Advertisements
Advertisements
प्रश्न
In Q. No. 15, write the sign of c.
उत्तर
The parabola `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 of P are (0,c). Clearly, P lies on OY. Therefore C < 0.
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`t^2+1`
Write the standard form of a cubic polynomial with real coefficients.
In Fig. 2.17, the graph of a polynomial p(x) is given. Find the zeros of the polynomial.
If x = 1 is a zero of the polynomial f(x) = x3 − 2x2 + 4x + k, write the value of k.
If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.
If α and β are the zeros of the polynomial f(x) = x2 + px + q, then a polynomial having \[\frac{1}{\alpha} \text{and}\frac{1}{\beta}\] is its zero is
If the product of two zeros of the polynomial f(x) = 2x3 + 6x2 − 4x + 9 is 3, then its third zero is
Case Study -1
The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.
Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial h(t) such that h(t) = -16t2 + 8t + k.
At what time will she touch the water in the pool?
Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
The three zeroes in the below shown graph are:
Classify the following as a constant, linear, quadratic and cubic polynomials:
1 + x + x2
