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Maths-

General

Easy

Question

The period of the function $f left parenthesis x right parenthesis equals c o s e c to the power of 2 end exponent invisible function application 3 x plus c o t invisible function application 4 x$ is

$π / 3$
$π / 4$
$π / 6$
p

The correct answer is: p

Related Questions to study

Let $g left parenthesis x right parenthesis equals left square bracket n plus p s i n invisible function application x right square bracket comma x element of left parenthesis 0 comma pi right parenthesis comma n element of Z comma p$ is a prime number and [x] = the greatest integer $less or equal than x$ The number of points at which f(x) is not differentiable is _______

Let $g left parenthesis x right parenthesis equals left square bracket n plus p s i n invisible function application x right square bracket comma x element of left parenthesis 0 comma pi right parenthesis comma n element of Z comma p$ is a prime number and [x] = the greatest integer $less or equal than x$ The number of points at which f(x) is not differentiable is _______

If the line $fraction numerator x minus 2 over denominator negative 1 end fraction equals fraction numerator y plus 2 over denominator 1 end fraction equals fraction numerator z plus k over denominator 4 end fraction$ is one of the angle bisectors of the lines $fraction numerator x over denominator 1 end fraction equals fraction numerator y over denominator negative 2 end fraction equals fraction numerator z over denominator 3 end fraction$ and $fraction numerator x over denominator negative 2 end fraction equals fraction numerator y over denominator 3 end fraction equals fraction numerator z over denominator 1 end fraction$ then the value of k is

If the line $fraction numerator x minus 2 over denominator negative 1 end fraction equals fraction numerator y plus 2 over denominator 1 end fraction equals fraction numerator z plus k over denominator 4 end fraction$ is one of the angle bisectors of the lines $fraction numerator x over denominator 1 end fraction equals fraction numerator y over denominator negative 2 end fraction equals fraction numerator z over denominator 3 end fraction$ and $fraction numerator x over denominator negative 2 end fraction equals fraction numerator y over denominator 3 end fraction equals fraction numerator z over denominator 1 end fraction$ then the value of k is

A particle when projected in vertical plane moves along smooth surface with initial velocity 20m/s at an angle of 60°, so that its normal reaction on the surface remains zero throughout the motion. Then the slope of the tangent to the surface at height 5 m from the point of projection will be

A particle when projected in vertical plane moves along smooth surface with initial velocity 20m/s at an angle of 60°, so that its normal reaction on the surface remains zero throughout the motion. Then the slope of the tangent to the surface at height 5 m from the point of projection will be

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Consider a particle moving without friction on a rippled surface, as shown. Gravity acts down in the negative h direction. The elevation h(x) of the surface is given by h(x) = d cos(kx). If the particle starts at x = 0 with a speed v in the x direction, for what values of v will the particle stay on the surface at all times?

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System shown in figure is released from rest. Pulley and spring is massless and friction is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with ground is (Take force constant of spring $open k equals 40 N divided by m blank a n d blank g equals 10 m divided by s to the power of 2 end exponent close parentheses$

System shown in figure is released from rest. Pulley and spring is massless and friction is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with ground is (Take force constant of spring $open k equals 40 N divided by m blank a n d blank g equals 10 m divided by s to the power of 2 end exponent close parentheses$

physics-General

A smooth track in the form of a quarter circle of radius 6 m lies in the vertical plane. A particle moves from $P subscript 1 end subscript blank t o blank P subscript 2 end subscript$ under the action of forces $stack F with rightwards arrow on top subscript 1 end subscript comma stack F with rightwards arrow on top subscript 2 end subscript blank a n d blank stack F with rightwards arrow on top subscript 3 end subscript. blank F o r c e blank stack F with rightwards arrow on top subscript 1 end subscript$ is always toward $P subscript 2 end subscript$ and is always 20 N in magnitude. Force $stack F with rightwards arrow on top subscript 2 end subscript$ always acts horizontally and is always 30 N in magnitude. Force $stack F with rightwards arrow on top subscript 3 end subscript$ always acts tangentially to the track and is of magnitude 15 N. Select the correct alternative(s)

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Ball I is thrown towards a tower at an angle of 60° with the horizontal with unknown speed (u). At the same moment ball II is released from the top of tower as shown. Balls collide after two seconds and at the moment of collision, velocity of ball I is horizontal. Find

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A ball of mass ‘m’ is rotating in a circle of radius ‘r’ with speed v inside a smooth cone as shown in figure. Let N be the normal reaction on the ball by the cone, then choose the wrong option.

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System shown in the figure is released from rest when spring is unstretched. Pulley and spring is massless and friction is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with ground is (Take force constant of spring k = 40 N/m and $open g equals 10 m divided by s to the power of 2 end exponent close parentheses$

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In the figure shown the spring constant is K. The mass of the upper disc is m and that of the lower disc is 3m. The upper block is depressed down from its equilibrium position by a distance $delta$ =5mg/K and released at t=0. Find the velocity of ‘m’ when normal reaction on 3m is mg

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A particle P of mass m is attached to a vertical axis by two strings AP and BP of length l each. The separation AB=l. P rotates around the axis with an angular velocity $omega$ . The tensions in the two strings are $T subscript 1 end subscript blank a n d blank T subscript 2 end subscript$

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A single wire ACB passes through a smooth ring at C which revolves at a constant speed in the horizontal circle of radius r as shown in the fig. The speed of revolution is

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