" 4."quad Sx+9=s+3x

If p, q, r, s in R , then equaton (x^2 + px + 3q) (-x^2 + rx + q) (-x^2 + sx-2q) = 0 has

S:x ^(2) + y ^(2) -8x + 10y =0 and L : x -y -9=0 are the equations of a circle and a line.

S:x ^(2) + y ^(2) -6x + 4y -3=0 is a circle and L : 4x + 3y + 19=0 is a straight line.

Write the L.H.S and the R.H.S of each of the following equations: 3x=21 (ii) 3x-4y=9+x

If s_1,s_2,s_3.........s_r are the sum of the products of the roots taken 'r' at a time then for x^5 - x^2 + 4x - 9 = 0 => s_3 +s_4 - s_5 =

Number of solutions (s) of the equation (sin x)/(cos 3x) +(sin 3x)/(cos 9x)+(sin 9x)/(cos 27 x)=0 in the interval (0, pi/4) is __________.

Number of solutions (s) of the equation (sin x)/(cos 3x) +(sin 3x)/(cos 9x)+(sin 9x)/(cos 27 x)=0 in the interval (0, pi/4) is __________.

Number of solutions (s) of the equation (sin x)/(cos 3x) +(sin 3x)/(cos 9x)+(sin 9x)/(cos 27 x)=0 in the interval (0, pi/4) is __________.

If y = (x-a)/b , then prove that Sy = frac(Sx)(|b|)

Write the L.H.S and the R.H.S of each of the following equations: (i) 3x=21 (ii) 3x-4y=9+x