[" 198) For tasotheroots "],[qquad x^(2)-2a|x-a|-3a>=0" ane "]

If m_1,m_2 " are the roots of the equation " x^2-ax-a-1=0 , then the area of the triangle formed by the three straight line y=m_1,x,y=m_2x and y=a(ane -1) is

The roots of a^(2)x^(2)+abx+b^(2),ane0 are :

If a and b are odd integers then the roots of the equation 2ax^(2)+(2a+b)x+b=0(ane0) are

If the roots of the equation x^(2)-5x+16=0 are alpha,beta ans the roots of the equation x^(2)+px+q=0 are (alpha^(2)+beta^(2)) and (alpha beta)/(2) then

If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 is/are

If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 is/are

The roots of the equation 3a^(2)x^(2)+8abx+4b^(2)=0 ,where ane0 are

Which of the following equations has the sum of its roots as 3?( a) x^(2)+3x-5=0 (b) -x^(2)+3x+3=0(c)sqrt(2)x^(2)-(3)/(sqrt(2))x-1=0(d)3x^(2)-3x-3=0

If the roots of the equation ax^(2)+bx+c=0(ane0) be equal, then