CameraIcon

SearchIcon

MyQuestionIcon

1

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

Differentiability

If the points...

Question

If the points (0, 4) (4, 0) and (5, P) are collinear, the value of P is

A

- 1

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

B

7

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

C

6

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

D

4

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

Open in App

Solution

The correct option is D $- 1$
The given points (0, 4), (4, 0) and (5, P) are collinear, if
$\frac{1}{2} [x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2})] = 0$
$⟹ \frac{1}{2} [0 (0 - P) + 4 (P - 4) + 5 (4 - 0)] = 0$
$⟹ 4 P - 16 + 20 = 0$
$∴ P = - 1$

Suggest Corrections

thumbs-up

0

Similar questions

Q. If the points

(0, 4), (4, 0)

(6, 2 P)

are collinear, then the value of

P

Q. If the points representing the complex numbers

- 4 + 3 i, 2 - 3 i, 0 + p i

are collinear, then the value of

p

Q. If the distance between the points

(4, p)

(1, 0)

5

, then the value of

p

Q. If p, q and r are three points with coordinates

(1, 4)

(4, 5)

(m, m)

respectively, are collinear then value of

2 m

Q. Consider the three collinear points

(3, p), (4, 4)

(5, 6)

. Find the value of

p

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Differentiability

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Differentiability

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon