Answer:
Step-by-step explanation:
Co-ordinates of point A = ( -7 , 1 )
Co-ordinates of point M = ( -2 , 2 )
Let the co-ordinates of point B be ( x , y )
A ( -7 , 1 ) ( x1 , y1 )
B ( x , y ) ( x2 , y2 )
Now,
Midpoint =
⇒
Finding the value of x :
⇒
Do cross multiplication
⇒
⇒
⇒
⇒
Now, finding the value of y
⇒
Do cross multiplication
⇒
⇒
⇒
⇒
Hence, The co-ordinates of point B = ( 3 , 3 )
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The correct option is b.
<h2>Quadratic Equation</h2>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
<h2>Leading coefficient </h2>The leading coefficient of an equation is a coefficient of the term having the highest power in the equation.
Given options:
a.)
b.)
c.)
d.)
As it is given that the leading coefficient of the equation is 3. therefore, the value of the 'a' in the general quadratic equation is 3,
3x²+bx+c,
Also, the value of the constant is -12, therefore, the value of c is -12,
3x²+bx-12
From all the given options the only feasible option is b only.
Hence, the correct option is b.
Learn more about Quadratic Equation: