JEE Main questions
34495 published questions with worked solutions.
- If a,b and c are in geometric progression and the roots of the equation ax^2+2bx+c=0 are and and those of cx^2+2bx+a=0 are and ,...
- If 3p^2=5p+2 and 3q^2=5q+2 where p q, then the equation whose roots are 3p-2q and 3q-2p is
- Let , be the roots of equation 2x^2-(p+1)x+(p-1)=0. If - = , then what is the value of p?
- Suppose that two persons A and B solve the equation x^2+ax+b=0. While solving A commits a mistake in the coefficient of x was...
- If and are imaginary cube roots of unity, then ^4+ ^4+ 1 is equal to
- If and are the roots of x^2-2x+4=0, then the value of ^6+ ^6 is
- If , are the roots of the equation ax^2+bx+c=0, then the equation whose roots are 2 +3 and 3 +2 , is
- Let , ^2 be the roots of x^2+x+1=0, then the equation whose roots are ^ 31 , ^ 62 is
- If , , are the roots of x^3+2x^2-3x-1=0, then ^ -2 + ^ -2 + ^ -2 is equal to
- Let f(x)=ax^2+bx+c, a 0 and =b^2-4ac. If + , ^2+ ^2 and ^3+ ^3 are in GP, then
- If and cosec are the roots of the equation x^2-px+q=0, then
- If + =4 and ^3+ ^3=44, then , are the roots of the equation
- Given that A and B are the roots of x^2-px+q=0, then the value of ^2(A+B) is
- If and are the solutions of the quadratic equation ax^2+bx+c=0 such that = ^ 1/3 , then
- In a triangle PQR, R= 2. If ( P2 ) and ( Q2 ) are the roots of ax^2+bx+c=0, a 0, then
- If a,c 0 and , are the roots of the equation ax^2+bx+c=0, then the quadratic equation with 1/ and 1/ as its roots is
- If the roots of the equation x^2-bx+c=0 are two consecutive integers, then b^2-4c is
- If and are the roots of the equation ax^2+bx+c=0 and, if px^2+qx+r=0 has roots 1- and 1- , then r is equal to
- If , be the roots of the quadratic equation x^2+x+1=0, then the equation whose roots are ^ 19 , ^7 is
- If and are the roots of the equation ax^2+bx+c=0, =3 and a,b,c are in AP, then + is equal to