Maths-
General
Easy
Question
In the given equation, k is a constant. If the equation has no solution, what is the value of k?
- -1
- 0
The correct answer is:
For an equation with no solutions, this is only possible if there is no scope of those 2 lines intersecting at any point.
This is only possible in case of 2 parallel lines.
We know that slope of 2 parallel lines are equal
Step-by-step solution:-
We have 2 expressions represented with a relation between the 2 in the given question.
These 2 expressions are-
i. f(x) = (x - k)
y = 
…....................................... (Equation i)
ii. F (x) = kx
y = kx + 0 ............................................. (Equation ii)
Comparing the 2 equations with the standard form i.e. y = mx + c, we get-
m1 = and m2 = k
Now, we know that slope of 2 parallel lines are equal
i.e. m1 = m2
i.e. = k
Final Answer:-
Option D i.e. is the correct Option.
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