The locus a point P(α,β) moving under the condition that the line y=αx+β is a tangent to the hyperbola a2x2−b2y2=1 is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

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The locus a point {P}{(,)} moving under the condition that the

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The locus a point $P (α, β)$ moving under the condition that the line $y = α x + β$ is a tangent to the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

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The locus a point

P (α, β)

moving under the condition that the line

y = α x + β

is a tangent to the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

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Question Text

The locus a point

P (α, β)

moving under the condition that the line

y = α x + β

is a tangent to the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle