Question

If the diagram in Fig. 2.22 shows the graph of the polynomial f(x) = ax² + bx + c, then

पर्याय

• a > 0, b < 0 and c > 0

• a < 0, b < 0 and c < 0

• a < 0, b > 0 and c > 0

• a < 0, b > 0 and c < 0

Answer 1

Clearly,  `f(x) = ax^2 +bx +c` represent a parabola opening upwards.

Therefore, ` a > 0` cuts Y axis at P which lies on  `OY`. Putting x = 0 in  `y = ax^2 + bx + c`, we get y = c. So the coordinates of P is `(0,c)`. Clearly, P lies on `OY`. Therefore  `c < 0`

Hence, the correct choice is  `(a)`