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The number of tangents to the parabola y^2=8x through (2,1) is

The number of tangents to the parabola y^2=8x through (2,1) is

Grade:11

1 Answers

Mssr Saketh
22 Points
4 years ago
Substitute the point (2,1) in the given curve Equation y2=8x=>(1) 2=8(2).The value is not equal. It means the point is not on the parabola. (2,1) is an external point.As parabola appears to be as a part of circle(but not) TWO tangents can be drawn to parabola from (2,1).

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