Maths-
General
Easy
Question
If 
then at 
is
- continuous if b=0
- discontinuous for any real b
- differentiable for b= ±1
- non-differentiable for any real b
The correct answer is: continuous if b=0
Related Questions to study
chemistry-
In the reaction 
In the reaction
chemistry-General
chemistry-
The product (A) formed can:
The product (A) formed can:
chemistry-General
chemistry-
Which of the following is the strongest oxidising agent?
Which of the following is the strongest oxidising agent?
chemistry-General
Maths-
Two circles with radii 
, touch each other externally. If 
be the angle between the direct common tangents, then
Two circles with radii , touch each other externally. If be the angle between the direct common tangents, then
Maths-General
Maths-
In triangle ABC, medians AD and BE are drawn. If AD=4, 
and 
, then the area of the △ABC is
In triangle ABC, medians AD and BE are drawn. If AD=4, and , then the area of the △ABC is
Maths-General
physics-
Two coherent sources S1 and S2 are separated by a distance four times the wavelength 
of the source. The sources lie along y axis whereas a detector moves along + x-axis. Leaving the origin and far off points the number of points where maxima are observed is
Two coherent sources S1 and S2 are separated by a distance four times the wavelength of the source. The sources lie along y axis whereas a detector moves along + x-axis. Leaving the origin and far off points the number of points where maxima are observed is
physics-General
physics-
Two coherent sources separated by distance d are radiating in phase having wavelength 
. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of n = 4 interference maxima is given as
Two coherent sources separated by distance d are radiating in phase having wavelength . A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of n = 4 interference maxima is given as
physics-General
physics-
A beam with wavelength l falls on a stack of partially reflecting planes with separation d. The angle 
that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)
A beam with wavelength l falls on a stack of partially reflecting planes with separation d. The angle that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)
physics-General
physics-
Two ideal slits 
and 
are at a distance d apart and illuminated by light of wavelength passing through an ideal source slit S placed on the line through as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is
Two ideal slits and are at a distance d apart and illuminated by light of wavelength passing through an ideal source slit S placed on the line through as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is
physics-General
physics-
A monochromatic beam of light falls on YDSE apparatus at some angle (say ) as shown in figure. A thin sheet of glass is inserted in front of the lower slit 
. The central bright fringe (path difference = 0) will be obtained
A monochromatic beam of light falls on YDSE apparatus at some angle (say ) as shown in figure. A thin sheet of glass is inserted in front of the lower slit . The central bright fringe (path difference = 0) will be obtained
physics-General
maths-
Find the sum of the infinite series 
Find the sum of the infinite series
maths-General
physics-
In the figure is shown Young’s double slit experiment. Q is the position of the first bright fringe on the right side of O. P is the 11th fringe on the other side, as measured from Q. If the wavelength of the light used is 
, then 
will be equal to
In the figure is shown Young’s double slit experiment. Q is the position of the first bright fringe on the right side of O. P is the 11th fringe on the other side, as measured from Q. If the wavelength of the light used is , then will be equal to
physics-General
physics-
Figure here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20 m. The separation PQ is 5.0 m and phase of P is ahead of the phase of Q by 
. A, B and C are three distant points of observation equidistant from the mid-point of PQ. The intensity of radiations at A, B, C will bear the ratio
Figure here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20 m. The separation PQ is 5.0 m and phase of P is ahead of the phase of Q by . A, B and C are three distant points of observation equidistant from the mid-point of PQ. The intensity of radiations at A, B, C will bear the ratio
physics-General
physics-
In an interference arrangement similar to Young's double slit experiment, the slits 
are illuminated with coherent microwave sources each of frequency 
. The sources are synchronized to have zero phase difference. The slits are separated by distance d = 150 m. The intensity I
is measured as a function of , where is defined as shown. If I0 is maximum intensity, then 
for 
is given by
In an interference arrangement similar to Young's double slit experiment, the slits are illuminated with coherent microwave sources each of frequency . The sources are synchronized to have zero phase difference. The slits are separated by distance d = 150 m. The intensity I is measured as a function of , where is defined as shown. If I0 is maximum intensity, then for is given by
physics-General
physics-
In the adjacent diagram, CP represents a wavefront and AO & BP, the corresponding two rays. Find the condition on 
for constructive interference at P between the ray BP and reflected ray OP
In the adjacent diagram, CP represents a wavefront and AO & BP, the corresponding two rays. Find the condition on for constructive interference at P between the ray BP and reflected ray OP
physics-General
