Home
Class 12
MATHS
The number of values of k for which the ...

The number of values of `k` for which the system of equations:
`kx+(3k+2)y=4k`
`(3k-1)x+(9k+1)y=4(k+1)` has no solution, are

A

infinite

B

1

C

2

D

3

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2014|2 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2015|2 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2012|2 Videos
  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos
  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

Similar Questions

Explore conceptually related problems

The number of values of k for which the system of the equations (k+1)x+8y=4k and k x+(k+3)y=3k-1 has infinitely many solutions is 0 b. 1 c. 2 d. infinite

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is a. 2 b. 5//2 c. 3 d. 5//4

Knowledge Check

  • Find the value of K for which the two equations x-ky=k and x+(k-2)y=2 will not be solved

    A
    -1
    B
    1
    C
    2
    D
    None of the above
  • The equations kx+3y= k-3 and 12x +ky =k will have infinity as a solution if

    A
    k=0
    B
    k=3
    C
    k=6
    D
    k=9
  • Similar Questions

    Explore conceptually related problems

    The number of integral values of k for which the equation 7 cos x + 5 sin x=2 k +1 has a solution is -

    The number of values of k for which the lines (k+1)x+8y=4ka n dk x+(k+3)y=3k-1 are coincident is __________

    The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

    The number of values of k for which the equation x^(2)-3x+k=0 has two distinct roots lying in the interval ( 0 , 1 ) are

    Number of integral values of k for which the equation 4 cos^(-1)(-|x|)=k has exactly two solutions, is: (a) 4 (b) 5 (c) 6 (d) 7

    The value of k for which the roots of the equation 2x^2 + kx + k - 3 = 0 are reciprocal to each other is