Home
Class 12
MATHS
Find the area of the triangle with ve...

Find the area of the triangle with vertices at the points: (i) (3, 8), (-4, 2) and (5, -1)    (ii) (2, 7),  (1, 1) and (10, 8)

Text Solution

Verified by Experts

We have to find area of triangle
(i) `(3, 8), (-4, 2) and (5, -1)  `
As we know if `A(x_1, y_1),B(x_2, y_2)a n dC(x_3,y_3)` are vertices of a triangle
Then the area of triangle are given as:
`Delta=1/2[(x_1,y_1, 1),(x_2,y_2, 1),(x_3,y_3 ,1)]`
`Delta=1/2[(3,8, 1),(-4,2, 1),(5,-1 ,1)]`
...
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos
  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle with vertices at the points: (i) (-1, -8), (-2, -3) and (3, 2) (ii) (0, 0), (6, 0) and (4, 3)

Find the area of the triangle whose vertices are: (i) A(3, 8), B(-4, 2) and C(5, -1) (ii) A(-2, 4), B(2, -6) and C(5, 4) (iii) A(-8, -2), B(-4, -6) and C(-1, 5) (iv) P(0, 0), Q(6, 0) and R(4, 3) (v) P(1, 1), Q(2, 7) and R(10, 8)

Find the area of the triangle whose vertices are : (3,-4), (7, 5), (-1, 10)

Find the area of the triangle with vertices : (3,8),(-4,2),(5,1) .

Find the area of the triangle whose vertices are (3," "8) ,(-4," "2) and (5," "1) .

Find the area of the triangle with vertices (3,8),(-4,2) and (5,1) .

Find the area of the triangle whose vertices are (3,8), (-4,2) and (5,1)

Find the area of the triangle whose vertices are (3,8), (-4,2) and (5,1)

Find the area of the triangle whose vertices are: (-2,-3),(3,2),(-1,-8)

RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. If A(x1, y1),B(x2, y2)a n dC(x3,y3) are vertices of an equilateral tri...

    Text Solution

    |

  2. A triangle has its three sides equal to a , ba n dc . If the coordinat...

    Text Solution

    |

  3. Find the area of the triangle with vertices at the points: (i) (3, ...

    Text Solution

    |

  4. Find the area of the triangle with vertices at the points: (i) (-1,...

    Text Solution

    |

  5. Using determinants show that the following points are collinear: (i...

    Text Solution

    |

  6. Using determinants show that the following points are collinear: (i...

    Text Solution

    |

  7. If the points (a ,\ 0),\ (0,\ b)a n d\ (1,\ 1) are collinear, prove th...

    Text Solution

    |

  8. Using determinants prove that the points (a ,\ b),\ (a^(prime),\ b^...

    Text Solution

    |

  9. Find the value of lambda so that the points (1, -5), (-4, 5) and (l...

    Text Solution

    |

  10. Find the value of x if the area of is 35 square cms with vertices ...

    Text Solution

    |

  11. Using determinants, find the area of the triangle whose vertices ar...

    Text Solution

    |

  12. Using determinants, find the area of the triangle with vertices (-3...

    Text Solution

    |

  13. For what value of k are the points (k ,2-2k),(-k+1,2k)a n d(-4-k ,6...

    Text Solution

    |

  14. If the points (x ,\ -2),\ (5,\ 2) and (8,\ 8) are collinear, find x us...

    Text Solution

    |

  15. If the points (3, -2), (x ,\ 2) and (8 ,8) are collinear, find x us...

    Text Solution

    |

  16. Using determinants, find the equation of the line joining the points...

    Text Solution

    |

  17. प्रत्येक में k का मान ज्ञात कीजिए यदि त्रिभुजों का क्षेत्रफल 4 वर्ग इक...

    Text Solution

    |

  18. Solve the following system of equations by Cramers rule 2x-y=17 , 3...

    Text Solution

    |

  19. Solve the following system of equations using Cramers rule. 5x-7y+z=11...

    Text Solution

    |

  20. Solve the system of equations x+2y=3 and 4x+8y=12 by using determin...

    Text Solution

    |