Evaluate each of the following using identities: `(1. 5 x^2-0. 3 y^2)\ \ (1. 5 x^2+0. 3 y^2)`

Evaluate each of the following using identities: (1.5x^(2)-0.3y^(2))(1.5x^(2)+0.3y^(2)

If x=3 and y=-1, find the values of each of the using identity: ((5)/(x)+5x)((25)/(x^(2))-25+25x^(2))

Find the centre and radius of each of the following circle : (i) x^(2)+y^(2)+4x-4y+1=0 (ii) 2x^(2)+2y^(2)-6x+6y+1=0 (iii) 2x^(2)+2y^(2)=3k(x+k) (iv) 3x^(2)+3y^(2)-5x-6y+4=0 (v) x^(2)+y^(2)-2ax-2by+a^(2)=0

Find the equation of the circle which cuts each of the following circles orthogonally. x^2+y^2+3x+2y+1=0 x^2+y^2-x+6y+5=0 x^2+y^2+5x-8y+15=0

Find k,if the following equations are consistent: ky=x+1,2x-3y+5=0,3x+2y+1=0

Find the angle between the following pairs of lines : (i) x+2y-1=0 and 2x-y+3=0 (ii) y=5x+1 and y=-3x+2

Find the angle between the following pairs of lines : (i) x+2y-1=0 and 2x-y+3=0 (ii) y=5x+1 and y=-3x+2

Find the angle between the following pairs of lines : (i) x+2y-1=0 and 2x-y+3=0 (ii) y=5x+1 and y=-3x+2

Find the angle between the following pairs of lines : (i) x+2y-1=0 and 2x-y+3=0 (ii) y=5x+1 and y=-3x+2

If x=3 and y=-1, find the values of each of the using identity: ((3)/(x)-(x)/(3))((x^(2))/(9)+(9)/(x^(2))+1)