If the gradient of lines passing through A (3,2) is 3/4,the points on the lines at a distance 5 units from A are.
(-7,5) (-1,-1)
(7,5) (-1,-1)
(1,1) (5,-5)
(-7,-5) (1,1)
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 shortest distance between the planes of lines whose equations are
8 units
9 units
10 units
11 units
The equation of a line passing through the point(-1, 2, 3) and having direction ratios proportional to -4, 5, 6 is
None of these
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 cartesian equation of a line are 6x - 2 = 3y + 1 = 2z - 2. Find the vector equation of this line.
Find the vector equation of the line joining the points whose position vectors are
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
The direction cosines of the line whose equations are
5/4, -5/3, 0
4/5, -3/5, 0
4, -3, 0
-3, 4, 0
The cartesian equation of the line which passes through the point (-2, 4, -4) and parallel to the line given by is