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Angle of Intersection of Two Curves

38. If the no...

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38. If the normal to a parabola y²=4ax at P meets the curve again in Q and if PQ and the normal at Q makes angles alpha and beta respectively with the x-axis than {tan alpha(tan alpha +tan beta)} has the value equal to

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Q. If the normal to a parabola

y^{2} = 4 a x

P

meets the curve again in

Q

P Q

and the normal at

Q

α

β

, respectively, with the

x - a x i s

tan α (tan α + tan β)

has the value equal to

Q. If the normal to a parabola

y^{2} = 4 a x

P

meets the curve again at

Q

P Q

and the normal at

Q

α

β

, respectively with the

x

tan α (tan α + tan β)

has the value equal to

Q. If the normal to a parabola

y^{2} = 4 a x

P

meets the curve again at

Q

P Q

and the normal at

Q

α

β

, respectively with the

x

tan α (tan α + tan β)

has the value equal to

Q. If the tangent at the P of the curve

y^{2} = x^{3}

intersect the curve again at Q and the straight lines OP, OQ make angles

α, β

with the x-axis, where O is the origin. then,

tan α / tan β

has the value equal to

Q. If the tangent at P of the curve

y^{2} = x^{3}

intersects the curve again at Q and the straight lines OP, OQ ma angles

α, β

with the x-axis where 'O' is the origin then

tan α / tan β

has the value equal to?

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