(y^(2)+(3)/(2))(y^(2)-(3)/(2))quad (i pi)(x+8)(x-10)(2 pi)(3x+4)(3x-5)

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))

Area enclosed between the curves |y|=1-x^(2) and x^(2)+y^(2)=1 is (3 pi-8)/(3) (b) (pi-8)/(3)(2 pi-8)/(3) (d) None of these

The area of the region described by A={(x,y):x^(2)+y^(2)<=1 and quad y^(2)<=1-x} is (1) (pi)/(2)+(4)/(3)(2)(pi)/(2)-(4)/(3)(3)(pi)/(2)-(2)/(3)(4)(pi)/(2)+(2)/(3)

tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is (A) (pi)/(2)(B)(pi)/(3)(C)(pi)/(4)(D)(pi)/(4) or 3(pi)/(4) is (A) (pi)/(2)(B)

The area of the region described by A={(x,y):x^(2)+y^(2)<=1 and y^(2)<=1-x} is (A) (pi)/(2)+(4)/(3)(B)(pi)/(2)-(4)/(3)(C)(pi)/(2)-(2)/(3)(D)(pi)/(2)+(2)/(3)

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 solutions of the equation sin x+2sin2x+sin3x=cos x+3cos2x+cos3x in the interval 0<=x<=2 pi, are (pi)/(8),(5 pi)/(8),(2 pi)/(3)(b)(pi)/(8),(5 pi)/(8),(9 pi)/(8),(13 pi)/(8)(1 pi)/(3),(9 pi)/(3),(2 pi)/(3),(13 pi)/(8) (d) (pi)/(8),(5 pi)/(8),(9 pi)/(3),(4 pi)/(3),(4 pi)/(3),(9 pi)/(3),(2 pi)/(3),(13 pi)/(8)(d)

Use suitable identities to find the following products: (i) (x+4)(x+10) (ii) (x+8) (x-10) (iii) (3x+4) (3x -5) (iv) (y^2+3/2)(y^2-3/2) (v) (3-2x)(3+2x)

Use suitable identities to find the following products: (i) (x+4)(x+10) (ii) (x+8)(x-10) (iii) (3x+4)(3x-5) (iv) (y^2+3/2)(y^2-3/2) (v) (3-2x)(3+2x)