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Question 59Asked in UGC NET Computer Science, November 2017 (Paper II & III, Selected Questions)

Find the equation of the circle x² + y² = 1 in terms of x'y' coordinates, assuming that the xy coordinate system results from a scaling of 3 units in the x'…

Find the equation of the circle x² + y² = 1 in terms of x'y' coordinates, assuming that the xy coordinate system results from a scaling of 3 units in the x' direction and 4 units in the y' direction.
  1. A3(x')² + 4(y')² = 1
  2. B(x'/3)² + (y'/4)² = 1
  3. C(3x')² + (4y')² = 1
  4. D(1/3)(x')² + (1/4)(y')² = 1
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Correct answer: (B) (x'/3)² + (y'/4)² = 1

Explanation

Scaling by 3 units in x' and 4 units in y' gives x = x'/3 and y = y'/4. Substituting in x² + y² = 1 gives (x'/3)² + (y'/4)² = 1.

From UGC NET Computer Science PYQ, November 2017 (Paper II & III, Selected Questions)

This is question 59 of UGC NET Computer Science PYQ, November 2017 (Paper II & III, Selected Questions). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.