Question

if M(p/3,4) is the midpoint of the line segment joining the points p(-6,5) and Q(-2,3). the value of p is
a)7/2
b)-12
c)4
d)-4​

Answer 1

Answer:

Value of a=-12

Step-by-step explanation:

given,

P(a/3,4)is the midpoint of the Q(-6,5) and R(-2,3)

Mid point of the line segment joining the points $(x_{1}y_{1}) and (x_{2}y_{2})$

$⇒(x_{1}+x_{1} /2,y_{2}+y_{2} /2)$

$⇒\frac{a}{3}=\frac{-6+(-2)}{2}$

$⇒\frac{a}{3}=\frac{-6-2}{2}$

$⇒\frac{a}{3}=\frac{-8}{2}=-4$

$⇒a=3×(-4)$

$⇒a= -12$

$Therefore$

value of a =$-12$

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