Question
A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively
The correct answer is:
Velocity at when dropped from where
Or (i)
Potential energy at (ii)
Kinetic energy potential energy
Related Questions to study
If x is real, then maximum value of 
is
If x is real, then maximum value of is
The value of 'c' of Lagrange's mean value theorem for 
is
The value of 'c' of Lagrange's mean value theorem for is
The value of 'c' of Rolle's mean value theorem for 
is
The value of 'c' of Rolle's mean value theorem for is
The value of 'c' of Rolle's theorem for 
– 
on [–1, 1] is
The value of 'c' of Rolle's theorem for – on [–1, 1] is
For 
in [5, 7]
For in [5, 7]
The value of 'c' in Lagrange's mean value theorem for 
in [0, 1] is
The value of 'c' in Lagrange's mean value theorem for in [0, 1] is
The value of 'c' in Lagrange's mean value theorem for 
in [0, 2] is
The value of 'c' in Lagrange's mean value theorem for in [0, 2] is
The equation 
represents
The equation represents
The polar equation of the circle whose end points of the diameter are 
and 
is
The polar equation of the circle whose end points of the diameter are and is
The radius of the circle 
is
The radius of the circle is
The adjoining figure shows the graph of 
Then –
Here we can see that the graph was given to us and us to take out the conclusion from that since we have the options available so I would suggest you to always start to check from the options because by the use of options we can see how easily we concluded this question.
The adjoining figure shows the graph of Then –
Here we can see that the graph was given to us and us to take out the conclusion from that since we have the options available so I would suggest you to always start to check from the options because by the use of options we can see how easily we concluded this question.
Graph of y = ax2 + bx + c = 0 is given adjacently. What conclusions can be drawn from this graph –
Here we can see that the graph was given to us and us to take out the conclusion from that since we have the options available so I would suggest you to always start to check from the options because by the use of options we can see how easily we concluded this question.
Graph of y = ax2 + bx + c = 0 is given adjacently. What conclusions can be drawn from this graph –
Here we can see that the graph was given to us and us to take out the conclusion from that since we have the options available so I would suggest you to always start to check from the options because by the use of options we can see how easily we concluded this question.
For the quadratic polynomial f (x) = 4x2 – 8kx + k, the statements which hold good are
For the quadratic polynomial f (x) = 4x2 – 8kx + k, the statements which hold good are
The graph of the quadratic polynomial y = ax2 + bx + c is as shown in the figure. Then :
The graph of the quadratic polynomial y = ax2 + bx + c is as shown in the figure. Then :
The greatest possible number of points of intersections of 8 straight line and 4 circles is :
The students can make an error if they don’t know about the formula for calculating the number of points as mentioned in the hint which is as follows
The number point of intersection between two lines can be counted by finding the number of ways in which two lines can be selected out of the lot as two lines can intersect at most one point.
The number point of intersection between two circles can be counted by finding the number of ways in which two circles can be selected out of the lot multiplied by 2 as two circles can intersect at most two points.
The number point of intersection between two circles can be counted by finding the number of ways in which one circle and one line can be selected out of the lot multiplied by 2 as one circle and one line can intersect at most two points.
The greatest possible number of points of intersections of 8 straight line and 4 circles is :
The students can make an error if they don’t know about the formula for calculating the number of points as mentioned in the hint which is as follows
The number point of intersection between two lines can be counted by finding the number of ways in which two lines can be selected out of the lot as two lines can intersect at most one point.
The number point of intersection between two circles can be counted by finding the number of ways in which two circles can be selected out of the lot multiplied by 2 as two circles can intersect at most two points.
The number point of intersection between two circles can be counted by finding the number of ways in which one circle and one line can be selected out of the lot multiplied by 2 as one circle and one line can intersect at most two points.
