Quadratic Equations and Inequalities questions
963 published questions with worked solutions.
- Let 0 be in R. If and are the roots of the equation, x^2-x+2 =0 and and are the roots of the equation, 3x^2-10x+27 =0, then is...
- The product of the roots of the equation 9x^2-18|x|+5=0, is
- If and are the roots of the equation, 7x^2-3x-2=0, then the value of 1- ^2 + 1- ^2 is equal to :
- If and be two roots of the equation x^2-64x+256=0. Then the value of ( ^3 ^5 )^ 1/8 + ( ^3 ^5 )^ 1/8 is -
- let a, b, c, d and p be any non zero distinct real numbers such that (a^2+b^2+c^2)p^2-2(ab+bc+cd)p+(b^2+c^2+d^2)=0. Then -
- If and are the roots of the equation 2x(2x+1)=1, then is equal to :
- If f(x) = x^2 + 2bx + 2c^2 and g(x) = -x^2 - 2cx + b^2 such that f(x) > g(x), then the relation between b and c, is
- The set of all solutions of the inequation x^2 - 2x + 5 0 in R is
- If 2x 2x^2+5x+2 > 1 x+1 , then
- If 9x^2 + 6x + 1 < (2 - x), then
- If x^2 + 2ax + 10 - 3a > 0 for all x R, then
- The solution set contained in R of the inequation 3^x + 3^ 1-x - 4 < 0, is
- If x^2 + 4ax + 2 > 0 for all values of x, then a lies in the interval
- Number of integer solutions of x+2 x^2+1 > 1 2 is
- If x^2 + 2x + n > 10 for all real numbers x, then which of the following conditions is true?
- Let x = [ a+2b a+b ] and y = a b , where a and b are positive integers. If y^2 > 2, then
- The set of values of x for which the inequalities x^2 - 3x - 10 < 0, 10x - x^2 - 16 > 0 hold simultaneously, is
- (x - 1)(x^2 - 5x + 7) < (x - 1), then x belongs to
- The solution of the inequation 2x^2 + 3x - 9 0 is given by
- If x^2 + 6x - 27 > 0 and x^2 - 3x - 4 < 0, then
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