Three Dimensional Geometry
Find the equation of the plane passing through the line of intersection of the planes x+2y+3z−5=0 and 3x−2y−z+1=0 and cutting off equal intercepts on the x-axis and z-axis.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
The angle between the line x−2a=y−2b=z−2c and the plane ax+by+cz+6=0 is
Find the equation of the sphere which has centre at the origin and touches the line 2(x+1)=2−y=z+3.
Find the plane of the intersection of x2+y2+z2+2x+2y+2=0and4x2+4y2+4z2+4x+4y+4z−1=0.
If r⃗ =(i^+2j^+3k^)+λ(i^+j^+k^) and r⃗ =(i^+2j^+3k^)+μ(i^+j^−k^) are two lines, then the equation of acute angle bisector of two lines is
If the sum of the squares of the distance of a point from the three coordinate axes is 36, then find its distance from the origin.
The straight line 3x−3=1y−2=0z−1 is (a)Parallel to x-axis (b)Parallel to the y-axis (c)Parallel to the z-axis (d)Perpendicular to the z-axis
The shortest distance between the skew linesl1:r⃗ =a⃗ 1+λb⃗ 1l2:r⃗ =a⃗ 2+μb⃗ 2 is
If the center of the sphere ax2+by2+cz2−2x+4y+2z−3=0is (1/2,−1,−1/2), what is the value of b ?