3D Geometry
Showing 21 of 521 · 521 total
- 501.Let [(, , )] be the image of the point [P(2,3,5)] in the plane 2 x+y-3 z=6.Medium
- 502.Let the lines [l_1: (x+5)/(3)=(y+4)/(1)=(z-)/(-2)] and l_2: 3 x+2 y+z-2=0=x-3 y+2 z-13 be …Hard
- 503.Let the plane P: 4 x-y+z=10 be rotated by an angle [()/(2)] about its line of intersection…Hard
- 504.Let [N] be the foot of perpendicular from the point [P(1,-2,3)] on the line passing throug…Medium
- 505.Let the system of linear equations -x+2 y-9 z=7 -x+3 y+7 z=9 -2 x+y+5 z=8 -3 x+y+13 z= has…Medium
- 506.Let the image of the point P(2,-1,3) in the plane x+2 y-z=0 be Q.Medium
- 507.The distance of the point (7, -3, -4) from the plane passing through the points (2, -3, 1)…Medium
- 508.Consider the lines L_1 and L_2 given by [L_1:x - 1 2 = y - 3 1 = z - 2 2] [L_2:x - 2 1 = y…Hard
- 509.The plane 2x-y+z=4 intersects the line segment joining the points A (a,-2,4) and B (2,b,-3…Hard
- 510.Let the plane P: 8 x+_1 y+_2 z+12=0 be parallel to the line L: (x+2)/(2)=(y-3)/(3)=(z+4)/(…Medium
- 511.If a point P(, , ) satisfying [( pmatrix & & pmatrix )( pmatrix 2 & 10 & 8 9 & 3 & 8 8 & 4…Medium
- 512.Let the line [L] pass through the point (0,1,2), intersect the line [(x-1)/(2)=(y-2)/(3)=(…Medium
- 513.Let [P] be the point of intersection of the lines [(x-2)/(1)=(y-4)/(5)=(z-2)/(1)] and [(x-…Medium
- 514.If the line [(2-x)/(3)=(3 y-2)/(4 +1)=4-z] makes a right angle with the line [(x+3)/(3 )=(…Medium
- 515.Let [P(, , )] be the image of the point [Q(3,-3,1)] in the line [(x-0)/(1)=(y-3)/(1)=(z-1)…Medium
- 516.If [A(3,1,-1), B((5)/(3), (7)/(3), (1)/(3)), C(2,2,1)] and [D((10)/(3), (2)/(3), (-1)/(3))…Medium
- 517.Let P(x, y, z) be a point in the first octant, whose projection in the x y-plane is the po…Medium
- 518.If the shortest distance between the lines [[arrayll L_1: r=(2+) i+(1-3 ) j+(3+4 ) k, & R …Medium
- 519.Consider the line [L] passing through the points (1,2,3) and (2,3,5).Medium
- 520.Line L_1 passes through the point (1,2,3) and is parallel to z-axis.Medium
- 521.Let the values of p , for which the shortest distance between the lines (x+1)/(3)=(y)/(4)=…Medium