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Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > Find the x and y intercepts of the graph of the equation:...
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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?

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CSAT Tutor, BPSC DI Tutor (Ex. Drishti IAS Senior Content Writer)

put x=0 and find the y-intercept. put y=0 and find the x-intercept.
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Math, Sciences and Electrical Engineering

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)...
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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). read less
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x intercept is 2 and y-intercept is 3.
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Mathematics expert graduated from IIT Madras

The 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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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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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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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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