Home
Class 11
MATHS
The area of triangle A B C is 20c m^2dot...

The area of triangle `A B C` is `20c m^2dot` The coordinates of vertex `A` are `-5,0)` and those of `B` are `(3,0)dot` The vertex `C` lies on the line `x-y=2` . The coordinates of `C` are
(a)`(5,3)` (b) `(-3,-5)` `(-5,-7)` (d) `(7,5)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The area of a triangle is 3 square units. Two of its vertices are A (3, 1), B (1, -3) and the third vertex of the triangle lies on x-axis. Find the coordinates of the third vertex C .

The area of a triangle is 3/2 square units. Two of its vertices are the points A (2, -3) and B(3,-2) , the third vertex of the triangle lies on the line 3x - y -2 = 0 , then third vertex C is

The area of a triangle is 3/2 square units. Two of its vertices are the points A (2, -3) and B(3,-2) , the centroid of the triangle lies on the line 3x - y -2 = 0 , then third vertex C is

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (a) (8/5,(16)/5) (b) (7/(15),(14)/(15)) (c) (6/5,(12)/5) (d) (4/(15),8/(15))

ABC is an isosceles triangle. If the coordinates of the base are B(1, 3) and C(-2, 7). The coordinates of vertex A can be

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 Cdot

The centroid of a triangle ABC is at the point (1,1,1). If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively, find the coordinates of the point C.

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (8/5,(16)/5) (b) (7/(15),(14)/(15)) (6/5,(12)/5) (d) (4/(15),8/(15))

The vertex C of a triangle ABC moves on the line L-=3x+4y+5=0 . The co-ordinates of the points A and B are (2,7) and (5,8) The locus of centroid of DeltaABC is a line parallel to:

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let A(0,1),B(1,1) ,C(1,-1) ,D(-1,0) be four points. If P is any other ...

    Text Solution

    |

  2. If (acostheta1,asintheta1),(acostheta2,asintheta2) and (acostheta3,as...

    Text Solution

    |

  3. The area of triangle A B C is 20c m^2dot The coordinates of vertex A a...

    Text Solution

    |

  4. If a ,b ,c are the p t h ,q t h ,r t h terms, respectively, of an H P ...

    Text Solution

    |

  5. Let A B C D be a rectangle and P be any point in its plane. Show that ...

    Text Solution

    |

  6. A rod of length k slides in a vertical plane, its ends touching the ...

    Text Solution

    |

  7. Prove that the circumcenter, orthocentre, incenter, and centroid of th...

    Text Solution

    |

  8. If x1,x2,x3 as well as y1,y2,y3 are in G P with the same common ratio,...

    Text Solution

    |

  9. Statement 1 :If the lines 2x+3y+19=0 and 9x+6y-17=0 cut the x-axis at ...

    Text Solution

    |

  10. If the points (x1, y1),(x2,y2), and (x3, y3) are collinear show that...

    Text Solution

    |

  11. Find dy/dx, if y = (1 - tan^2x)/(1 + tan^2x) .

    Text Solution

    |

  12. The coordinates of A ,B ,C are (6,3),(-3,5),(4,-2) , respectively, and...

    Text Solution

    |

  13. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

    Text Solution

    |

  14. For points P-=(x1, y1) and Q-=(x2, y2) of the coordinate plane, a new ...

    Text Solution

    |

  15. Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5...

    Text Solution

    |

  16. If (x , y) and (x ,y) are the coordinates of the same point referred t...

    Text Solution

    |

  17. O X and O Y are two coordinate axes. On O Y a fixed point P(0,c) is t...

    Text Solution

    |

  18. Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of...

    Text Solution

    |

  19. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

    Text Solution

    |

  20. If (-6,-4),(3,5),(-2,1) are the vertices of a parallelogram, then the...

    Text Solution

    |