The point of the form (a, a), where a # 0 lies on
(a) x-axis
(b) y-axis
(c) the line y =x
(d) the line x + y =0
Answers
Answer:
c
Step-by-step explanation:
x and y being equal value with same sign it will be on the line passing through original and will be on first and third quardant.
Given : The point of the form (a, a), where a ≠ 0
To Find : Point lies on
(a) x-axis
(b) y-axis
(c) the line y =x
(d) the line x + y =0
Solution:
Point on a line stratify the equation of the line
Equation of x axis is y = 0
substitute x = a , y = a in the equation
a = 0
but a ≠ 0
Hence not possible
Equation of y axis is x = 0
substitute x = a , y = a in the equation
a = 0
but a ≠ 0
Hence not possible
the line y =x
substitute x = a , y = a in the equation
a = a
Satisfied
Hence point (a , a) lies on the line y = x
the line x + y =0
substitute x = a , y = a in the equation
a + a = 0
=> 2a = 0
=> a = 0
but a ≠ 0
Hence not possible
Hence correct option is (c) the line y =x
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