Home
Class 12
MATHS
If the system of equations ax+y=1,x+2y=3...

If the system of equations `ax+y=1,x+2y=3,2x+3y=5` are consistent, then a is given by

A

0

B

1

C

2

D

None of these

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

If the system of equations x-5y+4z=lambda , x+y-2z=0,2x-3y+z=0 is consistent,then the value of lambda is

If the system of equations 2x-3y+4=0,5x-2y-1=0 and 21x-8y+lambda=0 are consistent,then lambda is

Knowledge Check

  • If the system of equations ax +y=3,x+2y=3 , 3x+4y=7 is consistent then value of a is given by

    A
    2
    B
    1
    C
    `-1`
    D
    0

  • If the system of equations 2x+3y+5=0,x+ky+5=0 and kx-12y-14=0 be consistent , then value of k will not be

    A
    `-2,12/5`
    B
    `-1,1/5`
    C
    `-6,17/5`
    D
    `6,-12/5`

  • If the system of equations 2x-3y+5z=12, 3x_y+pz=q and x-7y+8z-17 is consistent, then which of the following is not true?

    A
    `p=2, q=7`
    B
    `p ne 2, q=7`
    C
    `p ne2, q ne7`
    D
    `p =2, q ne 7`

    • Similar Questions

    Explore conceptually related problems

    Solve the system of equations 2x+5y=1 and 3x+2y=7

    If the equations 2x+3y+1=0,3x+y-2=0 and ax+2y-b=0 are consistent, then

    If the equations 2x+3y+1=0,2x+y-1=0 and ax+2y-b=0 are consistent, then

    Determine,graphically whether the system of equations x-2y=2,4x-2y=5 is consistent or in-consistent.

    The system of equations 2x+y-5=0, x-2y+1=0 and 2x-14y-a=0 is consistent.Then a is equal to

    Home
    Profile