JEE Advanced questions
3844 published questions with worked solutions.
- The roots of ax^2+bx+c=0, where a 0 and coefficients are real, are nonreal complex and a+c<b. Then
- If a 3^ x +a 3^ - x -2=0 has real solutions, x 2 , 0 x , then the set of possible values of the parameter a is
- If a>1, roots of the equation (1-a)x^2+3ax-1=0 are
- If a R , b R then the equation x^2-abx-a^2=0 has
- If , be the roots of 4x^2-16x+ =0, R such that 1< <2 and 2< <3 then the number of integral solutions of is
- The number of integral values of a for which x^2-(a-1)x+3=0 has both roots positive and x^2+3x+6-a=0 has both roots negative is
- If X denotes the set of real numbers p for which the equation x^2=p(x+p) has its roots greater than p then X is equal to
- If ^4x+ ^2x-p=0, p R has real solutions then
- If one root of the equation (k^2+1)x^2+13x+4k=0 is reciprocal of the other then k has the value
- If the ratio of the roots of x^2+ x+ =0 is equal to the ratio of the roots of x^2+x+1=0 then , , are in
- If the roots of 4x^2+5k=(5k+1)x differ by unity then the negative value of k is
- If the product of the roots of the equation x^2-5x+4^ _2 =0 is 8 then is
- If , are the roots of x^2-px+q=0 then the product of the roots of the quadratic equation whose roots are ^2- ^2 and ^3- ^3 is
- If the sum of the roots of the quadratic equation ax^2+bx+c=0 is equal to the sum of the squares of their reciprocals then b^2 ac...
- If the absolute value of the difference of roots of the equation x^2+px+1=0 exceeds 3p then
- If , are roots of x^2+px+q=0 and , are the roots of x^2+px-r=0 then ( - )( - ) is equal to
- If , are roots of 375x^2-25x-2=0 and s_n= ^n+ ^n then _ n _ r=1 ^ n s_r is
- The quadratic equation whose roots are the AM and HM of the roots of the equation x^2+7x-1=0 is
- Let and ^2+3=5 while ^2=5 -3. The quadratic equation whose roots are and is
- If a and b are rational and b is not a perfect square then the quadratic equation with rational coefficients whose one root is 1...