Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseLine and ellipseMedium2 minQB

MathematicsMediuminteger

The number of values of c such that the straight line $y = 4 x + c$ touches the curve

$x^{2} /4 + y^{2} = 1 is K then K = .$

Answer:

Solution:

If $y = m x + c$ is tangent to $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ then

$C^{2} = a^{2} m^{2} + b^{2} y = 4 x + c, \frac{x ^{2}}{4} + \frac{y ^{2}}{1} = 1 C = \pm 65$

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:Line and ellipse

⏱ 2mℹ️ Source: QB

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