Angle between a Plane and a Line
Let denote the line in the -plane with and intercepts as and respectively. Then the image of the point in this line is
- (1, 2, −3)
- (−1, 4, 3)
- (0, −4, −7)
- (−3, 5, 2)
Angle between two line of regression is given by.
- (4, −1, 7)
- (4, 1, −2)
- (2, 1, 3)
- (−2, 3, 5)
If l1, m1, n1, l2, m2, n2 and l3, m3, n3 are the direction cosines of three mutually perpendicular lines, then prove that the line whose direction cosines are proportional to l1+l2+l3, m1+m2+m3 and n1+n2+n3 makes equal angles with them.
Let , the set of all points where is differentiable is
If and , then is equal to
The locus of point which divides the line joining and internally in the ratio for all , is a
Pair of straight line
The angle between the line and the plane is
In a general quadratic equation, if then the equation represents
Two parallel straight lines
Two perpendicular straight lines
Two intersecting lines
None of these
where [.] represent greatest interger function
- angle between the line AC and OD is π3.
- angle between the line AC and OD is π2.
- shortest distance between AC and OD is 1√. unit
- shortest distance between AC and OD is 12 unit
If the median of a triangle divides the angle in the ratio , then is equal to
- (−92, 9, 9)
- (9, −92, 9)
- (9, 92, 9)
- (92, 9, 9)
The measure of an angle in standard position is given.
Find two positive angles and two negative angles that are co terminal with the given angle. (Enter your answers as a comma-separated list.)
If and are perpendicular to each other then, equals to
Find the equation of the line passing through the point (3, 0, 1) and parallel ti the planes x+2y=0 and 3y-z=0.
- a=8, b=−2, c=5
- a=−8, b=2, c=−5
- a=−9, b=−2, c=−5
- a=9, b=−2, c=−5