Maths-
General
Easy
Question
If the quadratic equation 
and 
have a common root then 
is equal to
- -2
- -1
- 0
- 1
Hint:
In the question the two equations have common root so we can let the root to be any variable then we will put the value of x in both the equations and subtract the equations then we will get the value of root after that we can put the value of root in the equation and get the required result.
The correct answer is: 0
The two quadratic equations are  and
Let 
be the common root.
Now, 
subtracting the equations, we get
now putting the value in equation1
Related Questions to study
physics-
Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on frictionless horizontal surface. An impulsive force gives a velocity of 14
to the heavier block in the direction of the lighter block. The velocity of centre of mass of the system at that very moment is
Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on frictionless horizontal surface. An impulsive force gives a velocity of 14 to the heavier block in the direction of the lighter block. The velocity of centre of mass of the system at that very moment is
physics-General
Maths-
In a Δabc if b+c=3a then 
has the value equal to –
In a Δabc if b+c=3a then has the value equal to –
Maths-General
Maths-
In a 
simplifies to
In a simplifies to
Maths-General
Maths-
In a triangle ABC, a: b: c = 4: 5: 6. Then 3A + B equals to :
In a triangle ABC, a: b: c = 4: 5: 6. Then 3A + B equals to :
Maths-General
physics-
A bullet of mass 
is fired with a velocity of 50 at an angle 
with the horizontal. At the highest point of its trajectory, it collides had on with a bob of massless string of length 
m and gets embedded in the bob. After the collision, the string moves to an angle of 120
. What is the angle 
A bullet of mass is fired with a velocity of 50 at an angle with the horizontal. At the highest point of its trajectory, it collides had on with a bob of massless string of length m and gets embedded in the bob. After the collision, the string moves to an angle of 120. What is the angle
physics-General
physics-
A spherical hollow is made in a lead sphere of radius 
such that its surface touches the outside surface of lead sphere and passes through the centre. What is the shift in the centre of lead sphere as a result of this hollowing?
A spherical hollow is made in a lead sphere of radius such that its surface touches the outside surface of lead sphere and passes through the centre. What is the shift in the centre of lead sphere as a result of this hollowing?
physics-General
chemistry-
On heating a mixture of 
ans 
, we get –
On heating a mixture of ans , we get –
chemistry-General
physics-
Three identical blocks 
and 
are placed on horizontal frictionless surface. The blocks 
and are at rest. But is approaching towards 
with a speed 10 . The coefficient of restitution for all collisions is 0.5. The speed of the block just after collision is
Three identical blocks and are placed on horizontal frictionless surface. The blocks and are at rest. But is approaching towards with a speed 10 . The coefficient of restitution for all collisions is 0.5. The speed of the block just after collision is
physics-General
physics-
Two identical masses and are hanging stationary by a light pulley (shown in the figure). A shell moving upwards with velocity 
collides with the block and gets stick to it. Then
Two identical masses and are hanging stationary by a light pulley (shown in the figure). A shell moving upwards with velocity collides with the block and gets stick to it. Then
physics-General
physics-
In the given figure four identical spheres of equal mass are suspended by wires of equal length 
, so that all spheres are almost touching to each other. If the sphere 1 is released from the horizontal position and all collisions are elastic, the velocity of sphere 4 just after collision is
In the given figure four identical spheres of equal mass are suspended by wires of equal length , so that all spheres are almost touching to each other. If the sphere 1 is released from the horizontal position and all collisions are elastic, the velocity of sphere 4 just after collision is
physics-General
physics-
Two negatively charges particles having charges 
and 
and masses 
and 
respectively are projected one after another into a region with equal initial velocity. The electric field 
is along the 
-axis, while the direction of projection makes an angle a with the -axis. If the ranges of the two particles along the 
-axis are equal then one can conclude that
Two negatively charges particles having charges and and masses and respectively are projected one after another into a region with equal initial velocity. The electric field is along the -axis, while the direction of projection makes an angle a with the -axis. If the ranges of the two particles along the -axis are equal then one can conclude that
physics-General
physics-
Two blocks and (
) are connected with a spring of force constant 
and are inclined at a angel with horizontal. If the system is released from rest, which one of the following statements is/are correct?
Two blocks and () are connected with a spring of force constant and are inclined at a angel with horizontal. If the system is released from rest, which one of the following statements is/are correct?
physics-General
physics-
In the given figure, two bodies of mass and are connected by massless spring of force constant and are placed on a smooth surface (shown in figure), then
In the given figure, two bodies of mass and are connected by massless spring of force constant and are placed on a smooth surface (shown in figure), then
physics-General
chemistry-
Which of the following noble gas was reacted with 
by Bartlett to prepare the first noble gas compounds -
Which of the following noble gas was reacted with by Bartlett to prepare the first noble gas compounds -
chemistry-General
physics-
A set of 
identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of any two adjacent blocks is 
. The block at one end is given a speed towards the next one at time 
. All collision are completely elastic. Then
A set of identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of any two adjacent blocks is . The block at one end is given a speed towards the next one at time . All collision are completely elastic. Then
physics-General
