Home
Class 11
MATHS
If a , b and c are in A P , then the s...

If `a , b` and `c` are in `A P ,` then the straight line `a x+b y+c=0` will always pass through a fixed point whose coordinates are______

Text Solution

Verified by Experts

The correct Answer is:
N/a
Given line is `ax+by+c=0`........(i)
Since, a,b, and c are in AP, then `b=(a+c)/(2)`
`rArra-2b+c=0` ........(ii)
On comparing Eqs. (i) and (ii), we get
`x=1,y=2` [using value of b in Eq. (i)]
So, (1,-2) lies on the line.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT EXEMPLAR|Exercise TRUE/FALSE|9 Videos

  • STRAIGHT LINES

    NCERT EXEMPLAR|Exercise MATCHING THE COLUMN|3 Videos

  • STRAIGHT LINES

    NCERT EXEMPLAR|Exercise Objective type questions|20 Videos

  • STATISTICS

    NCERT EXEMPLAR|Exercise FILLERS|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT EXEMPLAR|Exercise TRUE/FALSE|9 Videos

Similar Questions

Explore conceptually related problems

If a,b and c are in AP, then the straight line ax+by+c=0 will always pass through a fixed point whose coordinates are

If a,b,c in GP then the line a^(2)x+b^(2)y+ac=0 always passes through the fixed point

Knowledge Check

  • If a,b,c are in H.P then the straight line x/a+y/b+1/c=0 always passes through the fixed point whose coordinates are

    A
    (-1,-2)
    B
    (-1,2)
    C
    (1,-2)
    D
    `(1,-1//2)`

  • If a,b,c are in AP, then the straight line ax+by+c=0 will always pass through the point

    A
    (-1, -2)
    B
    (1, -2)
    C
    (-1, 2)
    D
    (1, 2)

  • If A, B and C are in AP, then the straight line Ax + 2By+C =0 will always pass through a fixed point. The fixed point is

    A
    (0,0 )
    B
    (-1, 1)
    C
    (1, -2)
    D
    (1, -1)

    • Similar Questions

    Explore conceptually related problems

    If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a fixed point. write the coordinates of that point.

    If a,b,c are in A.P then the straight lines ax+by+c=0 will always pass through the point

    If non-zero numbers a, b and c are in HP, then the straight line x/a+y/b+1/c = 0 always passes through a fixed point

    If non-zero numbers a,b,c are in HP, then the straight line x/a+y/b+1/c=0 always passes through a fixed point. That point is

    If a,b,c are non-zero real numbers in H.P then the line (x)/(a)+(y)/(b)+(1)/(c)=0 always passes through a fixed point whose coordinates are

    Home
    Profile