Practice questions
88551 published questions with worked solutions.
- If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0, then a+2b+c is equal to
- If the difference between the roots of the equation x^2+ax+1=0 is less than 5, then the set of possible values of a is
- For how many values of k, x^2+x+1+2k (x^2-x-1 )=0 is a perfect square?
- If the roots of x^3-3x^2-6x+8=0 are in arithmetic progression, then the roots of the equation are
- The equation x^2-3|x|+2=0 has
- The equation x^2-2 2kx+2e^ 2 k -1=0 has the product of roots equal to 31, then for what value of k it has real roots?
- If 2+i 3 is a root of the equation x^2+px+q=0, then the value of (p,q) is
- A, B, A are in GP. Roots of x^2+2x B+1=0 are always
- The difference between two roots of the equation x^3-13x^2+15x+189=0 is 2. Then the roots of the equation are
- If a+b+c=0, then the roots of the equation 4ax^2+3bx+2c=0 are
- The roots of 4x^2+6px+1=0 are equal, then the value of p is
- 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