The importance of nutrition and a balanced diet. Nutrition is vital for your body and all of its systems to function properly,  by having good nutrition it will .....

You may have learnt that cosC + cosD = 2cosC+D2.cosC-D2 In the first two terms of the equation, use the above formula. i.e. cos20o + cos100o = 2cos20o+100o2.cos20o-100o2 Simplify the expression in the right hand side of the .....

After finding equation a & b, Either, x + 2y = 0............(a)

Or,  3x - 5y =0 ..............(b)

The lines perpendicular to these are:

2x -  y + k1 = 0 …(i)

5x + 3 y + k2 = 0 .....

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Here, P is singular matrix. So determinant is zero. i.e; 4 (-6) - 3(1 - m2) = 0 or, - 3(1 - m2) = 24 or, 1 - m2 = - 8 or, m2 = 9 or, m = 3 or - .....

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Here, S = ({H, T} n(S) = 2. From the diagram, P(TT) = P(T).P(T) =1/2 .1/2 = .....

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पदवर्ग पदवर्ग ५. आफ्नोः विशेषण प्रतिः नामयोगी मोहः नामप नैः निपात हामीः सर्वनाम हुन्छः .....

The functions of homologous series are: 1) All the member of the same series can be represented by the same general formula, for example, the series of alkenes can be represented by a general formula CnH2n+2. 2) Each successive member of a .....

A strong acid is one which ionizes either completely or almost completely in an aqueous medium. Hydrochloric acid ionizes almost completely in an aqueous solution. HCl + H2O → H30+  .....

A crust is the outermost shell of a rocky planet, like Earth (as opposed to a gaseous planet, like Jupiter). The crust of the Earth  consists of various rock composites and other material. It is about three times thicker .....

Here, Dollars($)30= Rs.2160 Rs.1980 = pound (£)15  pound (y) =  $44. Using chain rule, 30 x 1980 x y = 2160 x 15 x 44 or, y = £ 24. ​​​​​​​Thus, £24 can be .....

The general equation of a circle is (x - h)2 + (y - k)2 = r2, where (h, k) are the coordinates of the centre and r is the radius of the circle. Circle passes through three points. The coordinates of the points give the value of x and y .....

Here, Height= radius = r     CSA= 2πrh or, 1232cm2= 2 ⨯22/7⨯ r ⨯ r or,  r2= 1232⨯7/44 or, r = 14cm At last, TSA = 2πr(r + h)  = 2⨯ 22/7 ⨯ 14 cm⨯ 2⨯ 14cm   [ Since, r = .....

Here,  √3tanx + 1 = Secx Changing into sin and cos we get √3sinx + cosx = 1 or, √3sinx  = 1 -  cosx Squarng both sides, we get 3sin2x = 1 - 2cosx + cos2x  or, 3 - 3cos2x = 2 - 2 cosx + .....

Here to prove it, frist we have to find out value of fg(x) For this,  f g(x) = f [ g (x) ] = f( 2x - 2)          =3(2x - 2) + 4          = 6x - 2, Similarly  find g f(x) , you will get .....

Here, A+B+C = 180 or, A  = 180 - (B + C)     ......therefore.....

or, sin A = sin [180 - ( B + C) ] = sin(B+C)

or, sinA  = sin(B + C)

or, sinA  =  [ sinBcosC + .....

Here, we have given 4x2 -7xy - 4y2 = 0. Compare this with ax2 + 2hxy + by2 = 0, we get a = 4 and b = -4. We know, for perpendicular,  a + b = 0 or, 4 - 4 = 0 or, 0 = 0 (True.) Thus, they are .....

Here, A = -3 2  and AB =  -634-2 Let  B = [ x   y] Then,  AB =  -634-2 or, -32 [ x     y] = -634-2  or, -3x -3y2x2y  = -634-2 Comparing the corresponding elements, -3x = - .....

Here,  f(2x + 3) = 4x + 7 Put x = (x -3)/2, we get  f{2(x - 3)/3 + 3} = 4(x-3)/2 + 7 or, f(x) = 2x + 1 or, y = 2x + 1. Under the inverse function, role of x and y interchanged. i.e; x = 2y + 1 or, y = (x - 1)/2 Thus, f-1(x) = (x - .....

We have given,  D and C respectively denote the numbers of degrees and radian of an angle, We know,  D degrees  = D x  π/180c    [Since,  1o = π/180c  .] So,  Cc = D x  .....

The general equation of a circle is (x - h)2 + (y - k)2 = r2, where (h, k) are the coordinates of the centre and r is the radius of the circle. Circle passes through three points. The coordinates of the points give the value of x and y .....