Home
Class 11
MATHS
Using section formula, prove that the t...

Using section formula, prove that the three points `( 4, 6, 10)`, `(2, 4, 6)`and `(14 , 0, 2)`are collinear.

Text Solution

Verified by Experts

Let ⇒`2=(14k-4​)/(k+1)`
⇒`14k-4=2k+2`
⇒`12k=6`
⇒`k=1/2`
and `4=(0+6​)/(k+1)`
⇒`4k+4=6`
⇒`4k=2`
⇒`k=1/2​`
...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise MISCELLANEOUS EXERCISE|6 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise EXERCISE 12.1|4 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise EXERCISE 12.2|5 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, show that the points A(1, 2, 1), B(2, 1, 0) and c(7/5, 8/5, 3/5) are collinear.

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

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

By using the concept of equation of a line, prove that the three points (3, 0) , (-2, -2) ,and (8, 2) are collinear.

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

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

Prove that the points A(3,-2,4) , B(3,-2,4), B(1,1,1) and C(-1,4,-2) are collinear.

If the points A(5, -6, -2), B(p, 2, 4) and C(3, -2, 1) are collinear, then p=

Prove that the points A(4, 0), B(6, 1), C(4, 3) and D(3, 2) are concyclic.