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Find the x and y intercepts of the graph of the equation: 9(square of x) + 4(square of y) = 36?

Asked by Priyanka Bulkquestions Last Modified

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x intercept is where y = 0, i.e 9 x2 = 36, x = + 2, -2. y intercept is where x = 0, i.e 4 y2 = 36, y = +3, -3.

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Comments Square of (x/a) + square of (y/b) = 1 represents the equation of an ellipse centered at origin. a, b are its radii on x and y axis respectively. Dividing the given equation by 36 and comparing the values, we can get the values of a and b from the equation as 3 and 2. x intercepts are (3,0) and (-3,0) while y intercepts are (0,2) and (0,-2).

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POST YOUR REQUIREMENT NOWThe intercepts of an ellipse are the lengths of semi major and semi minor axes. Try to find the lengths of semi major axis and semi minor axis. I hope you can try it. So, I am not giving the final answer.

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Comments It means (square of x)/4 + ( square of y)/9 = 1. Hence, x intercept is 2 and y intercept is 3.

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Comments 9(square of x) + 4(square of y) = 36 can be written as: (square of x)/(square of 2) + (square of y)/( square of 3) = 1 which is the equation of an ellipse. So, its x intercepts are : (2,0) ; (-2,0). And its y intercepts are : (3,0) ; (-3,0).

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