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CBSE Class 10 Answered

If graph of quadratic polynomial ax2+bx+c cuts positive direction of y-axis, then what is the sign of “c”.
Asked by my3shyll | 19 Apr, 2016, 04:47: PM
answered-by-expert Expert Answer
begin mathsize 12px style The space quadratic space polynomial space straight y equals ax squared plus bx plus straight c space cuts space positive space direction space of space straight y minus axis.
Any space point space on space straight y minus axis space has space straight x equals 0.
So space substituting space straight x equals 0 comma space in space the space polynomial space expression comma space we space get
straight y equals straight a cross times 0 squared plus straight b cross times 0 plus straight c equals straight c
So comma space the space graph space cuts space straight y minus axis space at space the space point space straight y equals straight c.
Since space it apostrophe straight s space given space that space the space graph space cuts space positive space direction space of space straight y minus axis comma
the space sign space of space apostrophe straight c apostrophe space is space positive. end style
Answered by satyajit samal | 19 Apr, 2016, 07:02: PM
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