Option C: 6 is the value of
Explanation:
The given expression is
We need to determine the value of
To find the value of , let us substitute
in the given expression.
Thus, substituting in the expression, we have,
Adding the terms, we get,
Since, we know the absolute rule that and the simplified expression is of the form
, let us apply the absolute rule in the simplified expression.
Thus, we have,
Thus, the value of is 6.
Hence, Option C is the correct answer.
Answer:
If the equation of JK is y = mx + c, then y = mx + c' is the equation of the straight line parallel to above and will be perpendicular to that.
Step-by-step explanation:
Let us assume that the line JK has the equation in slope-intercept form as
y = mx + c ............. (1)
Therefore, the equation has slope = m
Now, any straight line having an equation with slope m will be parallel to line JK.
So, the equation of the straight line which is parallel to equation (1) will be
y = mx + c', where, c' is any real constant.
Now, let us assume that another straight line having equation
y = nx + a is perpendicular to the line JK i.e. equation (1).
Now, we know if two lines are perpendicular to each other then the product of their slopes will be - 1.
So, mn = - 1
⇒
Therefore, the equation of a straight line which is perpendicular to equation (1) will be where b is any real constant. (Answer)