Home
Class 12
MATHS
If the x-coordinate of a point P on t...

If the x-coordinate of a point `P` on the join of `Q(22,1)a n dR(5,1,-2)i s4,` then find its `z-` coordinate.

Text Solution

AI Generated Solution

To find the z-coordinate of the point \( P \) that lies on the line segment joining the points \( Q(2, 1) \) and \( R(5, 1, -2) \) with the x-coordinate of \( P \) being 4, we can follow these steps: ### Step 1: Understand the Problem We are given two points \( Q(2, 1) \) and \( R(5, 1, -2) \). Point \( P \) lies on the line segment joining \( Q \) and \( R \) and has an x-coordinate of 4. We need to find the z-coordinate of point \( P \). ### Step 2: Use the Section Formula Let \( P \) divide the line segment \( QR \) in the ratio \( \lambda : 1 \). The coordinates of point \( P \) can be expressed using the section formula as follows: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 3.2|15 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 3.3|19 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise All Questions|294 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Archives (Matrix Match Type)|1 Videos

Similar Questions

Explore conceptually related problems

If the x-coordinate of a point P on the join of Q(2,2,1)a n dR(5,1,-2)i s4, then find its z- coordinate.

The x-coordinates of a point on t line joining the points Q(2,2,1)a n dR(5,1,-2)i s4. Find its z-coordinate.

The x-coordinates of a point on t line joining the points Q(2,2,1)a n dR(5,1,-2)i s4. Find its z-coordinate.

if the coordinates of the mid points of the Sides of a triangle are (1,2) ,(0,-1) and (2, -1) .Find the coordinates of its vertices :

if the coordinates of the mid points of the Sides of a triangle are (1,2) ,(0,-1) and (2, -1) .Find the coordinates of its vertices :

If(-4,3) are the coordinates of a point P in the new system when the origin is shifted to (1,5), then find original coordinatres of P.

The x-coordinate of a point P is twice its y-coordinate. If P is equidistant from Q(2,-5)a n dR(-3,6), then find the coordinates of P.

A point C with z-coordinate 8 lies on the line segment joining the point A(2,-3,4)\ a n d\ B(8,0, 10)dot Find its coordinates.

A point with x-coordinate 9 lies on the line segment joining the points (8, 1, 1) and (10, -2, -3). Find the coordinates of the point.

The coordinates of the middle points of the sides of a triangle are (1, 1), (2, 3) and (4, 1) , find the coordinates of its vertices.

Home
Profile