Question
The perimeter of a rectangular field is 44 metres and
its area is 114 m2 . What is the length of the diagonal of this field?Solution
Let the length and breadth of the rectangular field be ‘p’ metres and ‘q’ metres respectively Then, according to the question, 2 × (p + q) = 44 Or, (p + q) = 44/2 = 22…… (1) Also p × q = 114 We know, (p + q)2 = p2 + q2 + 2pq Or, p2 + q2 = 222 – 2 × 114 Or, p2 + q2 = 256 So, length of the diagonal of the rectangular field = √(length2 + breadth2) = √(p2 + q2) = √256 = 16 metres
I. 2x² + 15 x - 27 = 0
II. 3 y² + 25 y - 18 = 0
I. 2y² - 3y – 14 = 0
II. 3x² - 7x + 4 = 0
I. x²= 961Â
II. y= √961
I. x2 – 19x + 88 = 0
II. (y + 4)2 = 121
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 34x + 285 = 0
Equation 2: y² - 26y + 165 = 0
I. x² + 3x – 154 = 0
II. y² + 5y – 126 = 0
I. x2 + 28x + 96 = 0
II. y2 + 3y - 70 = 0
I. 6x2 – 7x - 20 = 0
II. 3y2Â - y - 14 = 0
If the roots of the quadratic equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
...l). 2p² - 10p - 48 = 0
ll). q ² + 5q - 234 = 0
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