Question
If
is positive, then
lies between
to
to
to
to
The correct answer is:
to ![fraction numerator 5 pi over denominator 6 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAjCAYAAABsFtHvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAV9JREFUeNpjYMAO/uPBNAd0sWRYWJ4FxN8IRFc5rSxfCMSyQLwGiAOQxEF8H3J8/guIPwHxNiAuAmIeIvTdhToCBu4DsTi5wc8CxMZAXAvEN4BYg4Dab2j8L9RKB25AfBCPvCUQ70fj76VmQvyBRy4SiOcj8cOhaYEqQAcap7jANCBOROI3A/EUcixaBw02Jij2gFocRCCxGSDxW4F4NxCrADEXKZaHAvEtIP4DxO+AeBUQm+JRD8pe59DETKG5ZTHDKBgFgw38pyMeBaNgaAFTaJn/CVrVbgJie3pYnAa1TA3K5wPiaCA+TGuLtYD4zEAF90xoq2VAAKghKTlQlv+AxvU6aGv1FzQaoulVB4BaLV7Q5jGomWUNbflk0dpyUNaSxiIOar89pbXl26C+xQZ+0dryLGibHB2AejMnaW05G7TnkgyNcxAwB+JLQOxCj0QnCsSzoX2xP1DH2JJqCADJUmzehC2lswAAAH90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1uPjU8L21uPjxtaT4mI3gzQzA7PC9taT48L21yb3c+PG1uPjY8L21uPjwvbWZyYWM+PC9tYXRoPif20gQAAAAASUVORK5CYII=)
Related Questions to study
If
then the Δk is
If
then the Δk is
If
then
=
If
then
=
If
and
,
then ![T a n invisible function application left parenthesis A plus B right parenthesis equals](data:image/png;base64,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)
If
and
,
then ![T a n invisible function application left parenthesis A plus B right parenthesis equals](data:image/png;base64,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)
In a
If
then ![T a n invisible function application fraction numerator C over denominator 2 end fraction equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAAAjCAYAAADPPrcpAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAflJREFUeNrtmbFLAzEYxUMpIuIiIkVECkWk+A9IKeIiDiIibsVRcBQHQUSKiJs4uYmIdHApUhzEVTp0cJHi4CA4ODgUoUiRIl3qC3nSI9xdj9a2Vy8PfkNzl5R7d9+XL4kQ/lYMHIMiqII3cARGRMC0A27BHAixbRJsg8sgGbELzoWRmAavIGysEOKEoWAEPYMpY4NKlN/GBqUBUDE2NPQFhowNShesMYygKCiDPUulOQiWadRCNxJXDdRdqFkqwU5LziYZ5g/535/gGiz1qvApmo9UaQ1cGRuUDl2SWIjXSwydIuPcqgP2j3BRVWUe2OpHM2R8rjhckyvJUyY3aUwWrGr3ZPng0oh53jfBgqpb02bdA54kF0rjNu0pPqhVGZvE9gI2bfrLr2O0n76KMAsfO92DhNaW18Ik5NA/zHBp5Q22/XZbVYIPbaeqNr3aPfisQ3+3cX0bJinhvJP0of1OgkeP/d3G9a1kctxwuPbOavBXaSZbL/3dxvWtci6VntyMPWN4RFmL3Hnsn+tVBdmOytrb17XPGSXN+0ra1OrUv9m4/0JjfzxekqFXsRR160GtfvNMtsP8PQMKbDNifnoyNjRk9kYtBVvB2KBmoAcm1kBLroxvwGLQjYjRiMAfKMWFOngO/JFBhBWuOXgWaictbmxovg/RUf0A6wKK/YPltmEAAACbdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlQ8L21pPjxtaT5hPC9taT48bWk+bjwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWZyYWM+PG1pPkM8L21pPjxtbj4yPC9tbj48L21mcmFjPjxtbz49PC9tbz48L21hdGg+L+dyjwAAAABJRU5ErkJggg==)
In a
If
then ![T a n invisible function application fraction numerator C over denominator 2 end fraction equals](data:image/png;base64,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)
Assertion (A): If
then ![cot invisible function application x coty equals 2](data:image/png;base64,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)
Reason (R): If
then ![fraction numerator a plus b over denominator a minus b end fraction equals fraction numerator c plus d over denominator c minus d end fraction](data:image/png;base64,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)
Assertion (A): If
then ![cot invisible function application x coty equals 2](data:image/png;base64,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)
Reason (R): If
then ![fraction numerator a plus b over denominator a minus b end fraction equals fraction numerator c plus d over denominator c minus d end fraction](data:image/png;base64,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)
Concentrations of the atmospheric
have been rising becaue of
Concentrations of the atmospheric
have been rising becaue of
Two disc of same thickness but of different radii are made of two different materials such that their masses are same. The densities of the materials are in the ratio 1:3. The moment of inertia of these disc about the respective axes passing through their center and perpendicular to their planes will be in the ratio
Two disc of same thickness but of different radii are made of two different materials such that their masses are same. The densities of the materials are in the ratio 1:3. The moment of inertia of these disc about the respective axes passing through their center and perpendicular to their planes will be in the ratio
of
(alum) can be replaced by
of
(alum) can be replaced by
If the sides of triangles are 8,15,17 then radius of the Circumcenter is
In this question, we have to find the radius of the circumcenter. The given sides of triangle is triad of the Pythagoras theorem then the triangle is right angled.
If the sides of triangles are 8,15,17 then radius of the Circumcenter is
In this question, we have to find the radius of the circumcenter. The given sides of triangle is triad of the Pythagoras theorem then the triangle is right angled.
A thin wire of length L and uniform linear mass density
is bent in to a circular loop with center at O as shown in figure. The moment of inertia of the loop about the axis xx’ is ....
![](data:image/png;base64,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)
A thin wire of length L and uniform linear mass density
is bent in to a circular loop with center at O as shown in figure. The moment of inertia of the loop about the axis xx’ is ....
![](data:image/png;base64,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)
If heart of a mammal was injected with 2% solution, then
If heart of a mammal was injected with 2% solution, then
If α2, b2, c2 are A.P then cot A, cot B, cot C are in
If α2, b2, c2 are A.P then cot A, cot B, cot C are in
The first heart sound is
The first heart sound is