Mathematics questions
18011 published questions with worked solutions.
- For a,b>0, let 5a-b, 2a+b, a+2b be in A.P. and (b+1)^2, ab+1, (a-1)^2 are in G.P., the value of (a^ -1 +b^ -1 ) is
- Let a+ar_1+ar_1^2+ + and a+ar_2+ar_2^2+ + be two infinite series of positive numbers with the same first term. The sum of the...
- The coefficient of the quadratic equation ax^2+(a+d)x+(a+2d)=0 are consecutive terms of a positively valued, increasing...
- If the equation x^3+ax^2+bx+216=0 has three real roots in G.P., then b/a has the equal to
- The 5^ th and 8^ th terms of a geometric sequence of real numbers are 7! and 8! respectively. If the sum to first n terms of the...
- The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369. The first and the ninth term...
- If x^ 32( _2x-3) = 18, then x equals to
- _2a 3= _2b 4= _2c 5 and a^ -3 b^ -4 c=1 then =
- The values of 3 81 80 +5 25 24 +7 16 15 is
- The value of _ 2 2 2 2 2 , is
- If _2 x- _2 x- _2 (1- ^2x )=-1, then x=
- If x=-2, then the value of _4 ( x^2 4 )-2 _44 (x^4 ), is
- The equation _ex+ _e(1+x)=0 can be written as
- The number of real solutions of the equation (-x)=2 (x+1), is
- If _ 10 5=x, then _51250 equals to
- If _aab=x, then the value of _bab is
- If _2x+ _4x+ _ 16 x= 21 4, then x equals to
- If a 3= b 4= c 5, then ca equals
- The value of 3+ 343 2+ 12 ( 49 4 )+ 13 ( 1 125 ) is
- If 5^ 3x^2 _ 10 2 =2^ (x+ 12 ) _ 10 25 , then x equals to