Mathematics questions
18011 published questions with worked solutions.
- 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
- If , , are the roots of the equation x^3-6x^2+11x-6=0, then ^2 + is equal to
- If the roots of the equation 4x^3-12x^2+11x+k=0 are in arithmetic progression, then k is equal to
- If , and are the roots of equation x^3-3x^2+x+5=0, then y= ^2+ satisfies the equation
- Let p and q be real numbers such that p 0, p^3 q and p^3 -q. If and are non-zero complex numbers satisfying + =-p and ^3+ ^3=q,...
- Let the two numbers have arithmetic mean 9 and geometric mean 4. Then, these numbers are the roots of the quadratic equation