Multiple Choice QuestionsIf the coefficients of rth, (r+ 1)th and (r + 2)th terms in the binomial expansion of (1 + y)m are in A.P., then m and r satisfy the equation
m2 – m(4r – 1) + 4r2 – 2 = 0
m2 – m(4r+1) + 4r2 + 2 = 0
m2 – m(4r + 1) + 4r2 – 2 = 0
m2 – m(4r + 1) + 4r2 – 2 = 0
If the letters of word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number
601
600
602
602
A.
601
Alphabetical order is A, C, H, I, N, S
No. of words starting with A – 5!
No. of words starting with C – 5!
No. of words starting with H – 5!
No. of words starting with I – 5!
No. of words starting with N – 5!
SACHIN – 1 601.
If 
where a, b, c are in A.P. and |a| < 1, |b|<1, |c|< 1, then x, y, z are in
G.P.
A.P.
Arithmetic − Geometric Progression
Arithmetic − Geometric Progression
If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then sin A, sin B, sin C are in
G.P.
A.P.
Arithmetic − Geometric Progression
Arithmetic − Geometric Progression
If non-zero numbers a, b, c are in H.P., then the straight line 
always passes through a fixed point. That point is
(-1, 2)
(-1, -2)
(1, -2)
(1, -2)
If a1, a2, a3 , ....,an , .... are in G.P., then the value of the determinant 
is
0
-2
1
1
Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation
x2 + 18x +16 = 0
x2-18x-16 = 0
x2+18x-16 =0
x2+18x-16 =0
Let T be the rth term of an A.P. whose first term is a and the common difference is d. If for r some positive integers m, n, m ≠ n, Tm = 1/n and Tn = 1/m, then a-b equals
0
1
1/mn
1/mn
equals
Switch
