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Question 1
Let 
and 
be the roots of the equation x2 + px + q = 0. If 
and 
are the roots of the equation x2 + mx + n = 0, then what is the value of m + n?
and be the roots of the equation x2 + px + q = 0. If and are the roots of the equation x2 + mx + n = 0, then what is the value of m + n?
Question 2
Let 
and 
be the roots of the equation x2 – ax – bx + ab – c = 0. What is the quadratic equation whose roots are a and b?
and be the roots of the equation x2 – ax – bx + ab – c = 0. What is the quadratic equation whose roots are a and b?
Question 3
If the roots of the equation x2 – ax – bx – cx + bc + ca = 0 are equal, then which one of the following is correct?
Question 4
If equation 
and 
have roots 
and 
respectively where 
is double of 
then what is the equation who will have roots 
.
and have roots and respectively where is double of then what is the equation who will have roots .
Question 5
The roots α and β of a quadratic equation, satisfy the relations α + β = α2 + β2 and αβ = α2β2. What is the number of such quadratic equations?
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NDAJun 10NDA
