Question

heyy guyzz....
plss help me....
if 3b = a + c where a, b, c are real numbers, then the line Ax + By + C is equal to zero always passes through a fixed point whose coordinates are:
1-(1, -3)
2-(-1, 3)
3-(-1, -3)
4-(1 ,3)
#class 11
​

Answer 1

Given:

The expression 3b = a + c

Also given the line equation ax + by + c = 0

To Find:

The coordinates of the fixed point through which the line Ax + By + C is equal to zero always passes.

Solution:

Given 3b = a + c

• This can be written as a -3b + c = 0 - (1)

Also line equation:

• ax + by + c = 0 - (2)

Since right hand side of both the equation is zero, lets equate them.

• ax + by + c = a - 3b + c

Values of a, b and c are fixed . Only x and y are variables.

Hence we can infer that,

• x = 1 and y = -3.

Therefore the line ax + by + c= 0 always passes through the point (1,-3).