Question

check whether points (1,5),(2,3) and (-2,-11) are coliner​

Answer 1

Step-by-step explanation:

Let the given points A = (1,5)

B = (2,3)

C = (-2-11)

Now, x1=1, y1=5 ; x2=2, y2=3 and x3= -2 , y3= -11

Considering Area of triangle formula,

Δ = 1/2 | x1(y2-y3) + x2(y3-y1) + x3(y1-y2) |

Substituting the values of x1,x2,x3 and y1,y2,y3 ; We get

Δ = 1/2 | 1[3-(-11)] + 2(-11-5) +(-2) (5-3) |

Δ = 1/2 | 1(3+11) + 2(-16) - 2(2) |

Δ = 1/2 | 14 - 32 - 4 |

Δ = 1/2 | -22|

Δ = 1/2 (22)

Δ = 22/2

Therefore, Δ = 11 square units

Here, Δ ≠ 0

Hence, the given points (1,5),(2,3) and (-2,-11) are not collinear.

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