[" (ii) "sqrt(2),(1)/(3)],[[" (v) "-(1)/(4),(1)/(4)," (iii) "0,sqrt(5)],[" (i) "1,1," (ii) "4,1]]

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.(i) (1)/(4),-1 (ii) sqrt(2),(1)/(3) (iii) 0,sqrt(5)( iv )1,1( v) -(1)/(4),(1)/(4) (vi) 4,1

Verify that each of the following is an AP and then write its next three terms. (i) 0, (1)/(4),(1)/(2),(3)/(4), … " " (ii) 5,(14)/(3),(13)/(3),4, … (iii) sqrt(3),2sqrt(3),3sqrt(3), … " " (iv) a+b,(a+1)+b,(a+1)+(b+1), ... (v) a,2a+1,3a+2,4a+3, …

Verify that each of the following is an AP and then write its next three terms. (i) 0, (1)/(4),(1)/(2),(3)/(4), … " " (ii) 5,(14)/(3),(13)/(3),4, … (iii) sqrt(3),2sqrt(3),3sqrt(3), … " " (iv) a+b,(a+1)+b,(a+1)+(b+1), ... (v) a,2a+1,3a+2,4a+3, …

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.(i) 1/4,-1 (ii) sqrt(2),1/3 (iii) 0,sqrt(5) (iv) 1,1 (v) -1/4 , 1/4 (vi) 4, 1

Simplify : (i)" "(-2i)((1)/(6)i)" "(ii)" "(-i)(3i)((-1)/(6)i)^(3)" "(iii)" "4 sqrt(-4)+5 sqrt(-9)-3 sqrt(-16)

Find a quadratic polynomial each with the given number as the sum and product of its zeroes re-spectively. i] (1)/(4), -1 ii] sqrt(2), (1)/(3) iii] 0,sqrt(5) iv] 1,1 v] - (1)/(4),(1)/(4) vi] 4,1

Find the conjugate of each of the following : {:((i),(-5-2i),(ii),(1)/((4+3i)),(iii),((1+i)^(2))/((3-i)),(iv),((1+i)(2+i))/((3+i))),((v),sqrt(-3),(vi),sqrt(2),(vii),-sqrt(-1),(viii),(2-5i)^(2)):}

Which of the following form of an AP ? Justify Your answer. (i) -1,-1,-1,-1, … (ii) 0, 2, 0, 2, … (iii) 1, 1, 2, 2, 3, 3, … (iv) 11, 22, 33, … (v) (1)/(2),(1)/(3),(1)/(4), … (vi) 2, 2^(2), 2^(3), 2^(4) (vii) sqrt(3),sqrt(12),sqrt(27),sqrt(48), ...