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

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}

Two functions f(x)a n dg(x) are defined as f(x)=(log)_3|(x-2)/(x^2-10 x+24)| and g(x)=cos^(-1)((x-2)/3), then find the number of even integers for which (f(x)+g(x)) is defined.

If the equation whose roots are the roots of the equation x^(4)-x^(3)-10x^(2)+4x+24=0 each increased by 2, then the transformed equation is x^(4)+Ax^(3)+Bx^(2)+Cx+D=0

Find HCF of 10x^(3)-10x^(2)-5x + 9 " &" 30x^(3)-61x^(2)-24x + 10

The circle x^(2)+y^(2)-10x-14y+24=0 cuts an intercepts on y-axis of length

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

Locus of a point P(x,y) satisfying the equation sqrt(x^(2)+y^(2)+24y+144)=13-sqrt(x^(2)+y^(2)-10x+25) is