Prove that the locus of the point of int...

Prove that the locus of the point of intersection of the normals at the ends of a system of parallel cords of a parabola is a straight line which is a normal to the curve.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions

Find the locus of thepoint of intersection of two normals to a parabol...
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P(t1) and Q(t2) are the point t1a n dt2 on the parabola y^2=4a x . The...
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Prove that the locus of the point of intersection of the normals at th...
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Find the number of distinct normals that can be drawn from (-2,1) to t...
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If the line passing through the focus S of the parabola y=a x^2+b x+c ...
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If a focal chord of y^2=4a x makes an angle alpha in [0,pi/4] with the...
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Find the length of the normal chord which subtends an angle of 90^@ at...
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Find the locus of the point of intersection of the normals at the end ...
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The abscissa and ordinates of the endpoints Aa n dB of a focal chord o...
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If A B is a focal chord of x^2-2x+y-2=0 whose focus is S and A S=l1, t...
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A circle is drawn to pass through the extremities of the latus rectum ...
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Circles drawn on the diameter as focal distance of any point lying on...
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If the length of a focal chord of the parabola y^2=4a x at a distance ...
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Find the equation of the parabola whose focus is S(-1,1) and directrix...
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If x^2 + y^2 = log(xy) , find dy/dx .
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If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , the...
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Prove that the length of the intercept on the normal at the point P(a ...
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Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+3...
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If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distan...
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Three normals to y^2=4x pass through the point (15, 12). Show that one...
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