Home
Class 11
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

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos
  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Let the base of a triangle lie along the line x = a and be of length a. The area of this triangles is a^(2) , if the vertex lies on the line

Name: Line on which O lies. .

Two sides of a square lie on the lines x+y-1=0 and x+y+2 then its area is:

If one vertex of an equilateral triangle of side 'a' lie at the origin and the other lies on the line x-sqrt3 y = 0 , the co-ordinates of the third vertex are:

If A (2, -3) and B (-2, 1) are two vertices of a triangle and third vertex moves on the line 2x + 3y = 9, then the locus of the centroid of the triangle is :

Write the coordinates of the vertices of a rectanlge whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.

The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is :

Prove that any line segment drawn from the vertex of a trianlge to the base is bisected by the line segment joining the mid points of the other sides of the triangle.

The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find the vertices of triangle.

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The vertices of a family of triangles have integer co-ordinates. If tw...

    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 t...

    Text Solution

    |

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

    Text Solution

    |

  5. Area of the triangle formed by the lines y=2x, y=3x and y=5 is equal t...

    Text Solution

    |

  6. Triangle ABC has vertices (0, 0) (11, 60) and (91, 0). If the line y= ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Area of the equilateral triangle inscribed in circle x^2+y^2 -7x+ 9y+5...

    Text Solution

    |

  10. The equation of one of the diameters of the circle x^2+y^2 - 6x + 2y =...

    Text Solution

    |

  11. If two chords having lengths a^2- 1 and 3 (a + 1), where a is a consta...

    Text Solution

    |

  12. The equation of the parabola having focus (3, 2) and vertex (1, 2), is...

    Text Solution

    |

  13. The sum of the distances of a point (2, -3) from the foci of an ellips...

    Text Solution

    |

  14. The equation of one of the tangents to x^2/3-y^2/2=1 which is parallel...

    Text Solution

    |

  15. If e1 is eccentricity of the ellipse x^2/16+y^2/7=1 and e2 is eccentri...

    Text Solution

    |

  16. A line passes through point (2, 2) and perpendicular to the line 3x + ...

    Text Solution

    |

  17. If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight l...

    Text Solution

    |

  18. Points (3, 3), (h, 0), (0, k) are collinear and a/h+b/k=1/3. Then :

    Text Solution

    |

  19. sqrt 2009/3 (x^2-y^2)=1, then eccentricity of the hyperbola is :

    Text Solution

    |

  20. The value of k for which the line x+y+1=0 touches the parabola y^2 = 4...

    Text Solution

    |