The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in are respectively

The area bounded by , Y-axis and the line y=e is

If  then the general value of 'α ' is

The parabolas divide the square region bounded by the lines x=4, y=4 and the co-ordinate axes. If are respectively the areas of these parts numbered from top to bottom then is

The figure shows a double slit experiment P and Q are the slits. The path lengths PX and QX are and respectively, where n is a whole number and is the wavelength. Taking the central fringe as zero, what is formed at X

If  then  = ---

A particle starts from rest. Its acceleration time is as shown in the figure. The maximum speed of the particle will be

In figure, one car at rest and velocity of the light from head light is , tehn velocity of light from head light for the moving car at velocity , would be

If α and β are two different solutions lying between  and  of the equation  then Tan α + Tan β is

A particle of mass is initially situated at the point inside a hemispherical surface of radius as shown in figure. A horizontal acceleration of magnitudeis suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is

A cyclist starts from the centre of a circular park of radius 1 km, reaches the edge of the park, then cycles along the circumference and returns to the point as shown in figure. If the round trip takes 10 min, the net displacement and average speed of the cyclist (in metre and kilometer per hour) are

A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by and respectively Then

Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

The area bounded by y=3x and is

So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.

The area bounded by  X- axis, x=1 and x=2 is

So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.