Two vertices of a triangle are (4,-3) and (-2,5) and its ortho centre is (1,2) , then its third vertex is
(-33,-26)
(33,26)
(26,33)
(-33,26)
The co ordinates of the point where the line through A(5, 1, 6) and B (3, 4, 1) cross the yz - plane
(17/2, 0, -13/2)
(0, 0, -13/2)
(17/2, 0, 1)
(0, 17/2, -13/2)
The shortest distance between the planes of lines whose equations are
8 units
9 units
10 units
11 units
The shortest distance between the lines whose vector equations are
-1/√6
1/√6
2/√6
-2/√6
The cartesian equation of the line is . The vector equation of the line is
The cartesian equation of the line which passes through the point (-2, 4, -4) and parallel to the line given by is
The cartesian equations of a line are 6x - 2 = 3y + 1 = 2z - 2, then direction ratios are
6, 3, 2
1, 2, 3
2, 3, 4
6, 3, 4
The equation of bisector of obtuse angle of x - 2y + 4 = 0 and 4x - 3y + 2 = 0 is.
(4 - √5 ) x - (3 - 2 √5) y + (2 - 4 √5 ) = 0
(4 + √5) x + (3 - 2 √5 )y + (2 - 4 √5) = 0
(4 - √5) x + (3 + 2 √5) y + (2 - 4 √5) = 0
(4 - √5) x - (3 + 2 √5 ) y - (2 - 4 √5 ) = 0
The equation of bisector of acute angle between lines 3x - 4y + 7 = 0 and 12x + 5y - 2 = 0 is.
21x + 77y - 101 = 0
11x - 3y + 9 = 0
31x + 77y +101 = 0
11x - 3x - 9 = 0
Find the vector equation for the line passing through the point (-1, 0, 2) and (3, 4, 6) is
