Mathematics questions
18011 published questions with worked solutions.
- The value of a for which the equation 2x^2+2 6x+a=0 has equal root, is
- The solution set of the equation pqx^2-(p+q)^2x+(p+q)^2=0 is
- The coefficients of x in the quadratic equation x^2+bx+c=0 was taken as 17 in place of 13, its roots were found to be -2 and -15....
- If p,q,r are real and p q, then the roots of the equation (p-q)x^2+5(p+q)x-2(p-q)=r, are
- Let ( a)x^2+( a)x+(1- a)=0. The value of a for which roots of this equation are real and distinct, is
- If x satisfies |x^2-3x+2 |+|x-1|=x-3, then
- A value of k for which the quadratic equation x^2-2x(1+3k)+7(2k+3)=0 has equal roots, is
- The roots of the equation x^3-3x-2=0 are
- The roots of the equation |x^2-x-6 |=x+2 are
- If a 0, then one of the roots of x^2-2a|x-a|-3a^2=0 is
- If and are roots of the quadratic equation x^2+4x+3=0, then the equation whose roots are 2 + and +2 is
- If two equations x^2+a^2=1-2ax and x^2+b^2=1-2bx have only one common root, then
- If both the roots of the quadratic equation x^2-2kx+k^2+k-5=0 are less than 5, then k lies in the interval
- If , , are the roots of x^3+4x+1=0, then the equation whose roots are ^2 + , ^2 + , ^2 + is
- The quadratic equations x^2-6x+a=0 and x^2-cx+6=0 have one root in common. The other roots of the first and second equations are...
- The quadratic equation whose roots are three times the roots of 3ax^2+3bx+c=0 is
- Let a,b,c be real, if ax^2+bx+c=0 has two real roots and , where <-2 and >2, then
- For a b, if the equation x^2+ax+b=0 and x^2+bx+a=0 have a common root, then the value of a+b equals
- The equation whose roots are reciprocal of the roots of the equation ax^2+bx+c=0 is
- If a,b,c are in GP, then the equation ax^2+2bx+c=0 and dx^2+2ex+f=0 have a common root, if da, eb, fc are in