(-48) ÷ 6 = ____

Let S_(n) denote the sum of the first n terms of an AP. If S_(4) = 16 and S_(6) = -48 , then S_(10) is equal to

The LCM of 8x^(4)y^(2), 48x^(2)y^(4) is _____.

In a chamber, a uniform magnetic field of 6.5G ( 1G = 10^(-4) T) is . Maintained . An electron is shot into field witha speed of 4.8 xx 10^(6) ms^(-1) normal to the field . Explain why the path of the electron is a circle. Determine the radius of the circular orbit. (e = 1.6 xx 10^(-19) C, m = 9.1 xx 10^(-31) kg)

cos 6x = 32 cos ^(6) x - 48 cos ^(4) x + 18 cos ^(2) x-1

i. Find the slope of the line joining (-2,6) and (4,8). ii. Find the value of x, if the above line is perpendicular to the line joining (8, 12) and (x, 24).

The temperatures of the junctions of a bismuth-silver thermocouple are maintained at 0^@ C and 0.001^@ C . Find the thermo-emf (Seebeck emf) developed. For bismuth-silver, a = - 46 xx 10^(-6) V^@ C^(-1) and b= -0.48 xx 10^(-6) V^@ C^(-2) .

Find the GCD of 6x^(3) -30x^(2) + 60 x-48 and 3x^(3)-12x^(2) + 21x-18 .

If |a|=2a n d|b|=3 and adotb=0,t h e n(axx(axx(axx(axxb)))) is equal to a. 48 hat b b. -48 hat b c. 48 hat a d. -48 hat a