The midpoint of A 12-8 and B 4-6 lies on the line x - y -1-A- TrueB- False

The correct option is A True The midpoint of AB is (12 + 4/2,8 + 6/2)=(8,7) If this lies on x y = 1,then it should satisfy the equation ⇒ 8 7 = 1 Therefore ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Mid Point Formula

The midpoint ...

Question

The midpoint of A(12, 8) and B(4, 6) lies on the line x - y = 1.

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

The midpoint of AB is $(\frac{12 + 4}{2}, \frac{8 + 6}{2}) = (8, 7)$
If this lies on x - y = 1,then it should satisfy the equation
$\Rightarrow 8 - 7 = 1$
Therefore the statement, “The midpoint of AB lies on x-y=1” is true.

Suggest Corrections

Similar questions

Find the midpoint of the line segment joining the points A(12, 8) and B(4, 6).

Q. Find the ratio in which the midpoint of A(12, 8) and B(4, 6) divides the points of trisection of the line AB.

The point $(b, a)$ lies on the straight line $a x + b y - a b = 0$ .

The point (b, a) lies on the straight line ax + by – ab = 0. State whether true or false.

Midpoint of the line joining the points ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ ) is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

Join BYJU'S Learning Program

The midpoint of A(12, 8) and B(4, 6) lies on the line x - y = 1.

The correct option is A True The midpoint of AB is (12+42,8+62)=(8,7) If this lies on x - y = 1,then it should satisfy the equation ⇒8−7=1 Therefore the statement, “The midpoint of AB lies on x-y=1” is true.

The correct option is A
True

The midpoint of AB is $(\frac{12 + 4}{2}, \frac{8 + 6}{2}) = (8, 7)$
If this lies on x - y = 1,then it should satisfy the equation
$\Rightarrow 8 - 7 = 1$
Therefore the statement, “The midpoint of AB lies on x-y=1” is true.