The points $(- 3, 5), (- 2, 3)$ and $(4, - 9)$ are collinear.

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
Let $A (- 3, 5), B (- 2, 3)$ and $C (4, - 9)$

Slope of $A B = \frac{3 - 5}{- 2 + 3} = - 2$

Slope of $B C = \frac{- 9 - 3}{4 + 2} = \frac{- 12}{6} = - 2$

Slope of $A B =$ Slope of $B C$

Hence $A, B, C$ are collinear.

Suggest Corrections

Similar questions

(- 3, 5), (- 2, 3)

(4, - 9)

The coordinates of two points A and B are $(- 3, 5)$ and $(4, - 9)$ . Then the coordinates of the point P on AB such that AP:PB = 1:6 are

A \equiv (2, 3)

B \equiv (3, 5)

C \equiv (7, 7)

D \equiv (4, 5)

(1 / 2, 3 / 4)

(- 1 / 3, 5 / 4)

A = (2, 3, - 1), B = (3, 5, - 3), C = (1, 2, 3), D = (3, 5, k)

A B

C D

k =

Join BYJU'S Learning Program