For what value of λ does the line y = 2x + λ touches the hyperbola
Equation of hyperbola is
Comparing this with we get a2 = 9, b2 = 16.
and comparing this line y = 2x + λ with y = mx + c
If the line y = 2x + λ touches the hyperbola
To find the equation of the hyperbola from the definition that hyperbola is the locus of a point which moves such that the difference of its distances from two fixed points is constant with the fixed point as foci.
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