`(x^(2)+4x)^(2)-5(x^(2)+4x)-y(x^(2)+4x)+5y`

Evaluate : (v) (4x^(2) - 5y^(2) ) (4x^(2) + 5y^(2) )

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

Let (x,y) be a variable point on the curve 4x^(2)+9y^(2)-8x-36y+15=0 then min(x^(2)-2x+y^(2)-4y+5)+max(x^(2)-2x+y^(2)-4y+5)

Add : 4x^(2)y, - 3xy^(2), -5xy^(2), 5x^(2)y

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))

If 7x - 15y = 4x + y , find the value of x: y . Hence, use componendo and dividendo to find the values of : (i) (9x + 5y)/(9x - 5y) (iI) (3x^(2) + 2y^(2))/(3x^(2) - 2y^(2))

Show that: (x^(2)+y^(2))^(5)=(x^(5)-10x^(3)y^(2)+5xy^(4))^(2)+(5x^(4)-10x^(2)y^(3)+y^(5))^(2)

The centre of circle cutting the three circles x^(2)+y^(2)-4x-4y+5=0 , x^(2)+y^(2)-4x-6y+5=0 , x^(2)+y^(2)-4x-8y+5=0 orthogonally is

From the points (3,4), chords are drawn to the circle x^(2)+y^(2)-4x=0 .The locus of the midpoints of the chords is (a) x^(2)+y^(2)-5x-4y+6=0(b)x^(2)+y^(2)+5x-4y+6=0(c)x^(2)+y^(2)-5x+4y+6=0(d)x^(2)+y^(2)-5x-4y-6=0