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CBSE Class 10 Answered

(i) If graph of quadratic polynomial  ax2+bx+c

what is the sign of “c”.pls answer me fast
tmrw is my test
Asked by my3shyll | 19 Apr, 2016, 04:44: PM
answered-by-expert Expert Answer
Q u e s t i o n space i s space i n c o m p l e t e colon
Q u e s t i o n space s h o u l d space b e colon
I f space t h e space g r a p h space o f space q u a d r a t i c space p o l y n o m i a l space a x squared plus b x plus c space c u t s space t h e space p o s i t i v e space y minus a x i s comma space w h a t space i s space t h e space s i g n space o f space c ?
o r space
I f space t h e space g r a p h space o f space q u a d r a t i c space p o l y n o m i a l space a x squared plus b x plus c space c u t s space t h e space n e g a t i v e space y minus a x i s comma space w h a t space i s space t h e space s i g n space o f space c ?

S o l u t i o n colon
C a s e 1 colon
S u p p o s e space t h e space g i v e n space q u a d r a t i c space c u t s space t h e space p o s i t i v e space y minus a x i s.
O n space y minus a x i s comma space x equals 0
T h u s comma
y equals a cross times 0 squared plus b cross times 0 plus c
space space space equals c
T h u s space y equals c space a n d space h e n c e space t h e space s i g n space o f space c space i s space p o s i t i v e.
C a s e 2 colon
S u p p o s e space t h e space g i v e n space q u a d r a t i c space c u t s space t h e space n e g a t i v e space y minus a x i s.
O n space y minus a x i s comma space x equals 0
T h u s comma
minus y equals a cross times 0 squared plus b cross times 0 plus c
rightwards double arrow space y space equals negative c
T h u s space y equals negative c space a n d space h e n c e space t h e space s i g n space o f space c space i s space n e g a t i v e.
E x a m p l e colon
O b s e r v e space t h e space f o l l o w i n g space g r a p h colon
T h e space b l u e space c o l o u r space c u r v e space c u t s space t h e space p o s i t i v e space y minus a x i s space a n d space h e n c e space c space i s space p o s i t i v e space 3.
T h e space r e d space c o l o u r space c u r v e space c u t s space t h e space n e g a t i v e space y minus a x i s space a n d space h e n c e space c space i s space n e g a t i v e space 3.
Answered by Vimala | 20 Apr, 2016, 11:01: AM
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