by the lines `y=m_(1) x, y=m_(2) x and y=c` is `(c^2)/( 4) ( sqrt(33) + sqrt(11))`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Text based MCQs|25 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise : 10|26 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

If m_1 and m_2 are roots of equation x^2+(sqrt(3)+2)x+sqrt(3)-1=0 the the area of the triangle formed by lines y=m_1x, y = m_2x, y=c is:

Show that the area of the triangle formed by the lines y= m_(1) x + c_(1) , y= m_(2) x + c_(2) and x = 0 is ((c_1 - c_2)^2)/( 2| m_1 - m_2 | ) .

Find the angle between the lines y- sqrt(3) x - 5 = 0 and sqrt(3) y - x+6=0 .

The area of the region bounded by the curve y= 2 sqrt(x) and lines x=0 and x=1 is …Sq. units

Find the area of the region bounded by the curves y= sqrt(4-x^2) ,y= sqrt(3x) and X- Axis in the first quadrant .

Find the area of the parallelogram formed by the lines 2x^2+5xy+3y^2=0 and 2x^2+5xy+3y^2+3x+4y+1=0

Find angle between the lines y - sqrt3x - 5 0 " and " sqrt3 y - x +6 = 0 .

Find angles between the lines sqrt(3) x +y=1 and x+ sqrt(3) y=1 .

P- alpha form of the line x+ sqrt(3) y - 4=0 is…......

KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. If origin is shifted to point (1,-2) then find the new transformed for...

    Text Solution

    |

  2. At which origin will be shifted so, that new coordinate at point (4,5)...

    Text Solution

    |

  3. On which point we shift origin so that new transformed form of the equ...

    Text Solution

    |

  4. Prove that area at triangle will remain same by shifting origin at any...

    Text Solution

    |

  5. By shifting origin at (-2,3) find new transformed form at the equation...

    Text Solution

    |

  6. Find equation of line passes from ( sqrt(3) ,-1) whose perpendicular d...

    Text Solution

    |

  7. Two oppositive verticies of rectangle are (-3,1) and (1,1). Also equat...

    Text Solution

    |

  8. Lines 3x+4y+5=0 and 4x-3y-10=0 intersects at point A. B is the point o...

    Text Solution

    |

  9. Find image of point (-8, 12) with respect to line 4x+7y+ 13=0.

    Text Solution

    |

  10. Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0...

    Text Solution

    |

  11. A(0,-1,-2), B(3,1,4) and C(5,7,1) are vertices of DeltaABD then find t...

    Text Solution

    |

  12. Point (2, 1) has reflection as simple mirror (5, 2). Find equation of ...

    Text Solution

    |

  13. Base of the equilateral triangle is along the line x + y- 2 = 0 and it...

    Text Solution

    |

  14. Find equation of line passess from point (2, 3) and cuts line segment ...

    Text Solution

    |

  15. Find equation of line whose sum and product of intercepts on axis are ...

    Text Solution

    |

  16. Without finding point of intersection obtain the equation of line pass...

    Text Solution

    |

  17. Two adjacent sides of the parallogram are 4x + 5y = 0 and 7x + 2y = 0 ...

    Text Solution

    |

  18. If m(1) and m(2) are the roots of the equation x^(2) + ( sqrt(3) + 2) ...

    Text Solution

    |

  19. Find distance from point (3, 5) to the line 2x + 3y = 14 and the dista...

    Text Solution

    |

  20. If the lines ax + y + 1 = 0, x + by + 1 = 0 and x + y + c = 0 are co...

    Text Solution

    |