Angle between Two Line Segments
Trending Questions
Q. If (l1, m1, n1) and (l2, m2, n2, ) are d.c.'s of ¯¯¯¯¯¯¯¯¯¯OA, ¯¯¯¯¯¯¯¯OB such that ∠AOB=θ where ‘O’ is the origin, then the d.c.’s of the internal bisector of the angle ∠AOB are
- l1+l22sinθ2, m1+m22sinθ2, n1+n22sinθ2
- l1+l22cosθ2, m1+m22cosθ2, n1+n22cosθ2
- l1−l22sinθ2, m1−m22sinθ2, n1−n22sinθ2
- l1−l22cosθ2, m1−m22cosθ2, n1−n22cosθ2
Q. The lines x+11=y−12=z−2−1, x−12=y1=z+14 are
- parallel lines
- intersecting lines
- perpendicular lines
- skew lines
Q. If the angle between two intersecting lines having direction ratios (5, 7, 3) & (3, 4, 5) respectively can be given by
cos−1(58√b),
then what will be the value of b ?
cos−1(58√b),
then what will be the value of b ?
- 4052
- 3971
- 4167
- 4150
Q.
The angle between any two diagonals of a cube is:
cos−1(13)
cos−1(14)
cos−1(12)
π2
Q. If the direction cosines of a variable line in two adjacent positions be l, m, n and l + a, m + b, n + c and the small angle between the two positions be θ, then :
- θ2=a2+b2+c2
- |θ|=|a|+|b|+|c|
- θ3=a3+b3+c3
- θ=a+b+c
Q. The value of "b" is equal to , if the angle between two lines having direction ratios 5, 7, 3 & 3, 4, 5 respectively can be given by cos−1(58√b)
- 4150
- 4052
- 3971
- 4167
Q.
Find the angle of intersection of the curves y=4−x2and y=x2
Q. Let two lines L1:x−33=y−2−4=z−1 and L2:x−34=y−21=z−3 and x−3a=y−26=zb, (a, b∈R) is the acute angle biscetor between lines L1 and L2. Then the value of |a−b|=
Q. If (l1, m1, n1) and (l2, m2, n2, ) are d.c.'s of ¯¯¯¯¯¯¯¯¯¯OA, ¯¯¯¯¯¯¯¯OB such that ∠AOB=θ where ‘O’ is the origin, then the d.c.’s of the internal bisector of the angle ∠AOB are
- l1+l22cosθ2, m1+m22cosθ2, n1+n22cosθ2
- l1−l22sinθ2, m1−m22sinθ2, n1−n22sinθ2
- l1+l22sinθ2, m1+m22sinθ2, n1+n22sinθ2
- l1−l22cosθ2, m1−m22cosθ2, n1−n22cosθ2
Q. The lines x+11=y−12=z−2−1, x−12=y1=z+14 are
- skew lines
- parallel lines
- perpendicular lines
- intersecting lines