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Given two points a (- 2,0), B (0,2), point P is any point on the ellipse x ^ 2 / 16 y ^ 2 / 9 = 1, then the maximum distance from point P to line ab
Line y = x + B and ellipse tangent
P is the tangent point and the distance has a maximum
25x²+32bx+16b²-144=0
Discriminant = 0
Calculate B = - 5
Maximum = 7 √ 2 / 2
Given that P (x, y) is a moving point on the ellipse x ^ 2 / 25 + y ^ 2 / 16 = 1, find the maximum value of 4x / 5 + 3Y / 4
Let x = 5cosa
y²/16=1-cos²a=sin²a
So y = 4sina
So 4x / 5 + 3Y / 4 = 4cosa + 3sina = 5sin (a + Z)
Where Tanz = 4 / 3
So the maximum value is 5
Let P (x, y) be the upper moving point of the ellipse x ^ 2 / 2 + y ^ 2 = 1, then the maximum value of Y-X is equal to?, hoping to have a complete process and mapping
B = 1
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