Question
Which element is used as a cooling medium for the Large
Hadron Collider (LHC) and superconducting magnets in MRI scanners?Solution
Helium is crucial for cooling the superconducting magnets in the Large Hadron Collider (LHC) and MRI scanners, ensuring they operate at extremely low temperatures necessary for optimal performance.
LCM of 'x' and 'y' is 30 and their HCF is 1 such that {10 > x > y > 1}.
I. 2p²- (x + y) p + 3y = 0
II. 2q² + (9x + 2) = (3x + y) q
I. 96x² + 52x - 63 = 0
II. 77y² + 155y + 72 = 0
I. 10p² + 21p + 8 = 0
II. 5q² + 19q + 18 = 0
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
I. 27x6 - 152x3 + 125 = 0
II. 216y6 - 91y3 + 8 = 0
I. x2 + 13x + 42 = 0
II. y² + 13y + 40 = 0
How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.
Let 's' represent the sum of the highest root of equations I and III, and 'r' denote the product of the lowest root of equation I and the highest root o...
I. 8x2 - 2x – 15 = 0
II. 12y2 - 17y – 40 = 0