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 of the following is irrational? (a) (2-sqrt3)2 (b) (sqrt2+sqrt3)2 (c) (sqrt2-sqrt3)(sqrt2+sqrt3) (d) (2sqrt7)/7

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)?

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 length of the tangent of the curve y=x^(2)+2 at (1, 3) is (A) sqrt(5) (B) 3sqrt(5) (C) 3/2 (D) (3sqrt(5))/(2)

In each of the following determine rational number a and b:(3+sqrt(2))/(3-sqrt(2))=a+b sqrt(2) (ii) (5+3sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)

The length of the tangent of the curve y=x^(2)+2 at (1 3) is (A) sqrt(5) (B) 3sqrt(5) (C) 3/2 (D) (3sqrt(5))/(2)

1/(sqrt(3)+sqrt(2))-2/(sqrt(5)-sqrt(3))-3/(sqrt(2)-sqrt(5))