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"Thoughtwaves "
Questions (28)
There are 5 historical momuments, 6 gardens and 7 shopping malls in the city. In how many ways
a tourist can visit the city, if
1 answer
89 views
How many four digit numbers are there which are divisible by 2
1 answer
51 views
let A B and C are three arbitrary event . find the probability both a and b but not c occur
1 answer
48 views
both a and b but not c occur in probality
1 answer
66 views
Let A,B and C are three arbitrary events.Find the expression for the events noted below,in the context of A,B
and C. (i) Only A
1 answer
87 views
In a triangle ABC, tanA2=56
and tanC2=25 , then a, b, c are in A.P. cos A, cos B, cos C are in A.P. sin A, sin B, sin C are in
1 answer
76 views
explain this
g(x) is of the form ax2+bx+c where a,b,c>0 and b2−4ac=D<0 Hence g(x)>0 for xϵR.
1 answer
59 views
If f(x) is quadratic expression which is positive for all real value of x and g(x)=f(x)+f′(x)+f′′(x)
. Then for any real
3 answers
52 views
prove tan(A/2) = (1 - cos(A))/sin(A)
1 answer
68 views
If 90o<A<180o and sinA=4/5, then tanA/2 is equal to
1 answer
79 views
If 90o<A<180o and sinA=4/5, then tanA2 is equal to
1 answer
58 views
If 90o<A<180o and sinA=45, then tanA/2 is equal to
1 answer
79 views
The point of local minimum & maximum of the function f (x) = x3 – (2x – 1)3 , is
1 answer
45 views
The point of local minima of f(x) =sin x +1/2 cos x
where 0 < x <pi/2
1 answer
59 views
The absolute maximum & minimum point of function f (x) = 2 cos 2x – cos 4x in [0, pi]
57 answers
173 views
The point of minima of function sin^3xcosx is
1 answer
93 views
The point of local maximum & minimum of the function f (x) = – x + 2 sin x (where 0 <x<2pi)
1 answer
122 views
If the best and the worst paper never appear together, then six examination papers can be arranged in how many ways
1 answer
102 views
If the best and the worst paper never appear together, then six examination papers can be arranged in how many ways
1 answer
86 views
Indian cricket team consisting of 11 players sits down for dinner at a round table. In how many arrangements is
Virat flanked by
1 answer
54 views
Indian cricket team sits down for dinner at a round table. In how many arrangements is
Virat flanked by Rohit and Dhawan?
1 answer
58 views
There are five gentlemen and four ladies to dine at a round table. In how many ways can they
themselves, so that no two ladies
1 answer
113 views
Three boys and three girls go out for dinner. A shy boy does not want to sit with any girl and a shy girl does not want any boy
1 answer
104 views
If α,β,γ be the roots of the equation ax3+bx2+cx+d=0 , then the equation whose roots are −α,−β,−γ is
1 answer
54 views
Angles A, B and C of a triangle ABC are in A.P. If a, b and c are the corresponding sides, then
b2+c2−bc=a2 a2+c2−ac=b2
1 answer
66 views
If x, y, z are positive numbers in AP then
y2≥xz y≥2xz−−√ x+y2y−x+y+z2y−z has the minimum value 2
1 answer
60 views
Product of real roots of the equation x2+|x|+9=0
3 answers
56 views
Statements S and R are as follows:
S : sin x and cosx both are decreasing functions in , 2 R : if
1 answer
94 views
