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in the given figure `y=x^(2)+bx+c` is a quadratic polynomial which meets x-axis at A and B and y-axis at C Q is vertex of quadratic polynomial and foot of perpendicular from Q to x-axis and y-axis are P and R respectively. Then answer the following questions. Q. if two circles passing through A and B touches y-axis at C and R respectively thenA. `b^(2)=2c`B. `b^(2)=3c`C. `b^(2)=4c`D. `b^(2)=8c` |
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Answer» Correct Answer - C `OA.OB=OC^(2)` `alpha.beta=c^(2)` & `((b^(2)-4c)/(4))^(2)=alphabeta` `(b^(2)-4)^(2)=16` `c=c^(2)` `b^(2)-4=4` `c=1` `b^(2)=8` |
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