Question
Question: If a and b are the roots of the equation \[{{x}^{2}}-1=0\] the form of quadratic equation whose root...
If a and b are the roots of the equation x2−1=0 the form of quadratic equation whose roots are 2a and 2b will be:
A. x2−42=0
B. x2+4=0
C. x2−4=0
D. x2+42=0
Explanation
Solution
Hint: First of all we will find the roots of the quadratic equation and thus we will get the value of ‘a’ and ‘b’ and then we will check the options one by one whose roots will be 2a and 2b.
Complete step-by-step answer:
We have been given a and b are the roots of the equation x2−1=0 and asked to form the quadratic equations whose roots are 2a and 2b.
⇒x2−1=0
Adding 1 to both sides of equation, we get as follows: