Basic Mathematics and Logarithm questions
509 published questions with worked solutions.
- If _ 3 ( |z|^2-|z|+1 2+|z| )<2, then the locus of z is
- If |a_k|<1, _k 0 for k=1,2, ,n and _1+ _2+ + _n=1, then the value of | _1a_1+ _2a_2+ + _na_n| is
- The locus of z satisfying the inequality _ 1/3 |z+1|> _ 1/3 |z-1| is
- If x^2+px+1 is a factor of the expression ax^3+bx+c, then
- The values of x satisfying |x-4|+|x-9|=5 is
- If (x+1) is a factor of x^4-(p-3)x^3-(3p-5)x^2+(2p-7)x+6, then the value of p is
- The roots of the equation 2^ x+2 3^ 3x x-1 =9 are given by
- The number of solutions of 5+ (x^2+1 ) (x-2) =2 is
- The number of real solutions of the equation |x^2+4x+3 |+2x+5=0 are
- The equation x^ 34( _2x)^2+( _2x)- 54 = 2 has
- The value of x in the given equation 4^x-3^ x- 12 =3^ x+ 12 -2^ 2x-1 is
- If x^2+ax+1 is a factor of ax^3+bx+c, then
- The solution of set of the equation x^ _x(1-x)^2 =9 is
- Number of positive integers x for which f(x)=x^3-8x^2+20x-13 is a prime number is
- Polynomial P(x) contains only terms of odd degree. When P(x) is divided by (x-3), the remainder is 6. If P(x) is divided by...
- The solution set of the inequation x+4 x-3 2, is
- The set of values of x satisfying inequations |x-1| 3 and |x-1| 1, is
- The solution set of the inequation |x-1|+|x-2|+|x-3| 6, is
- The solution set of the inequation | 2x-1 x-1 |>2, is
- The solution set of the inequation 0<|3x+1|< 13, is
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