A train moving with constant acceleration takes t seconds to pass a certain fixed point and the front and back end of the train pass the fixed point with velocities u and v respectively. Show that the length of the train is .
Since, v = u + at
One possible condition for the three points (a, b), (b, a) and (a2, - b2) to be collinear is
a - b = 2
a + b = 2
a = 1 + b
a = 1 - b
Locus of centroid of triangle whose vertices are and (1, 0) where t is a parameter is
(3x - 1)2 + (3y)2 = a2 - b2
(3x - 1)2 + (3y)2 = a2 + b2
(3x + 1)2 + (3y)2 = a2 + b2
(3x + 1)2 + (3y)2 = a2 - b2
A house of height 100 m subtends a right angle at the window of an opposite house. If the height of the window be 64 m, then the distance between the two houses is
48 m
36 m
54 m
72 m
The distance travelled by a motor car in t seconds after the brakes are applied is s feet, wheres = 22t - 12t2. The distance travelled by the car before it stops, is
10.08 ft
10ft
11ft
11.5ft
The sides of triangle are in the ratio 1 : √3 : 2, then the angles of the triangle are in ratio
1 : 3 : 5
2 : 3 : 1
3 : 2 : 1
1 : 2 : 3
If the distance between the plane Ax - 2 y + z = d and the plane containing the lines and is , then is equal to
3
4
6
1
The normal at (a, 2a) on y2 = 4ax, meets the curve again at (at, 2at ), then the value of t is
- 1
1
- 3
3
If the vertices of a· triangle are A(0, 4, 1), B(2, 3, - 1) and C(4, 5, 0), then the orthocentre of ABC, is
(4, 5, 0)
(2, 3, - 1)
(- 2, 3, - 1)
(2, 0, 2)