JEE Main questions
34495 published questions with worked solutions.
- If the equations ax^2+bx+c=0 and 2x^2+3x+4=0 have a common root, then a:b:c
- The number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=0 is
- If m Z and the equation mx^2+(2m-1)x+(m-2)=0 has rational roots, then m is of the form
- If the equation x^3-3x+a=0 has distinct roots between 0 and 1, then the value of a is
- If roots of ax^2+bx+c=0, a,b,c R, a 0 are imaginary then
- Let S denote the set of all real values of a for which the roots of the equation x^2-2ax+a^2-1=0 lie between 5 and 10, then S...
- The set of values of a' for which x^2+ax+ ^ -1 (x^2-4x+5 )+ ^ -1 (x^2-4x+5 )=0 has at least one real root is given by
- If the equation 2x^2-7x+1=0 and ax^2+bx+2=0 have a common root, then
- The equation (x-b)(x-c)+(x-a)(x-b)+(x-a)(x-c)=0 has all its roots
- If a+b+c=0 and a c then the roots of the equation (b+c-a)x^2+(c+a-b)x+(a+b-c)=0, are
- The number of real roots of the equation |x|^2-3|x|+2=0 is
- If x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^2+(2p-9)x+6, then p is
- If is a root of 25x^2+5x-12=0, -1<x<0. Then the value of 2 is
- If , are the roots of the equation x^2+px+q=0 and ^4, ^4 are the roots of x^2-rx+s=0, then the equation x^2-4qx+2q^2-r=0 has...
- If a,b,c are real and x^3-3b^2x+2c^3 is divisible by x-a and x-b, then
- If the roots of a_1x^2+b_1x+c_1=0 are _1, _1 and those of a_2x^2+b_2x+c_2=0 are _2, _2 such that _1 _2= _1 _2=1, then
- If p and q are the roots of the equation x^2+px+q=0, then
- The equation formed by decreasing each root of ax^2+bx+c=0 by 1 is 2x^2+8x+2=0, then
- If a,b,c R and a+b+c=0, then the quadratic equation 4ax^2+3bx+2c=0 has
- The condition that one root of the equation ax^2+bx+c=0 may be double of the other, is