Which of the following is not an AP? (a) -1.2, 0.8, 2.8, .... (b) `3, 3+ sqrt(2), 3+ 2sqrt(2), 3+3sqrt(2), ...... ` (c) 4/3, 7/3, 9/3, 12/3, ..... (d) -1/5, -2/5, -3/5,...

Which of the following are A.P.'s ? If they form an A.P., find the common difference 'd' and write three more terms : (i) -10, -6, -2, 2, ..... " " (ii) 3, 3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2), ... (iii) 0, -4, -8, -12, .... " " (iv) a, 2a, 3a, 4a, ..... (v) sqrt(3), sqrt(6), sqrt(9), sqrt(12), .....

Which term of the following sequences:(a) 2,2sqrt(2),4, . . . is 128? (b) sqrt(3),3,3sqrt(3), . . . is 729?(c) 1/3,1/9,1/(27), . . . is 1/(19683)?

3sqrt(2^(5))sqrt(4^(9))sqrt(8)=

Which of the following equations has the sum of its roots as 3? (a) x^2+3x-5=0 (b) -x^2+3x+3=0 (c) sqrt(2)x^2-3/(sqrt(2))x-1=0 (d) 3x^2-3x-3=0

Which of the following equations has the sum of its roots as 3? (a) x^2+3x-5=0 (b) -x^2+3x+3=0 (c) sqrt2x^2-3/sqrt2 x-1=0 (d) 3x^2-3x-3=0

Simplify the following expressions: (i) (3+sqrt(3))\ (3-sqrt(3)) (ii) (sqrt(5)-\ sqrt(2)\ )(sqrt(5)+sqrt(2))

1/(sqrt(9)-\ sqrt(8)) is equal to: (a) 3+2sqrt(2) (b) 1/(3+2sqrt(2)) (c) 3-2sqrt(2) (d) 3/2-\ sqrt(2)

Which of the following are AP's ? If they form an AP, find the common difference d and write three more terms. (i) 2, 4, 8, 16, . . . (ii) 2,5/2,3,7/2,. . . (iii) -1.2 ,- 3.2 ,- 5.2 ,- 7.2 ,... (iv) -10 ,-6,-2,2.... (v) 3,3+sqrt2,3+2sqrt2,3+3sqrt2,..." " (vi) 0.2,0.22,0.222,0.2222,..." " (vii) 0,-4,-8,-12,..." " (viii) -(1)/(2),-(1)/(2),-(1)/(2),-(1)/(2),..." " (ix) 1,3,9,27,..." " (x) a,2a,3a,4a,..." " (xi) a,a^(2),a^(3),a^(4),..." " (xii) sqrt2,sqrt8,sqrt18,sqrt32,..." " (xiii) sqrt3,sqrt6,sqrt9,sqrt12,..." " (xiv) 1^(2),3^(2),5^(2),7^(2),..." " (xv) 1^(2),5^(2),7^(2),73,...

The rationalisation factor of 2+sqrt(3) is (a) 2-sqrt(3) (b) sqrt(2)+3 (c) sqrt(2)-3 (d) sqrt(3)-2

Factorize : 2sqrt(2)a^3+8b^3-27 c^3+18sqrt(2)a b c