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

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

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. p² – 5p + 6 = 0                  

II. 36q² = 81

I. 8/(√x) + 6/(√x) = √x

II. y ³- (14)^7/2 /(√y) = 0

If (5√P - 7√Q) = 5, [1.5P = 4Q-(R/3)+9] and (√P/√Q) = 1.6, then find out the value of ‘R’.

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

If, x - y radic; 3 = 23 and radic; 3x + y = 35

Find the angle between both the lines when they intersect each other.

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?