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Point Form of Normal: Ellipse

Find the equa...

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Find the equations of the chords of the parabola y^2=4ax which pass through a point (-6a,0) and which subtends an angle of 45` at the vertex.

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Q. Find the equations of the chords of the parabola

y^{2} = 4 a x

which pass through the point (-6a,0)and which subtends an angle of

45^{\circ}

Q. Find the locus of the mid - points of the chords of the parabola

y^{2} = 4 a x

which subtend
a right angle at the vertex.

Q. Find the slope of the normal chord of the parabola

y^{2} = 4 a x

which subtends a right angle at its vertex.

Q. Assertion :The locus of mid points of the chords of the parabola

y^{2} = 4 a x

which subtends a right angle at the vertex is

y^{2} = 2 a (x - 4 a)

. Reason: Chord

P Q

joining the points

t_{1}

t_{2}

subtends a right angle at the vertex of a parabola if

t_{1} t_{2} = - 2

.

Q. Chords of the parabola

y^{2} + 4 y = \frac{4}{3} x - \frac{16}{3}

which subtend right angle at the vertex pass through

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Point Form of Normal: Ellipse

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