2a=√(16+8)^2+(-1+1)^2 = 24, therefore a =12 The centre C = -8+16/2, -1-1/2 =( 4,-1) Hence the equa

The portion BC of the string will break

Let c^2=A Therefore y=(c/x)+A Xy = c+As Differentiating w.r.t x x(dy/dx)+y =A Again differentia...

It is 1/epsillon0 = 1/8.85×10^-12 = 1.13×10^11

If a single force acts on a body and the line of action of the force passes through the centre of ma...

Let E1 be the event of transferring a red ball from bag A to bag B =3/5 Let A be the event of drawi...

1. There are 13 spades and 3 aces( one ace is in the spades) = 16 P(getting a spade or an ace is) =...

For a given potential, the force will increase if the dielcetric is introduced

1) This can be taken as two capacitors in series. The plate separation is d/2 and hence Capacitance ...

the restoring torque on the body is T= -mglsintheta

Since 2 is the root, 4+2k+q=0 That is 2k+q=-4 or q=-4-2k Since the roots are equal, b^2-4ac=0 Tha...

the charge on the capacitor increases exponentially with time. Q = BlvC+Ae^-t/RC, where is any con...

K for water is 80 and Fa = 10N Fw = Fa/k = 10/80 = 1/8 Therefore the force between them is 1/8th o...

x^2+3y=3 On differentiating, 2x+3(dy/dx)=0 dy/dx = -2x/3 The tangent is parallel to the line y =...

(82)^1/4 = (81+1)^1/4 y+∆y=x+∆x,where x=81 and ∆x=1 y=(x)^1/4, therefore dy/dx = 1/4(x)^-3/4 = 1/4

Let P(E1) be the probability of drawing a white ball from bag1 =3/13 Let P(E2) be the probability o...

y = y0sin2pi(ft-x/lamda) u = dy/dt = 2pify0cos2pi(ft-x/lamda) umax = 2pify0 wave velocity v = fla...

Let the maximum marks be x [40/100x - 20 = 40 [40/100]x = 60 x = [100x60]/40 = 150

Ampere's law is similar to Guass's law in electrostatics. Guass's law corelates surface integral o...

When the ball reches the maximum height, then t = T/2 = usinx/g Given T/2 = 10 sec, Hence 10 = u x...

Work done W = mgh or dw = mgdh mass at a height h = 500+75 - 2h = 575 - 2h Hence the work done is ...

When the comb runs through dry hair, it gets charged by friction. The molecules in the paper get pol...

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U = -Gm1m2/r let m1 = 1kg,m2 = 2kg amd m3 = 3kg and r = 1m Therefore  U = [G/1][1x2+2x3+3x1]=...

Given gravitational field due to a mass distribution is E = A/x^2. Work done is the measure of the ...

Let the numerator be x, the denominator is x+3 After adding , the fraction is x+7/x+3-1 = 3/2 x+7/...

A white ball can be drawn from urn B in two mutually exclusive ways: 1. By transferring a white bal...

given P(A) = 4/6+4 = 4/10 = 2/5 P(B) = 3/7+3 = 3/10 The statement is true if at least one of them ...

The question is incomplete. Can you give the details of obtaining the success?

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The statement is false. The lines can be collinear and hence the angle made by them can be either 0 ...

The question is incomplete, can you give the equation of the other line?

The combined equation of the given lines are xy - 9y^2+y-2x+10=0 These lines are perpendicular to t...

Gravitational force is directly proportional to the product of their masses and inversly proportio...

Using Pythagoras theorem, 15^2 + 8^2 = 289 Sq rt of 289 = 17. Therefore he is 17m from the start...

Mass per unit length of the rod is M/Lconsider a small elemnet of length dx of the rod at a distance...

The angular momentum of a system is conserved if no external torque acts on it. The total angular mo...

y^2 = 4x 4a = 4,  => a = 1 Hence the required area = 2 x int of 0 to 1 sq rt of 4x dx 4x ...

Can I have the detailed diagram ?

Put x^3 = SinA and y^3 = sinB Therefore sq rt of 1-sin^2A + sq rt of 1-sin^B = a(sinA - sinB) This...

If A is the acceleration of the train and B is the retardation of the train , then the total distanc...

Let E1 = a red ball transferred from the first bag to the second bag let E2 be the black ball trans...

When there friction between A and B, and the two move together, then a = F/(M+m) M = 1000kg and m =...

The question seems to be incomplete. Can you give the options?

Let the triangular lamina be divided into narrow strips , such that each strip is parallel to the ba...

The interval is not given. Can you give the interval?

Solution link below. Ch7 integrals sec1 qn no: 2  https://clay6.com/qa/1372/find-an-anti-deriv...

Let the no: of correct answers be x Let the no: of wrong answers be y X+y=26 and 8x-5y=0 Or multiply...

There are two angles of projection for the same horizontal range, i.e; theta and 90 - theta with the...

The moment of inertia about the axis parallel to the parallel to the plane is $(4m)(\frac{l}{2})^2+...