Question
Which of the following is the correct term used to
describe Graphite, Carbon and Diamonds?Solution
Allotropes refer to two or more different physical forms in which an element can exist. The property is due to different ways atoms bond together. The most common instance is the element carbon, which exists in several different forms, including diamond, graphite, and fullerenes, making it an allotropic element. It’s crucial to note that allotropy applies to elements, not compounds.
I. y/16 = 4/yÂ
II. x3 = (2 ÷ 50) × (2500 ÷ 50) × 42 × (192 ÷ 12)
I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. 5q = 7p + 21
II. 11q + 4p + 109 = 0
The roots of x² − (k+3)x + (3k − 1) = 0 are real and distinct, and the larger root exceeds the smaller by 5. Find k.
I. 64x2 - 64x + 15 Â = 0 Â Â Â Â
II. 21y2 - 13y + 2Â =0
- Suppose both the roots of q² + kq + 49 = 0 are real and equal, then determine the value of 'k'.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 2x² - 8x + 6 = 0
Equation 2: y² - 7y + 10 = 0
I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0
How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
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