Home
Class 12
MATHS
If the lines y=4-3 x, a y=x+10 and 2 y+b...

If the lines `y=4-3 x, a y=x+10` and `2 y+b x+9=0` represent the three consecutive sides of a rectangle, then `a b=`

A

18

B

-3

C

`(1)/(2)`

D

`-(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos
  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

If three lines 3x-y=2, 5x+ay=3 and 2x+y=3 are concurrent, then a is equal to :

If the lines 2 x^(2)+7 x y+3 y^(2)-9 x-7 y+k=0 represents a pair of lines, then k=

Knowledge Check

  • If the lines x-y-1=0,4 x+3 y=k and 2 x-3 y+1=0 are concurrent then k=

    A
    1
    B
    -1
    C
    25
    D
    5
  • If the lines x+3y-9=0, 4x+by-2=0 and 2x-y-4=0 are concurrent, then b equals

    A
    `-5`
    B
    5
    C
    1
    D
    0
  • The lines 2 x+11 y-5=0,4 x-3 y-2=0 and 24 x+7 y-20=0

    A
    form a triangle
    B
    are only concurrent
    C
    are concurrent with one line bisecting the angle between the other two
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurrent then a=

    If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurrent then a=

    The lines x-y-2=0 and x+y-4=0 and x+3 y=6 meet in the common point

    The equation x-y=4 and x^(2)+4xy+y^(2)=0 represent the sides of

    The lines a x+b y=c, b x+c y=a and c x+a y=b are concurrent, if