Home
Class 11
MATHS
Let the base of a triangle lie along the...

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

A

x = -a, x = 2a

B

x = 0 , x = a

C

x = a/2 , x = -a

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|34 Videos
  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise SECTION - II (ASSERTION - REASON TYPE MCQs|1 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If the base of a triangle and the ratio of the lengths of the other two unequal sides are given, then the vertex lies on

If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 and x - y = 0 then the orthocentre of the triangle lies on the line/lines

Vertices B and C of triangle ABC lie along the line (x+2)/2=(y-1)/1=(z-0)/4 . Find the area of the triangle given that A has coordinate (1,-1,2) and the segment BC has length 5.

The centre of mass of a solid cone along the line form the center of the base to the vertex is at

The triangle ABC, right angled at C, has median AD, BE and CF, AD lies along the line y = x + 3 , BE lies along the line y lies along the line y=2x +4 . If the length of the hypotenuse is 60, fin the area of the triangle ABC (in sq units).

Two vertices of a triangle are (3,-2) and (-2,3) and its orthocentre is (-6,1) . Then the third vertex of this triangle can not lie on the line

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

An equilateral triangle is inscribed in the parabola y^2=4a x , such that one vertex of this triangle coincides with the vertex of the parabola. Then find the side length of this triangle.

An equilateral triangle is inscribed in the parabola y^2=4a x , such that one vertex of this triangle coincides with the vertex of the parabola. Then find the side length of this triangle.

Find the area of the triangle formed by the line x+y=3 and the angle bisectors of the pair of lines x^2-y^2+2y=1

OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. about to only mathematics

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. Let the base of a triangle lie along the line x = a and be of length a...

    Text Solution

    |

  4. The equation of straight line passing through point (1,2) and having i...

    Text Solution

    |

  5. The point (4,1) undergoes the following two successive transformations...

    Text Solution

    |

  6. A line passes through the point (2,2) and is perpendicular to the line...

    Text Solution

    |

  7. The coordinates of a point on the lin y = x where perpendicular dista...

    Text Solution

    |

  8. The point P(1,1) is transiated parallel to 2x=yin the first quadrant t...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. The limiting position of the point of intersection of the lines 3x+4y=...

    Text Solution

    |

  11. Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . T...

    Text Solution

    |

  12. P(2,1) , Q (4,-1) , R (3,2) are the vertices of a triangle and if thro...

    Text Solution

    |

  13. If a line passes through the point (2,2) and encloses a triangle of a...

    Text Solution

    |

  14. Points on the line x + y = 4 which are equidistant from the lines |x| ...

    Text Solution

    |

  15. If AB=4 and the ends A, B move on the coordinate axes, the locus of t...

    Text Solution

    |

  16. A straight line L is perpendicular to the line 5x-y=1 . The area of th...

    Text Solution

    |

  17. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. The straight line passing through P(x1,y1) and making an angle alpha w...

    Text Solution

    |

  20. Find the value of lambda, if the lines 3x-4y-13=0, 8x-11y-33, and 2x-3...

    Text Solution

    |