Consdier the equaiton `2 + |x^(2) + 4x + 3_= m , m in R`
Set of all real values of m so that given equation have four distinct solutions, is

Consdier the equaiton 2 + |x^(2) + 4x + 3| = m , m in R Set of all real values of m so that given equation have four distinct solutions, is

Consdier the equaiton 2 + |x^(2) + 4x + 3|= m , m in R Set of all real values of m so that the given equation has three solution is

Consdier the equaiton 2 + |x^(2) + 4x + 3|= m , m in R Set of all values of m so that the given equaition have two solutions is

Find the values of a for which eht equation |x-2|+a|=4 can have four distinct real solutions.

The set of all real values of a so that the range of the function y=(x^(2)+a)/(x+1) is R, is

Consider the equation |x^(2)-2x-3|=m , m in R . If the given equation has two solutions, then:

The range of real values of ' p' for which the equation 2log_(3)^(2)x-|log_(3)x|+p=0 has four distinct solutions is

Consider the quadratic equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 where m in R-{-1} The set of values of m such that the given quadratic equation has both roots are positive is

Show that the equation x^(2)+ax-4=0 has real and distinct roots for all real values of a .

Consider the equation (log_2 x)^(2) -4 log_2 x - m^(2) - 2m -13=0 , m in R . Let the real roots the equation be x_1,x_2 such that x_1 lt x_2 . The sum of maximum value of x_1 and minimum value of x_2 is :