Home
Class 12
MATHS
One side of length 3a of a triangle of a...

One side of length 3a of a triangle of area `a^(2)` square units lies on the line x = a. Then one of the lines on which the third vertex lies, is

A

`x= -a^(2)`

B

`x=a^(2)`

C

x = -a

D

`x=(a)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos
  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

Two vertices of a triangle are (1, 3) and (4, 7). The orthocentre lies on the line x + y = 3 . The locus of the third vertex is

If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre lies at the origin, and the centroid on the line x+y=7 , then the third vertex lies at (a) (7,4) (b) (8,14) (c) (12 ,21) (d) none of these

A (-5,0) and B (3,0) are two of the verti- ces of a triangle ABC. Its area is 20 square units. The vertex Clies on the line x - y = 2. The coordinates of C are

If two vertices of a triangle are (1,3) and (4,-1) and the area of triangle is 5 sq. units, then the angle at the third vertex lies in :

If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) form a triangle of area sqrt(6) units, then the point of intersection of third line with the second line will be a. (1,2,3) b. 2,4,6 c. 4/3,6/3,(12)/3 d. none of these

The area of the triangle whose sides are 6,5,sqrt(13) ( in square units ) is

If (4,0) and (1, -1) are two vertices of a triangle of area 4 square units, then its third vertex lies on

Two lines are drawn through (3,4), each of which makes angle of 45^(@) with the line x-y = 2 . Then area of the triangle formed by these lines is

When a point P lies on the axial line of the dipole on the side of the positive charge then the potential is

Let A (2, -3) and B (-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y=1, then the locus of the vertex C is the line

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. The circumcentre of the triangle with vertices (0, 30), (4,0) and (30...

    Text Solution

    |

  2. A line has slope m and y-intercept 4. The distance between the origin...

    Text Solution

    |

  3. One side of length 3a of a triangle of area a^(2) square units lies on...

    Text Solution

    |

  4. The distance of the point (1, 2) from the line x + y + 5 = 0 measured...

    Text Solution

    |

  5. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the li...

    Text Solution

    |

  6. The vertices of a triangle are (3, 0), (3,3) and (0, 3). Then the coo...

    Text Solution

    |

  7. If the distance between (2, 3) and (-5, 2) is equal to the distance be...

    Text Solution

    |

  8. If the three points (0, 1), (0, -1) and (x, 0) are vertices of an equ...

    Text Solution

    |

  9. If the line px - qy = r intersects the co-ordinate axes at (a,0) and ...

    Text Solution

    |

  10. The vertices of a triangle are A(3, 7), B(3, 4) and C(5, 4). The equa...

    Text Solution

    |

  11. The equation of a straight line which passes through the point (a cos...

    Text Solution

    |

  12. The slopes of the lines which make an angle 45^(@) with the line 3x -...

    Text Solution

    |

  13. The equation of one of the lines parallel to 4x – 3y=5 and at a unit ...

    Text Solution

    |

  14. The distance between the points (a cos alpha, a sin alpha) and (a cos...

    Text Solution

    |

  15. The vertices of the rectangle ABCD are A(-1,0), B(2, 0), C(a, b) and ...

    Text Solution

    |

  16. If a straight line passes through the points ((-1)/(2), 1)and (1, 2),...

    Text Solution

    |

  17. The line parallel to the x-axis and passing through the intersection ...

    Text Solution

    |

  18. The line L has intercepts a and b on the coordinate axes. Keeping the...

    Text Solution

    |

  19. The equation of the perpendicular bisector of the line segment joinin...

    Text Solution

    |

  20. The vertices of the triangle PQR are P(0, b), Q(0, 0) and R(a, 0). If...

    Text Solution

    |