Home
Class 11
MATHS
Show that the points (-2, 3, 5), (1, 2, ...

Show that the points `(-2, 3, 5)`, `(1, 2, 3)`and `(7, 0, -1)`are collinear.

Text Solution

Verified by Experts

Let points `(-2, 3, 5)`, `(1, 2, 3)`and `(7, 0, -1)` be denoted by `P,Q` and `R` respectively
points `P,Q` and `R` are collinear if they lie on a line
`PQ= sqrt((1+2)^2+(2-3)^2+(3-5)^2)`
`=sqrt((3)^2+(-1)^2+(-2)^2)`
...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise SOLVED EXAMPLES|13 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise EXERCISE 12.1|4 Videos

  • CONIC SECTIONS

    NCERT|Exercise EXERCISE 11.1|15 Videos

  • LIMITS AND DERIVATIVES

    NCERT|Exercise EXERCISE 13.3|8 Videos

Similar Questions

Explore conceptually related problems

Using section formula, prove that the points A(-2, 3, 5), B(1,2,3) and C(7,0, -1) are collinear.

(i) Using section formula, show that the points A(-2, 3,5), B(1,2,3) and C(7,0,-1) are collinear. (ii) Using division formula, prove that the points (2,3,4),(-1,-2,1) and (5,8,7) are collinear.

Show that the points A(5, 4, 2), B(6, 2, -1) and C(8, -2, -7) are collinear.

Show that the point A(-2, 4, 7), B(3, -6, -8) and C(1, -2, -2) are collinear.

Using section formaul, show that the points (2, -1, 3), (0, 1, 2) and (2/3, 1/3, 7/3) are collinear.

Using the distance formula, prove that the points A(-2,3), B(1,2) and C(7,0) are collinear.

Using section formula,show that the points A(2,-3,4),B(-1,2,1) and C(0,1/3,2) are collinear.

Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are collinear, and find the ratio in which B divides AC.

Using distance formula, show that the points (1,5), (2,4) and (3,3) are collinear.

Using section formula, show that the points A(1, 2, 1), B(2, 1, 0) and c(7/5, 8/5, 3/5) are collinear.