If x = $$a + \frac{1}{a}$$ and y = $$a - \frac{1}{a}$$ then $$\sqrt {{x^4} + {y^4} - 2{x^2}{y^2}} $$ is equal to:
A. 16a2
B. 8
C. $$\frac{8}{{{a^2}}}$$
D. 4
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & x = a + \frac{1}{a},\,y = a - \frac{1}{a} \cr & {\text{Let}} \Rightarrow a = 1 \cr & x = 1 + \frac{1}{1} = 2 \cr & y = 1 - 1 = 0 \cr & \sqrt {{x^4} + {y^4} - 2{x^2}{y^2}} \cr & = \sqrt {16 + 0 - 0} \cr & = 4 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
Join The Discussion