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Asked by araima2001 | 4th Dec, 2016, 11:48: AM

Expert Answer:

begin mathsize 16px style The space equation space of space the space parabola space is space given space to space be space straight y equals 4 straight x squared.
Normals space at space straight A left parenthesis straight p squared comma space 2 straight p right parenthesis comma space straight B left parenthesis straight q squared comma 2 straight q right parenthesis space and space straight C left parenthesis straight r squared comma 2 straight r right parenthesis space are space concurrent
that space is space they space pass space through space straight a space common space point comma space and space hence space the space points space are space conormal space points
We space know space that space if space straight A left parenthesis straight p squared comma space 2 straight p right parenthesis comma space straight B left parenthesis straight q squared comma 2 straight q right parenthesis space and space straight C left parenthesis straight r squared comma 2 straight r right parenthesis comma space then space
2 straight p plus 2 straight q plus 2 straight r space equals space 0
rightwards double arrow straight p plus straight q plus straight r space equals space 0
Comparing space this space with space the space quadratic space equation space px squared plus qx plus straight r space equals space 0 comma
we space get space straight x equals 1 space to space be space the space root space of space the space given space equation.
Clearly comma space the space quadratic space equations space px squared plus qx plus straight r space equals space 0 space and space space straight a left parenthesis straight b minus straight c right parenthesis straight x squared plus straight b left parenthesis straight c minus straight a right parenthesis straight x plus straight c left parenthesis straight a minus straight b right parenthesis space equals space 0 space have space straight a space common space root space that space is space straight x equals 1.
So comma space the space correct space option space is space left parenthesis straight d right parenthesis. end style

Answered by Rebecca Fernandes | 12th Dec, 2016, 09:55: AM

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