Home
Class 12
MATHS
Find the equation of the line drawn t...

Find the equation of the line drawn through point (1, 0, 2) to meet the line `(x+1)/3=(y-2)/(-2)=(z1)/(-1)` at right angles.

Text Solution

Verified by Experts

Given line at `overset(harr)(AB)-=(x+1)/(3)=(y-2)/(-2)=(z+1)/(-1)" "`(i)
Let `P-=(1, 0, 2)`
Any point on line (i) is `Q-=(3r-1, -2r+2, -r-1)`
Direction ratios of `PQ " are "3r-2, -2r+2, -r-3`
Direction ratios of line `AB" are "3, -2, -1`
`because" "PQbotAB`
`therefore" "3(3r-2)-2(-2r+2)-1(-r-3)=0`
or `" "14r=7 or r=(1)/(2)`
Therefore, direction ratio of PQ are `-(1)/(2), 1, -(7)/(2) or 1, -2, 7`
`" "`Equation of line `PQ-=(x-1)/(1)=(y)/(-2)=(z-2)/(7)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.1|12 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 3.2|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise All Questions|291 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line drawn through the point (1, 0,2) to meet at right angles to the line (x+1)/(3)=(y-2)/(-2)=(z+1)/(-1) .

Find the equation of the line passing through the point(1,2,3) and parallel to the line (x-1)/2=(7-y)/3=-z .

Find the equation of the line passing through the point (-1,2,3) and perpendicular to the lines x/2=(y-1)/(-3)=(z+2)/(-2)a n d(x+3)/(-1)=(y+3)/2=(z-1)/3dot

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the equation of a line passing through the point (1,2,3) and parallel to the line (x-1)/(2)=(7-y)/(3)=-z .

Find the equation of the plane through the point (3,2,2),(1,0,-1) and parallel to the line (x-1)/(1)=(y-1)/(-2)=(z-2)/(3) . Convert to vector from.

Find the equation of the line passing through (1,1) and parallel to the line 2x-3y+5=0.

Find ten equation of the plane passing through the point (0,7,-7) and containing the line (x+1)/(-3)=(y-3)/2=(z+2)/1 .

Find the equation of the line Passing through the points (-1, 1) " and " (2, - 4) .

Find the equation of line passing through the point (1,-2) and parallel with the line x-2y+6=0 .