[" ए: "],[qquad [" (ii) "45^(2)-4s+1],[" L(v) "beta-15]]

Prove that (i) " 2 cos " 45^(@) " cos " 15^(@)=((sqrt(3)+1))/(2) " "(ii) 2 " sin " 75^(@) " sin " 15^(@)=(1)/(2) (iii) " cos " 15^(@) - " sin " 15 =(1)/(sqrt(2))

Expand : (ii ) l^4 ( iii ) s^9

Prove that (i) " sin " 80^(@) "cos " 20^(@) - " cos " 80^(@) " sin " 20^(@) =(sqrt(3))/(2) (ii) " cos " 45^(@) " cos " 15^(@) - " sin " 45^(@) " sin " 15^(@) = (1)/(2) (iii) " cos " 75^(@) " cos " 15^(@) + " sin " 75^(@) " sin " 15^(2)= (1)/(2) (iv) " sin " 40^(@) " cos " 20^(@) " + cos " 40^(@) " sin " 20^(@) =(sqrt(3))/(2) (v) " cos " 130^(@) " cos " 40^(@) l + " sin " 130^(@) " sin " 40^(@) =0

Factorise : (4.5)^2 - (1.5)^2

If alpha and beta are the zeros of the quadratic polynomial p(s)=3s^(2)-6s+4, find the value of (alpha)/(beta)+(beta)/(alpha)+2((1)/(alpha)+(1)/(beta))+3 alpha beta

If alpha and beta are zeroes of a quadratic polynomial ax^(2)+bx+c . Find the value of: (i) alpha^(2)-beta^(2) (ii) alpha^(3)+beta^(3) (iii) alpha^(4)beta+beta^(4)alpha (iv) sqrt((alpha)/(beta))+sqrt((beta)/(alpha)) (v) (alpha^(2))/(beta)+(beta^(2))/(alpha) (alpha^(-1)+(1)/(alpha^(-1)))(beta^(-1)+(1)/(beta^(-1)))

[" Let "A=[[1,2],[-1,5]]" .If "A^(2)=alpha A+beta I" ,where "alpha,beta in R" and "l" is an identity matrix of order "2" ,then "],[alpha+beta" is equal to "]

Plot the given points on a graph sheet. (i) (5,4) (ii) (2,0) (iii) (3,1) (iv) (0,4) (v) (4,5)

If alpha and beta are the roots of the equation x^(2)-15x+1=0 then the value of ((1)/(alpha)-15)^(-2)+((1)/(beta)-15)^(-2) is