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Grade 11Analytical Geometry

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

Profile image of Rishi Kumar rai
8 Years agoGrade 11
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1 Answer

Profile image of Mssr Saketh
8 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).