x^(2)+10x+24

Let S_(1) and S_(2) denote the circles x^(2)+y^(2)+10x - 24y - 87 =0 and x^(2) +y^(2)-10x -24y +153 = 0 respectively. The value of a for which the line y = ax contains the centre of a circle which touches S_(2) externally and S_(1) internally is

Let S_(1) and S_(2) denote the circles x^(2)+y^(2)+10x - 24y - 87 =0 and x^(2) +y^(2)-10x -24y +153 = 0 respectively. The value of a for which the line y = ax contains the centre of a circle which touches S_(2) externally and S_(1) internally is

I. (x^(2)-10x + 16)//(x^(2)-12x+24) = 2//3 II. y^(2) - y - 20 = 0

Factorise 2x^(2) + 10xy + 24

Determine the nature of the roots of the following equatins : (a) x^(3) + 2x +4 = 0 (b) 3x^(2) - 10x + 3 = 0 (c ) x^(2) - 24x + 144 = 0

I. x^(2) +20x + 4 = 50 -25x II. y^(2) - 10y - 24 = 0

Factorise : x^(2) - 10 xy + 24y^(2)

If f:R rarr R is defined by f(x)=x^(2)-10x+21 then f^(-1)(-3) is 1){-4,6}2){2,4}3){-4,4,64){4,6}

x^(2)+11x+24 = ________

int(sqrt(x^2+10 x+24))/(x+5)dx is equal to