Home
Class 11
MATHS
Find the values of k for which the line ...

Find the values of k for which the line `(k - 3) x - (4 - k^(2)) y +k^(2) - 7k + 6 = 0 `is
(a) Parallel to the x-axis,
(b) Parallel to the y-axis,
(c) Passing through the origin.

Text Solution

Verified by Experts

The correct Answer is:
`(a)3, (b) pm 2, (c ) 6 " or " 1`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT BANGLISH|Exercise EXERCISE 10.3|18 Videos
  • STATISTICS

    NCERT BANGLISH|Exercise Miscellaneous Exercise On Chapter 15|7 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXAMPLES|10 Videos

Similar Questions

Explore conceptually related problems

(vii) Find the values of k for which the point (k^2-6k+8,7) lie on the y-axis.

The straight line (x-3)/3=(y-2)/1=(z-1)/0 is (a)Parallel to x-axis (b)Parallel to the y-axis (c)Parallel to the z-axis (d)Perpendicular to the z-axis

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 value k for which the line (x-1)/(8)=(y+2)/(k)=(z-3)/(-6) is perpendicular to the plane 4x+2y-3z=5 is -

    A
    6
    B
    -6
    C
    4
    D
    -4
  • Similar Questions

    Explore conceptually related problems

    Find the equation of line passing through point (2,3) which is (i) parallel of the x-axis (ii) parallel to the y-axis

    The values of k for which lines kx + 2y + 2 = 0, 2x + ky + 3 = 0, 3x + 3y + k = 0 are concurrent are

    Find the value of k if ^(k^2-2k)C_9 = ^(k^2-2k)C_6

    Equation of straight line parallel to the y axis and passes through (-2, 3) is

    Find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (-2, 3) .

    Find the value of k for which the given value is a solution of the given equation x^2+3ax+k=0 at x=-a