If the normal to the parabola x2=-4ay at the points (x1, y1), (x2,y2) and (x3,y3) are concurrent, then

Question

If the normal to the parabola x2=-4ay at the points (x1, y1), (x2,y2) and (x3,y3) are concurrent, then (A)  y1+y2+y3=0  (B)  x1x2+x2x2+x3x1=0  (C)  x1+x2+x3=0  (D)  x1y1+x2y2+x3y3=0

Tardigrade Admin · Accepted Answer

If the normal to the parabola x2=-4ay at the points (x1,y1), (x2,y2) and (x3,y3) are concurrent, then sum of ordinate is zero. ie, y1+y2+y3=0

Q. If the normal to the parabola $x^{2} = - 4 a y$ at the points $(x_{1}, y_{1}), (x_{2}, y_{2})$ and $(x_{3}, y_{3})$ are concurrent, then

$y_{1} + y_{2} + y_{3} = 0$

$x_{1} x_{2} + x_{2} x_{2} + x_{3} x_{1} = 0$

$x_{1} + x_{2} + x_{3} = 0$

$x_{1} y_{1} + x_{2} y_{2} + x_{3} y_{3} = 0$

If the normal to the parabola $x^{2} = - 4 a y$
at the points $(x_{1}, y_{1}), (x_{2}, y_{2})$ and $(x_{3}, y_{3})$ are concurrent, then sum of ordinate is zero. ie, $y_{1} + y_{2} + y_{3} = 0$

Q. If the normal to the parabola x2=−4ay at the points (x1​,y1​),(x2​,y2​) and (x3​,y3​) are concurrent, then

y1​+y2​+y3​=0

x1​x2​+x2​x2​+x3​x1​=0

x1​+x2​+x3​=0

x1​y1​+x2​y2​+x3​y3​=0