MyQuestionIcon

1

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

Equation of a Plane : Intercept Form

Find the valu...

Question

Find the value of k if the points A(8,1) , B(k,-4) and C(2,-5) are collinear.

Open in App

Solution

Suggest Corrections

thumbs-up

11

Similar questions

Find the value of k, if the points A (8, 1), B (3, -4) and C (2, k) are collinear.

Q. For what values of k are the points

A (8, 1)

B (3, - 2 k)

C (k, - 5)

Show that the following points are collinear :

(i) A (2, -2), B(-3, 8) and C(-1, 4)

(ii) A(-5, 1), B(5,5) and C(10, 7)

(iii) A(5, 1), B(1, -1) and C(11, 4)

(iv) A(8, 1), B(3, -4) and C(2, -5)

Q. For what values of k are the points A(8, 1), B(3, −2k) and C(k, −5) collinear? [CBSE 2015]

Q. Assertion (A)
If the points A(8, 1), B(k, −4) and C(2, −5) are collinear, then k = 4.

Reason (R)
Three points A(x₁, y₁), B(x₂, y₂) and C(x₃, y₃) are collinear only when x₁(y₂− y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂) = 0.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Equation of a Plane: Three Point Form and Intercept Form

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Equation of a Plane : Intercept Form

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon