Maths-
General
Easy
Question
The vector 
lies in the plane of the vectors 
and 
and bisects the angle between b and c. then which one of the following gives possible values of a and b
- a = 2, b = 2
- a = 1, b = 2
- a = 1, b = 2
- a = 1, b = 1
The correct answer is: a = 1, b = 1
Þ a-2+b=0
Þ a+b=2
bisects the angle between 
and 
Þ a =b =1
Thus a =b =1
Related Questions to study
Physics-
In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then:
In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then:
Physics-General
Physics-
A thin rigid uniform circular disc rolls without slipping on a horizontal rigid surface (or the ground). At a certain instant, its position w.r.t. ground frame is as shown in the figure.
A thin rigid uniform circular disc rolls without slipping on a horizontal rigid surface (or the ground). At a certain instant, its position w.r.t. ground frame is as shown in the figure.
Physics-General
Physics-
A wheel is rolling on a horizontal plane. At a certain instant, it has velocity ‘v’ and acceleration ‘a’ of c.m. as shown in the figure. Acceleration of
A wheel is rolling on a horizontal plane. At a certain instant, it has velocity ‘v’ and acceleration ‘a’ of c.m. as shown in the figure. Acceleration of
Physics-General
Physics-
A spool of wire rests on a horizontal surface as shown in figure. As the wire is pulled, the spool does not slip at contact point P. On separate trails, each one of the forces F1, F2, F3 and F4 is applied to the spool. For each of these forces the spool
A spool of wire rests on a horizontal surface as shown in figure. As the wire is pulled, the spool does not slip at contact point P. On separate trails, each one of the forces F1, F2, F3 and F4 is applied to the spool. For each of these forces the spool
Physics-General
Physics-
A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v0 and angular velocity w0 as shown. The disc comes to rest after moving some distance to the right. It follows that
A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v0 and angular velocity w0 as shown. The disc comes to rest after moving some distance to the right. It follows that
Physics-General
Physics-
A thin rod of mass m and length 
is bent into a V-shaped frame at its mid point as shown in the figure. The moment of inertia of the system about an axis passing through O perpendicular to the plane of the frame is equal to
A thin rod of mass m and length is bent into a V-shaped frame at its mid point as shown in the figure. The moment of inertia of the system about an axis passing through O perpendicular to the plane of the frame is equal to
Physics-General
Physics-
A thin hollow sphere of mass m is completely filled with an ideal liquid of mass m. When the sphere rolls with a velocity v kinetic energy of the system is equal to
A thin hollow sphere of mass m is completely filled with an ideal liquid of mass m. When the sphere rolls with a velocity v kinetic energy of the system is equal to
Physics-General
Physics-
A triangular plate ABC is free to rotate about two points A and B on smooth horizontal floor. A force F is applied perpendicular to AB so as to rotate the plate about A and B separately. If a1 & a2 are the corresponding accelerations for the cases then 
will be
A triangular plate ABC is free to rotate about two points A and B on smooth horizontal floor. A force F is applied perpendicular to AB so as to rotate the plate about A and B separately. If a1 & a2 are the corresponding accelerations for the cases then will be
Physics-General
Physics-
A uniform solid circular cylinder of radius r is placed on a rough horizontal surface and given a linear velocity v = 2w0r and angular velocity w0 as shown in the figure. The speed of cylinder when it starts rolling
A uniform solid circular cylinder of radius r is placed on a rough horizontal surface and given a linear velocity v = 2w0r and angular velocity w0 as shown in the figure. The speed of cylinder when it starts rolling
Physics-General
Physics-
The ball A collides elastically with an identical ball B with a speed v. The ball B touches another identical ball C. The velocity of C, after the impact, is equal to
The ball A collides elastically with an identical ball B with a speed v. The ball B touches another identical ball C. The velocity of C, after the impact, is equal to
Physics-General
Physics-
The speed of the ball after the collision.
The speed of the ball after the collision.
Physics-General
Physics-
Two bodies of masses m1 and m2 are placed on a horizontal table with coefficient of friction m and are joined by a spring. Initially, the spring has its natural length. If F is minimum force which, when applied on m1, will make the other block m2 just move. (k is the spring constant) and x is elongation in spring at that instant.
Two bodies of masses m1 and m2 are placed on a horizontal table with coefficient of friction m and are joined by a spring. Initially, the spring has its natural length. If F is minimum force which, when applied on m1, will make the other block m2 just move. (k is the spring constant) and x is elongation in spring at that instant.
Physics-General
Physics-
A ball of mass 1 kg is thrown up with an initial speed of 4 m/s. A second ball of mass 2 kg is released from rest from some height as shown in the figure
A ball of mass 1 kg is thrown up with an initial speed of 4 m/s. A second ball of mass 2 kg is released from rest from some height as shown in the figure
Physics-General
Chemistry-
that can form cis-trans geometrical isomers and also has a chiral centre, is:
that can form cis-trans geometrical isomers and also has a chiral centre, is:
Chemistry-General
Chemistry-
The major product formed when a 3,3-dimethylbutan-2-ol is heated with concentrated sulphuric acid is
The major product formed when a 3,3-dimethylbutan-2-ol is heated with concentrated sulphuric acid is
Chemistry-General
