Advertisements
Advertisements
प्रश्न
Figure 2.23 show the graph of the polynomial f(x) = ax2 + bx + c for which
विकल्प
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
उत्तर
Clearly, f(x) = ax2 + bx + c represent a parabola opening downwards. Therefore, `a < 0`
` y= ax^2 + bx + c ` 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 P are `(0,c)`. Clearly, P lies on `(OY)`. Therefore `c > 0`
The vertex `(-b)/(2a), (-D)/(4a)` of the parabola is in the second quadrant. Therefore `-b /(2a)`, `b < 0`
Therefore `a < 0,b>0` and `c > 0`
Hence, the correct choice is `(b)`
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`3x-2`
For what value of k, is −3 a zero of the polynomial x2 + 11x + k?
For what value of k, is −2 a zero of the polynomial 3x2 + 4x + 2k?
If graph of quadratic polynomial ax2 + bx + c cuts positive direction of y-axis, then what is the sign of c?
Identify the following expression is polynomial. If not give reason:
x2(x – 1)
Which of the following is not the graph of quadratic polynomial?
The degree of the sum of two polynomials each of degree 5 is always 5.
Determine the degree of the following polynomial:
2x – 1
Determine the degree of the following polynomial:
x3 – 9x + 3x5
Classify the following as a constant, linear, quadratic and cubic polynomials:
4 – 5y2
