Who has been awarded the ‘Officer of the Order of Arts

The ratio of roots of the equation mx² + nx + n = 0 is α/ β = a/b, then find the value of `sqrt(a/b)+sqrt(b/a)+sqrt(n/m)`

I. 2p² + 5p + 2 = 0               II. 2q² + 11 q + 14 = 0

For which value of m, there is no solution to the equation -

a – b = 5

ma – 4b = 1

The slope of the equation  24x+ 8y =56 is

The ratio of roots of an equation

ax²+bx+b = 0 is p : q

Then find, √p/√q + √q/√p + √p/√q ?

Find the area between the lines 18x +12y = 108, 9x  + 6y  = 27, x - axis and y -axis. 

I. 8/(√x) + 6/(√x) = √x

II. y ³- (14)^7/2 /(√y) = 0

The equations 6x + my + 18 = 0 and 9x + 21y + 27 = 0 have a unique solution. Which of the following statements is definitely true?

If in two linear equations ax + by = c and dx + ey = f and a/d = b/e = c/f  then, which of the following is true about the two equations?