Recently Vinay Mohan Kwatra has been appointed as Next Foreign Secretary of India. He was ambassador to which country?

If y + 1/y = 2 then find y¹¹⁷ + 1/(y¹¹⁷)

Find the value of ‘x’ in the given expression:

(49/16)^x× (64/343)^x-1= 4/7

when x =5 and y =-7 then find the value of 27x³ +58x²y +31xy² +8y³?

If ab + bc + ca = 0

Find the value of 1/(a² - bc) + 1/(b² - ca) + 1/(c² - ab)

If   x⁴ +  1/(x⁴) = 194 ,   , then find the value of   1/(x³ )  +  x³  ?

If a + (1/a) = 2, then find the value of (a⁵ + a³ + 6)/(7a – 5).

Find ‘x’ if (x³+3x)/(3x²+1) = 189/61

If x = 555, y = 554, z = 556, then the value of x² + y² + z² - xy-yz-zx?

If for non-zero x, x² - 4x - 1 = 0, what is the value of x² + 1/x²?