Question

plz solve it fast .

I will mark you as brainliest​

Answer 1

AnswEr:-

❀ Your Answer Is:-

$\\ \tt\bf{(\dfrac{8}{7},\:-\dfrac{9}{7})\:\:=\:\:(1.1, -1.2).\:\:[Approx]}$

ExplanaTion:-

Given:-

• A line segment formed by joining the points (-1, 3) and (4, -7).

• A point divides the line segment internally in ratio 3:4.

To Find:-

• The coordinates of that point.

• Let the coordinates of that point be (x,y).

Formula Used:-

• Section Formula:-

$\\ \tt\leadsto x = \dfrac{m_1x_ + m_2x_1}{m_1 + m_2} . \\ \\ \tt\leadsto y = \frac{m_1y_2 + m_2y_1}{m_1 + m_2} .$

Where,

• $\tt x_1\:\: And\:\: x_2$ are the x coordinates of the point from which line segment is made.

• $\tt y_1\:\: And\:\: y_2$ are the y coordinates of the point from which line segment is made.

• $\tt m_1\:\:And\:\:m_2$ are the ratio in which line is divided by a point internally.

• x and y are the coordinates of the point which divides the line segment internally.

So Here,

• $\tt x_1\:\: And\:\: x_2$ are -1 and 4 respectively.

• $\tt y_1\:\: And\:\: y_2$ are 3 and -7 respectively.

• $\tt m_1\:\: And\:\: m_2$ are 3 and 4 respectively.

• And we have to find x and y.

Now,

Lets put the values in above formula:-

$\\ \tt\mapsto x = \frac{m_1x_2 + m_2x_1}{m_1 + m_2} . \\ \\ \tt\mapsto x = \frac{3(4) + 4( -1)}{ 3 + 4} . \\ \\ \tt\mapsto x = \frac{12 - 4}{7}. \\ \\ \tt\mapsto{ \underline{ \underline{ x = \frac{8}{7} .}}} \\ \\ \rm similarly \\ \\ \tt\mapsto y = \frac{m_1y_2 + m_2y_1}{m_1 + m_2} . \\ \\ \tt\mapsto y = \frac{3( - 7) +4(3) }{3 + 4} . \\ \\ \tt\mapsto y = \frac{ - 21 + 12}{7} . \\ \\ \tt\mapsto{ \underline{ \underline{ y = - \frac{ 9}{7}.}}}$

$\large\bf{\therefore}$ The coordinates of the point are (x,y) $\\ \tt\bf{=\:(\dfrac{8}{7},\:-\dfrac{9}{7})\:\:=\:\:(1.1, -1.2).}$

Answer 2

abhi to tune question daala Mai answer de nahi paaya.......