JEE Main questions
34495 published questions with worked solutions.
- If a,b,c are the sides of the triangle ABC such that a b c and x^2-2(a+b+c)x+3 (ab+bc+ca)=0 has real roots, then
- If the roots of the quadratic equation x^2-4x- _3a=0 are real, then the least value of a is
- The real root of the equation x^3-6x+9=0 is
- If one of the root of the equation x^2+ax+3=0 is 3 and one of the roots of the equation x^2+ax+b=0 is three times the other root,...
- Let f(x)=x^2+ax+b, where a,b R. If f(x)=0 has all its roots imaginary, then the roots of f(x)+f'(x)+f''(x)=0 are
- The roots of the quadratic equation x^2-2 3x-22=0 are
- The number of solutions for the equation x^2-5|x|+6=0 is
- If p,q,r are positive and are in AP, then roots of the quadratic equation px^2+qx+r=0 are complex for
- If one root of the equation x^2+(1-3i)x-2(1+i)=0 is -1+i, then the other root is
- Real roots of the equation x^2+5|x|+4=0 are
- If (1-p) is a root of quadratic equation x^2+px+(1-p)=0, then its roots are
- The roots of the equation x^4-2x^3+x=380 are
- If a,b and c are distinct positive real numbers in AP, then the roots of the equation ax^2+2bx+c=0 are
- Let a,b be the solutions of x^2+px+1=0 and c,d be the solutions of x^2+qx+1=0. If (a-c)(b-c) and (a+d)(b+d) are the solutions of...
- 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?