Home
Class 11
MATHS
The sides of a triangle are the lines x+...

The sides of a triangle are the lines x+y=1, 7y=x, and `sqrt3y+x=0`, then which of the following are not interior points of triangle?

A

Orhocenter and circumcentre

B

centroid and circumcentre

C

Incentre and orthocenter

D

centroid and incentre

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-II More than One correct answer Type Questions)|3 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-II Linked Comprehension Type Questions)|6 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III Problems on point of intersection of lines and concurrency of lines) (LEVEL- II Integer Type Questions)|1 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

The sides of a triangle are x+y=1, 7y=x , sqrt3y+x=0 . Then which of the following is an interior point of triangle

If the lines x+y=0, x-y=0 and 2x+3y-6=0 are the sides of a triangle and (-2, a) is an interior point of the triangle then a lies

The centroid of the triangle formed by the lines x+y-1=0, x-y-1=0, x-3y+3=0 is

The circumcentre of the triangle formed by the lines x+y=0, x-y=0 and lx+my=1 is

Find the area of the triangle formed by the lines y=x,y=2x,y=3x+4

If the area of the triangle formed by the lines x=0, y=0, 3x+4y=a(a gt0) is 1, then

The area of the triangle formed by the lines 2x+y-4=0, 3x+2y-5=0, x+y+1=0 is

AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-I Staight Objective Type Questions)
  1. A rectangle ABCD has its side AB parallel to line y=x, and vertices A,...

    Text Solution

    |

  2. The image of the lie x+y-2=0 in the y-axis is

    Text Solution

    |

  3. The+ve value of a for which the image of (a,a-1) w.r.t the line x+y=6a...

    Text Solution

    |

  4. Equation of line equidistance from the lines 2x+y+4=0 and 3x+6y-5=0 is

    Text Solution

    |

  5. The locus of a point that is equidistant from the lines x+y-2sqrt2=0 a...

    Text Solution

    |

  6. A is a point on either of two line y+sqrt3absx=2 " at a distance of "...

    Text Solution

    |

  7. If the line ax+by=1 passes through point of intersetion of y=x tanalp...

    Text Solution

    |

  8. In a triangle ABC, if A-=(1,2) and the internal angle bisectors throug...

    Text Solution

    |

  9. The orhocenter of triangle formed by the lines xy=0 and x+y=1 is

    Text Solution

    |

  10. If the staight lines 2x+3y-1=0,x+2y-1=0, and ax+by-1=0 from a triangle...

    Text Solution

    |

  11. Two verticess of a Triangle are (1,3) and (4,7) the orthocentre lies o...

    Text Solution

    |

  12. If a vertex of an equilateral triangle is the origin and the side oppo...

    Text Solution

    |

  13. If 2 vertices of a triangle are (-2,3) and (5-1), orthocenter lies at ...

    Text Solution

    |

  14. If the ends of the base of an isosceles triangle are at (2,0) and (0,1...

    Text Solution

    |

  15. The line L1-=4X+3Y-12=0 intersects the x-and y-asxis at A and B, resp...

    Text Solution

    |

  16. In DeltaABC equation of BC is x-y=0. If the circumcentre and othcentre...

    Text Solution

    |

  17. Let coordinates of the points A and B are (5,0) and (0,7) respectively...

    Text Solution

    |

  18. The sides of a triangle are the lines x+y=1, 7y=x, and sqrt3y+x=0, the...

    Text Solution

    |

  19. A man starts from the point P(-3,4) and reaches the point Q (0,10 Touc...

    Text Solution

    |

  20. Two vertice of a triangle are (3,-2) and (-6,1). Then its third vertex...

    Text Solution

    |