A circle having radius 5 units and passing through point (4,3) and its centre lies on line 2x+y-1=0.. Find the equation of circle Answer: (x - 1)² + (y + 1)² = 5² or (x + 1)² + (y - 3)² = 5² Step-by-step explanation: We know that the equation of a circle is expressed as (x - h)² + (y - k)² = r² Given: r = 5 Unknown: (h, k) To solve for the center, were given the following clues; (1) the circle is passing through point (4, 3) (2) the center lies on the line 2x + y - 1 = 0 Identify the two equations in which you can get the center of the circle; Equation 1 = 2x + y - 1 = 0 Equation 2 = *I used the distance formula in equation 2. This will help me identify the missing center of the circle. Solve for y in equation 1: 2x + y - 1 = 0 2x + y = 1 y = 1 - 2x Substitute the value of y in equation 2: Substitute the value of x in equation 1: When x = 1, y = -1 When x = -1, y = 3 Substitute the values of x and y to (h, k). Yoll then get: (x - 1)² + (y + 1)² = 5² or (x + 1)² + (y - 3)² = 5² ^...
ENGLISH DECLAMATION PIECES If you can keep your head when all about you Are losing theirs and blaming it on you, If you can trust yourself when all men doubt you, But make allowance for their doubting too; If you can wait and not be tired by waiting, Or being lied about, don't deal in lies, Or being hated, don't give way to hating, And yet don't look too good, nor talk too wise: If you can dream—and not make dreams your master; If you can think—and not make thoughts your aim; If you can meet with Triumph and Disaster And treat those two impostors just the same; If you can bear to hear the truth you've spoken Twisted by knaves to make a trap for fools, Or watch the things you gave your life to, broken, And stoop and build 'em up with worn-out tools: If you can make one heap of all your winnings And risk it on one turn of pitch-and-toss, And lose, and start again at your beginnings And never breathe a word about your loss; If you can force your heart ...
What are the pros and cons of women empowerment / feminism Pros: Better society. A more just and equitable distribution of power, wealth,logic and emotions driving major decision making processes. Hopeful decrease in the overwhelming crimes against both genders. Respect. Something which should be a fundamental right to every human being, but sadly isn't. A lesser, more humane society, in which, the first gender to be sent into war are not picked on the basis of a misguided sense of equality, but on a more capability and character basis. No free lunches to ladies just because they are so. Not referring to one gender as the "Fairer sex", and thereby, undermining the other one. Cons: Misguided sense of superiority among females, just because they are being given additional opportunities to make up for the injustice their mother's and sisters faced. A sense of power over males, because, patriarchy's deep roots have historically p...
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