Basic Mathematics and Logarithm questions
509 published questions with worked solutions.
- Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A B and B D, then A C" is (JEE Main 2020)
- The number of elements in the set x R:(|x|-3)|x+4|=6 is equal to (JEE Main 2023)
- Let S= x [-6,3]- -2,2 : |x+3|-1 |x|-2 0 and T= x Z :x^2-7|x|+9 0 . Then the number of elements in S T is (JEE Main 2023)
- Suppose f:[-2,2] R is defined by f(x)= cases -1, & -2 x 0 x-1, & 0 x 2 cases , then x [-2,2]:x 0 and f(|x|)=x is equal to
- If f(x)=2x^4-13x^2+ax+b is divisible by x^2-3x+2, then (a,b) is equal to
- If 4^x-2^ x+2 +5+ ||b-1|-3 |=| y|, x,y,b R, then the positive value of b is
- If x= 49 satisfies the inequality _a(x^2-x+2)> _a(-x^2+2x+3), then the sum of all possible distinct values of [x] is (where [ ]...
- If a, b and c are non-zero rational numbers, the sum of all the possible values of |a| a + |b| b + |c| c is
- Number of values of x for which | ||x^2-x+4|-2 |-3 |=x^2+x-12 is
- Number of integral values of a for which f(x)= ( _ 1/3 ( _7( x+a) ) ) is defined for every real value of x is
- Let f(x)=|x-1|. Then,
- Let f(x) be defined on [-2,2] and be given by f(x)= cases -1, & -2 x 0 x-1, & 0<x 2 cases and g(x)=f(|x|)+|f(x)|. Then g(x) is...
- The values of x for which y= - _ 1/2 (1+ 1 x^ 1/4 )-1 is a real number are
- The domain of definition of f(x)= _ 1.7 ( 2- '(x) x+1 )^ 1/2 , where (x)= x^3 3 - 3x^2 2 -2x+ 32, is
- The function f(x)= (1-x),(1+x),2 , x (- , ), is equivalent to
- The domain of definition of f(x)= _ 0.3 |x-2| |x| is
- Let f(x)=x+1 and (x)=x-2. Then the values of x satisfying |f(x)+ (x)|=|f(x)|+| (x)| are
- The domain of f(x)= | _ex| is
- The domain of definition of the function f(x)= _2 [-( _2x)^2+5 _2x-6 ] is
- If D is the set of all real x such that 1-e^ 1x-1 is positive, then D is equal to
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