Home
Class 11
MATHS
Let A(3, 2, 0), B(5, 3, 2) C(-9, 6, -3)...

Let `A(3, 2, 0), B(5, 3, 2) C(-9, 6, -3)` be three points forming atriangle. AD, the bisector of `/_BAC`, meets BC in D. Find thecoordinates of the point D.

Text Solution

Verified by Experts

The correct Answer is:
`(19/8,57/16,17/16)`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

Similar Questions

Explore conceptually related problems

Let A(3,2,0),B(5,2),C(-9,6,-3) be three points forming a triangle.The bisector AD of /_BAC meets sides in D.Find the coordinates of D.

A(3, 2, 0), B(5, 3, 2) and C(-9, 8, -10) are the vertices of a triangle ABC. If the bisector of angleABC meets BC atD, then coordinates of D are

A(3,2,0),B(5,3,2),(-9,6,-3) are the vertices of /_\ ABC and AD is the bisector of /_BAC which meets at D. Find the coordinates of D,

A(3,2,0),B(5,3,2) and C(-9,6,-3) are the vertices of a triangle ABC if bisector of angle BAC meets BC at D, then co- ordinates of D are

If A ( 2,2,-3) B ( 5,6,9) ,C (2,7,9) be the vertices of a triangle. The internal bisector of the angle A meets BC at the point D, then find the coordinates of D.

A(4,2),B(6,5) and C(1,4) are the vertices of ABC. The median from A meets BC in D Find the coordinates of the point D

A(-1,2,-3),B(5,0,-6) and C(0,4,-7) are the vertices of a triangle.The DRs of the internal bisector of /_BAC are

7. Let A (4, 2) B(6.,5) and C(1.,4). be the vertices of DeltaABC. (1) The median from A meets BC at D. Find the coordinates of the point D. (2) the coordinates of the point P on AD such that AP: PD= 2:1. (3) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ: QE = 2 :1 and CR :RF =2: 1. (4) what do yo observe?