Amazing Facts U0001f92f Mind Blowing Facts in Hindi U0001f92a Random Facts | Hindi Facts | रोचक तथ्य #Shorts

One of the important application of the differential equation is to find out the family of curves for which some conditions involving the derivatives are given. For this one can proceed by making use of the following facts. Equation of the tangent at a point (x, y) to the curve y=f(x) is given by Y-y=dy/dx(X-x). At the X-axis, Y = 0, and X=x-y/(dy/dx) At the Y-axis, X = 0, and Y = y-dy/dx. Similar things, can be obtained for normals by writing its equation as (Y-y)dy/dx+X-x=0.If y = f(x) be a curve such questions length of x intercept of tangent is equal to the distance of the point of tangency from x-axis f(x) is given by

In the following questions of the following, a statement is followed by two conclusions I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions can definitely be drawn from the given statements. Indicate your answer. Statement: India is a multilingual country. Hindi is the national language of India. conclusions : I. All Indians should learn many languages. II. To be an Indian one needs to learn Hindi.

A solid shere of mass m and radius R is kept over a rough ground. A time varying force F=2t is acting at the topmost point as shown in figure. (a). Find angular momentum of the sphere about the bottommost point as a function of time t (b). Does this result depend on the fact whether the ground is rough or smooth?

A source of sound S having frequency f. Wind is blowing from source to observer O with velocity u. If speed of sound with respect to air is C, the wavelength of sound detected by O is :

One/two statements are given followed by two conclusions I and II. You have to consider the one/two statements to be true, even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusion /assumptions can definitely be drawn from the given statements. Statements: (a) Pakistan has exploded an implosion type nuclear device. (b) The U.S.A. has been regularly supplying arms to Pakistan. Conclusions : (I) The device was supplied by the U.S.A. (II) The scientists of Pakistan are making nuclear experiments.

Two vehicles, each moving with speed u on the same horizontal straight road, are spproaching each other. Wind blows along the road with velocity w . One of these vehicles blows a whistle of frequency f_(1) . An observer in the other vehicle hears the frequency of the whistle to be f_(2) . the speed of sond in still air is VC . the correct statement (s) is (are)