Question

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pls answer

Answer 1

Hope it helps

See in attachment.

Answer 2

$\huge {\red{\boxed{ \overline{ \underline{ \mid\mathfrak{An}{\mathrm{sw}{ \sf{er}} \colon\mid}}}}}}$

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➠ To Find :

We have to find the value of x.

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➠ Solution :

We know the formula when points are collinear.

$\large{\star{\boxed{\sf{Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|}}}}$

Where,

• x1 = 1
• x2 = - 4
• x3 = x
• y1 = 2
• y2 = 7
• y3 = - 1

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(Putting Values)

$\sf{\mapsto \frac{1}{2}|1(7 -(-1)) + (-4)(-1 - 2) + x(2 - 7)| = 0} \\ \\ \sf{\mapsto |1(7 + 1) (-4)(-3) + x(-5)| = 0} \\ \\ \sf{\mapsto 8 + 12 - 5x = 0} \\ \\ \sf{\mapsto 20 - 5x = 0} \\ \\ \sf{\mapsto 20 = 5x} \\ \\ \sf{\mapsto x = \frac{\cancel{20}}{\cancel{5}}} \\ \\ \sf {\mapsto x = 4}$