Home
Class 11
MATHS
Column I|Column II Two vertices of...

Column I|Column II Two vertices of a triangle are `(5,-1)a n d(-2,3)` . If the orthocentre is the origin, then the coordinates of the third vertex are|p. `(-4,-7)` A point on the line `x+y=4` which lies at a unit distance from the line `4x+3y=10` is|q. `(-7,11)` The orthocentre of the triangle formed by the lines `x+y-1=0,x-y+3=0,2x+y=7` is|r. `(2,-2)` If `2a ,b ,c` are in `A P ,` then lines `a x+b y=c` are concurrent at|s. `(-1,2)`

Answer

Step by step text solution for Column I|Column II Two vertices of a triangle are (5,-1)a n d(-2,3) . If the orthocentre is the origin, then the coordinates of the third vertex are|p. (-4,-7) A point on the line x+y=4 which lies at a unit distance from the line 4x+3y=10 is|q. (-7,11) The orthocentre of the triangle formed by the lines x+y-1=0,x-y+3=0,2x+y=7 is|r. (2,-2) If 2a ,b ,c are in A P , then lines a x+b y=c are concurrent at|s. (-1,2) by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

The circumcenter of the triangle formed by the line y=x ,y=2x , and y=3x+4 is

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

Knowledge Check

  • Orthocentre of the triangle formed by the lines x+y=1, x=0 and y=0 is-

    A
    `(0,1)`
    B
    `(0,0)`
    C
    `(1,0)`
    D
    `(1,1)`

  • The triangle formed by the lines x+y =0,3x+y=4 and x+3y=4 is-

    A
    isosceles
    B
    equilateral
    C
    right angled
    D
    isosceles right angled

  • The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6 and 4x-y+4=0 lies in

    A
    I quadrant
    B
    II quadrant
    C
    III quadrant
    D
    IV quadrant

    • Similar Questions

    Explore conceptually related problems

    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

    Find the coordinates of points on the straight line x+y=4 which are at unit distance from the line 4x+3y=10.

    The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

    Find the coordinates of the centroid of the triangle, formed by the lines x+2y-5=0, y+2x-7=0 and x-y+1=0 .

    The triangle formed by the line x+sqrt3y=0, x- sqrt3y=0 and x=4 is-

    Home
    Profile