If P(frac{a}{3}, 4) is the mid-point of the l | vedclass

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(D) The mid-point formula for a line segment joining points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$.Giv

Vedclass · Accepted Answer

$-12$

Vedclass · Answer

(D) The mid-point formula for a line segment joining points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$.Given points are $Q(-6, 5)$ and $R(-2, 3)$.Calculating the mid-point $P$ of $QR$:$P = (\frac{-6 + (-2)}{2}, \frac{5 + 3}{2}) = (\frac{-8}{2}, \frac{8}{2}) = (-4, 4)$.We are given that $P = (\frac{a}{3}, 4)$.Comparing the coordinates of $P$,we have:$\frac{a}{3} = -4$$a = -4 	imes 3$$a = -12$.Thus,the value of $a$ is $-12$.

If $P(\frac{a}{3}, 4)$ is the mid-point of the line segment joining the points $Q(-6, 5)$ and $R(-2, 3)$,then the value of $a$ is

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