Class 12

Math

3D Geometry

Three Dimensional Geometry

Find the point where the line $2x−1 =−3y−2 +4z+3 $ meets the plane $2x+4y−z=1$.

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Find the equation of the plane passing through the line $5x−1 =6y+2 =4z−3 $ and point $(4,3,7)˙$

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Find the equation of the sphere described on the joint of points $AandB$ having position vectors $2i^+6j^ −7k^and−2i^+4j^ −3k^,$ respectively, as the diameter. Find the center and the radius of the sphere.

Find the distance of the point $P(3,8,2)$ from the line $21 (x−1)=41 (y−3)=31 (z−2)$ measured parallel to the plane $3x+2y−2z+15=0.$