WebEXAMPLE : Ex.1 Tangent to an ellipse 3x2 + 4y2 = 12, parallel to the line y + 2x = 4. Ex.2 Equation of the tangent to an ellipse 9x2 + 16y2 = 144 passing from (2, 3). Also compute the tangents to the ellipse 2x2 + 7y2 = 14 from (5, 2) [Ans. y = 3, x + y = 5 ; x – y = 3 and x – 9y + 13 = 0] Ex.3 Tangent to an ellipse makes angles 1, 2 with ... WebLet m be the slope of a tangent to the ellipse from ( 1, 2). The equation of the tangent is y = m x − m + 2. Put it into the equation of the ellipse, x 2 + 2 ( m x − m + 2) 2 = 3 ( 1 + 2 m 2) x 2 − 4 m ( m − 2) x + 2 m 2 − 8 m + 5 = 0 As the tangent meets …
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Web14 mrt. 2014 · Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = 36 that pass through the point (12, 3). smaller slope y= larger slope y= asked by Tim March 14, 2014 4 answers the the point of contact be P (x,y) Make a sketch to see that there would be two points P 2x + 8y dy/dx = 0 dy/dx = -2x/ (8y) = -x/ (4y) slope of tangent = (y-3)/ (x-12) Web7 aug. 2024 · If a tangent to the ellipse x2 + 4y2 = 4 meets the tangents at the extremities o JEE Main 2024 (Online) 25th July Evening Shift Conic Sections Mathematics ... If a … floating picnic table with cooler
The normal at a point P on the ellipse x2 + 4y2 = 16 meets the X …
Web6 aug. 2024 · Find the equations of the tangents to the ellipse x2 + 4y2 = 9 which are parallel to the line 2x + 5. Show that the tangents from the point with position vector −2i − … WebFind equations of both the tangent lines to the ellipse x2 + 4y2 = 36 that pass through the point (12, 3). y = (smaller slope) X y (larger slope) This problem has been solved! You'll get a detailed solution from a subject matter expert … Web3 jan. 2024 · The eccentricity of the ellipse x 2 /4 + y 2 / 16 = 1 is: A. 0.725 B. 0.256 C. 0.689 D. 0.866 View Answer: 67. An ellipse has the equation 16x 2 + 9y 2 + 32x – 128 = 0. Its eccentricity is: A. 0.531 B. 0.66 C. 0.824 D. 0.93 View Answer: 68. The center of the ellipse 4x 2 + y 2 – 16x – 6y – 43 = 0 is at: A. (2, 3) B. (4, -6) C. (1, 9) D. (-2, -5) floating picnic table plans