Home
Class 12
MATHS
A point with y-coordinate 5 lies on the...

A point with y-coordinate 5 lies on the line-segment joining the points ( 1 , 4 , -3) and (4 , 7 , - 6) , find the coordinates of the point .

Text Solution

Verified by Experts

The correct Answer is:
`((4 lambda + 1) /(lambda + 1) , 5 , (-6 lambda- 3 )/(lambda + 1)) = ((4*1/(2)+1)/(1/2+1),5,(-6*1/2-3)/(1/2 +1))`
`= (2 , 5 - 4 )
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Multiple Choice Questions|18 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|60 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

A point R with X coordinate 4 lie on the line segment joining the points P(2,-3,4) and Q(8,0,10) find the coordinates of the pont R

The points A and B trisect the line -segment joining the points P(2,1-3) and Q(5,-8,3) , find the coordinates of the points A and B.

Find the ratios in which the line-segment joining the points ( 4 , 3 , 2) and ( 1 , 2 , -3) is divided by the coordinate planes .

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

Find the ratio in which the y-axis divides the line segment joining the points (5, -6) and (-1, -4). Also, find the coordinates of the point of division.

IF the z-coordinates of a point C on the line - segment joining the points A(2 , 2 , 1) and B ( 5 , 1 , - 2) is -10 , then find the x - coordinate of C .

Find the ratio in which the line segment joining the pionts A (3, -3) and B (-2, 7) is divided by x-axis. Also, find the coordinates of the point of division.

The coordinate of the mid-point of the line segment joining the points (4,5,3) & (-2,1,-1) is

The coordinates of the mid -point of line -segment joining the points (a,-b) and (-a,b) are -

Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3 .