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For all real values of m, the straight line y = mx + √9m² − 4 is a tangent to which of the following certain hyperbolas? 8. 9x² + 4y² = 36 c. 9x² - 4y² = 36 b. 4x² +9y² = 36 d. 4x² - 9y² = 36

For all real values of m, the straight line y = mx + √9m² − 4 is a tangent to which of the following certain hyperbolas? 8. 9x² + 4y² = 36 c. 9x² - 4y² = 36 b. 4x² +9y² = 36 d. 4x² - 9y² = 36

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For all real values of m, the straight line y = mx + √9m² − 4 is a tangent to which of the following certain hyperbolas? a. 9x² + 4y² = 36 c. 9x² - 4y² = 36 b. 4x² +9y² = 36 d. 4x² - 9y² = 36 Find the value of m for which y = mx + -_1²² 6 is a tangent to the hyperbola X 100 49 = 1. Find the equations of tangents to the curve 4x² - 9y² = 1 which are parallel to 4y = 5x + 7.
Transcribed Image Text:For all real values of m, the straight line y = mx + √9m² − 4 is a tangent to which of the following certain hyperbolas? a. 9x² + 4y² = 36 c. 9x² - 4y² = 36 b. 4x² +9y² = 36 d. 4x² - 9y² = 36 Find the value of m for which y = mx + -_1²² 6 is a tangent to the hyperbola X 100 49 = 1. Find the equations of tangents to the curve 4x² - 9y² = 1 which are parallel to 4y = 5x + 7.
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