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 polynomials in one-variable, two variables etc:
`x^2-2tx+7t^2-x+t`
The graph of the polynomial f(x) = ax2 + bx + c is as shown below (Fig. 2.19). Write the signs of 'a' and b2 − 4ac.
For what value of k, −4 is a zero of the polynomial x2 − x − (2k + 2)?
If the graph of quadratic polynomial ax2 + bx + c cuts negative direction of y-axis, then what is the sign of c?
If f(x) = ax2 + bx + c has no real zeros and a + b + c = 0, then
If the product of zeros of the polynomial f(x) ax3 − 6x2 + 11x − 6 is 4, then a =
Divide. Write the quotient and the remainder.
40m5 ÷ 30m3
Obtain all the zeroes of the polynomial 2x4 − 5x3 − 11x2 + 20x + 12 when 2 and − 2 are two zeroes of the above polynomial.
Identify the following expression is polynomial. If not give reason:
`1/(x^(-2)) + 1/(x^(-1)) + 7`
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.
Rita’s height (in feet) above the water level is given by another polynomial p(t) with zeroes -1 and 2. Then p(t) is given by ______.