JEE Main questions
34495 published questions with worked solutions.
- If , , are the roots of the equation x^3-7x+7=0, then 1 ^4 + 1 ^4 + 1 ^4 is
- If , , are the roots of x^3+bx+c=0, then ^2 + ^2+ ^2 + ^2+ ^2 + ^2 is equal to
- Let and be the roots of the quadratic equation ax^2+bx+c=0. Observe the lists given below. Column-I: (A) (i) = ; (B) (ii) =2 ;...
- If and are the roots of the equation ax^2+bx+c=0, (c 0), then the equation whose roots are 1 a +b and 1 a +b is
- 4 [4]4 [8]4 [16]4 is a root of the equation
- Let , be the roots of the equation x^2-px+r=0 and 2,2 be the roots of the equation x^2-qx+r=0. Then the value of r is
- If , , are the roots of the equation x^3+x+1=0, then the value of ^3+ ^3+ ^3 is
- If one of the roots of the equation x^2+bx+3=0 is thrice the other, then b is equal to
- If and ^2 are the two imaginary cube roots of unity, then the equation whose roots are a ^ 317 and a ^ 382 , is
- If one root of the quadratic equation ax^2+bx+c=0 is equal to nth power of the other root, then the value of (ac^n)^ 1/(n+1)...
- If 2-i is the root of the equation ax^2+12x+b=0 (where a and b are real), then the value of ab is equal to
- Let , , be the roots of the equation x^3-10x^2+7x+8=0. Match the following and choose the correct answer. Column-I: (A) + + ; (B)...
- If the roots of the equation 1 x+p + 1 x+q = 1r, (x -p,x -q,r 0) are equal in magnitude but opposite in sign, then p+q is equal to
- If and ^2=5 -3, ^2=5 -3, then the equation having / and / as its roots is
- The cubic equation whose roots are thrice to each of the roots of x^3+2x^2-4x+1=0 is
- If the sum of the roots of the equation ax^2+2x+3a=0 is equal to their products, then the value of a is
- If , and are the roots of the equation x^3-8x+8=0, then ^2 and 1 are respectively
- If and are the roots of the equation ax^2+bx+c=0, then (1+ + ^2 ) (1+ + ^2 ) is equal to
- If and are the roots of the equation px^2+qx+r=0, then
- The value of a for which one root of the quadratic equation (a^2-5a+3 )x^2+(3a-1)x+2=0 is twice as large as the other, is