Practice questions
88551 published questions with worked solutions.
- If one root is square of the root of the equation x^2+px+q=0, then the relation between p and q is
- If and are the roots of the equation x^2-x+1=0 then ^ 2009 + ^ 2009 is equal to
- Let and be the roots of x^2-2x +1=0. Then the equation whose roots are ^n, ^n is
- If , are the roots of the equation x^2-(1+n^2)x+ 12 (1+n^2+n^4 )=0, then ^2+ ^2 is equal to
- If + =h, then the quadratic equation having and as its roots, is
- If and are the roots of the equation x^2-6x+a=0 and satisfy the relation 3 +2 =16, then the value of a is
- 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