JEE Advanced questions
3844 published questions with worked solutions.
- The polynomial (ax^2+bx+c)(ax^2-dx-c), ac 0, has
- Let f(x)=ax^3+5x^2-bx+1. If f(x) when divided by 2x+1 leaves 5 as remainder, and f'(x) is divisible by 3x-1 then
- x^ 3^n +y^ 3^n is divisible by x+y if
- The number of real solutions of the equation e^x=x is
- The sum of the real roots of the equation x^2+|x|-6=0 is
- The equation 2 ^2 x2 ^2x=x+ 1x, 0<x 2 hasNot in JEE Main syllabus
- The product of all the solutions of the equation (x-2)^2-3|x-2|+2=0 is
- If 3^ x+1 =6^ _2 3 then x is
- The number of real solutions of the equation 6-x x^2-4 =2+ x x+2 is
- If [x]= the greatest integer less than or equal to x, and (x)= the least integer greater than or equal to x, and [x]^2+(x)^2>25...
- The solution set of | x+1 x |+|x+1|= (x+1)^2 |x| is
- The number of solutions of |[x]-2x|=4, where [x] is the greatest integer x, is
- The set of real values of x satisfying ||x-1|-1 | 1 is
- If x Z (the set of integers) such that x^2-3x<4 then the number of possible values of x is
- If a,b,c are nonzero, unequal rational numbers then the roots of the equation abc^2x^2+(3a^2+b^2)cx-6a^2-ab+2b^2=0 are
- If l,m are real and l m then the roots of the equation (l-m)x^2-5(l+m)x-2(l-m)=0 are
- If a,b,c,d are four consecutive terms of an increasing AP then the roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 are
- If a,b,c are three distinct positive real numbers then the number of real roots of ax^2+2b|x|-c=0 is
- The equation x^2-6x+8+ (x^2-4x+3)=0, R, has
- If , , are in GP then roots of x^2+2 x+1=0 are always