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For all real values of {m}, the straight line {y}={m}{x}+{{{9}

Question

For all real values of $m,$ the straight line $y = m x + 9 m^{2} - 4$ is a tangent to which of the following certain hyperbolas? (a) $9 x^{2} + 4 y^{2} = 36$ (b) $4 x^{2} + 9 y^{2} = 36$ (c) $9 x^{2} - 4 y^{2} = 36$ (d) $4 x^{2} - 9 y^{2} = 36$

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For all real values of

m,

the straight line

y = m x + 9 m^{2} - 4

is a tangent to which of the following certain hyperbolas? (a)

9 x^{2} + 4 y^{2} = 36

(b)

4 x^{2} + 9 y^{2} = 36

(c)

9 x^{2} - 4 y^{2} = 36

(d)

4 x^{2} - 9 y^{2} = 36

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Question Text

For all real values of

m,

the straight line

y = m x + 9 m^{2} - 4

is a tangent to which of the following certain hyperbolas? (a)

9 x^{2} + 4 y^{2} = 36

(b)

4 x^{2} + 9 y^{2} = 36

(c)

9 x^{2} - 4 y^{2} = 36

(d)

4 x^{2} - 9 y^{2} = 36

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