Q34 of 34 Page 11

Find the distance of the point ( – 1, – 5, – 10) from the point of intersection of the line and the plane [CBSE 2018]

Here we have the cartesian equation of a line,


And, the cartesian equation of a plane,


x – y + z – 5 = 0.


Let Q(be the point of intersection of line and plane which will satisfy both equation.


(let)



also




So, putting the value of , we get,





And,




Q = (2, – 1, 2)


l(PQ) =



= 13 units.

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