Home
Class 12
MATHS
The area of a triangle is 5 and two of i...

The area of a triangle is 5 and two of its vertices are A(2,1),B(3,-2). The third vertex which lies on line `y=x+3` is

A

`((7)/(2),(13)/(2))`

B

`((5)/(2),(5)/(2))`

C

`((3)/(2),(3)/(2))`

D

(0,0)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RECTANGULAR COORDINATES, STRAIGHT LINES, FAMILY OF LINES

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOORSTER FOR CRACKING EXAM |30 Videos
  • RATIONAL EXPRESSIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|22 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION BIHAR|Exercise Exam Booster For Cracking Exam|25 Videos

Similar Questions

Explore conceptually related problems

The area of a triangle is 5. Two of its vertices are A(2,1) and B(3,-2). The third vertex C is on y=x+3. Find C.

The area of a triangle is 5 units. Two of its certices are (2,1)and (3,-2). The vhird vertex lies on y = x + 3. Find the co-ordinates of the third vertex of the triangle.

The area of a triangle is 5. Two of its vertices are (2,1) and (3,-2). The third vertex lies on y=x+3. Find the third vertex.

The area of a triangle is 5. Two of its vertices are (2,1) and (3,-2). The third vertex lies on y=x+3. Find the third vertex.

The area of a triangle is 5. Two of its vertices are (2, 1) and (3, - 2). The third vertex is (x, y) where y = x + 3. Then the co-ordinate of the third vertex is

The area of a triangle is 5 sq. units. Two. Of its vertices are (2,1) and (3,-2). If the third vertex is ((7)/(2),y), find the value of y.

The centroid of a triangle is (2,3) and two of its vertices are (5,6) and (-1,4) .The third vertex of the triangle is

The centroid of a triangle is (2,3) and two of its vertices are (5,6) and (-1,4) then the third vertex of the triangle is

ARIHANT PUBLICATION BIHAR-RECTANGULAR COORDINATES, STRAIGHT LINES, FAMILY OF LINES-EXAM BOORSTER FOR CRACKING EXAM
  1. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

    Text Solution

    |

  2. The vertices of a DeltaABC are (lamda,2-,2lamda),(-lamda+1,2lamda) and...

    Text Solution

    |

  3. The area of a triangle is 5 and two of its vertices are A(2,1),B(3,-2)...

    Text Solution

    |

  4. If the co-ordinates of points A,B,C,D are (6,3),(-3,5),(4,-2) and (x,3...

    Text Solution

    |

  5. The points (-a,-b),(0,0),(a,b) and (a^(2),ab) are

    Text Solution

    |

  6. If the points (2k, k), (k, 2k) and (k, k) with kgt0 enclose in a trian...

    Text Solution

    |

  7. The distance between the points (acosalpha,asinalpha) and (acosbeta,as...

    Text Solution

    |

  8. The points (x,2x),(2y,y) and (3,3) are collinear

    Text Solution

    |

  9. Line L is perpendicular to the lines 5x-y=1. The area of triangle form...

    Text Solution

    |

  10. If m(1) and m(2) are the roots of an equation x^(2)+(sqrt3+2)x+(sqrt3-...

    Text Solution

    |

  11. The equation of the base of an equilateral triangle is x+y=2 and the v...

    Text Solution

    |

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

    Text Solution

    |

  13. A, B and C are the points (a, p), (b,q) and (c,r) respectively such th...

    Text Solution

    |

  14. The equations of perpendicular bisectors of the sides AB and AC of a D...

    Text Solution

    |

  15. A point P(h, k) lies on the straight line x + y +1 = 0 and is at a dis...

    Text Solution

    |

  16. The equations of the straight lines through (3, 2) which make acute an...

    Text Solution

    |

  17. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  18. The equation of the straight line which makes angle of 15^(@) with the...

    Text Solution

    |

  19. The equation of straight line passing through the point of intersectio...

    Text Solution

    |

  20. The diagonals of a parallelogram ABCD are along are the lines x+3y=4 a...

    Text Solution

    |