Home
Class 12
MATHS
Find the coordinates of the point, where...

Find the coordinates of the point, where the line `(x-2)/3=(y+1)/4=(z-2)/2` intersects the plane `x-y+z-5=0` . Also find the angle between the line and the plane.

Text Solution

Verified by Experts

The correct Answer is:
`theta - sin^(-1)((1)/(sqrt(87)))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic - 3 (Long answer type questions - II)|23 Videos

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic - 3 (Short answer type questions - I)|3 Videos

  • SOLVED PAPER ( Topper Answers March - 2015 )

    OSWAAL PUBLICATION|Exercise PART - E|4 Videos

  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 4 (Short Answer Type Questions - II|7 Videos

Similar Questions

Explore conceptually related problems

The line (x-2)/(3)=(y-3)/(4)=(z-4)/(5) is parallel to the plane

The angle between the line (x-2)/3 = (y+1)/1 = (z-2)/(-1) and the plane 3x-4y+z = 3 is

Find the distance of the point (3,-2,1) from the plane 2x-y+2z+3=0.

Find the distance of the point (-6,0,0) from the plane 2x-3y+6z = 2 .

Find the distance of the point (3,-2,1) from the plane 2x -y+2z +3=0

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane : 2x-y+z+3=0 is the line :

Acute angle between the line (x-5)/2=(y+1)/-1=(z+4)/1 and the plane 3x-4y-z+5=0 is

The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z-4)/5 and the plane, 2x-2y+z = 5 is