Graphs of Quadratic Equation for different values of D when a<0
Trending Questions
The equation ax2+bx+c=0 does not have real roots and c<0. Which of these is true?
a+b+c>0
4a+2b+c<0
b>a+c
Both (a) & (b)
- a<0, b<0, c<0
- a<0, b>0, c<0
- a>0, b<0, c<0
- a<0, b<0, c>0
- (−∞, −12]
- (−∞, −5)
- (−∞, −12)
- (−∞, 0)
The graph of expression f(x)=−2x2+5x+7 looks like:
Cup shaped parabola
A straight line
Can’t say
Cap shaped parabola
Which among the following conclusions is/are correct?
- abc(9a+3b+c)<0
- a+3b+9cabc<0
- abc(a−3b+9c)>0
- a−b+cabc=0
If a<0 and D<0, what can be inferred about f(x)=ax2+bx+c?
f(x)= is always positive
f(x)=0 always
Cannot determine nature of f(x)
f(x) is always negative
- a<0 & D=0
- a<0 & D<0
- a<0 & D>0
- x∈R
- x∈ϕ
- x∈R−(0}
Which among the following is/are correct?
- a+3b+9cabc<0
- abc(9a+3b+c)<0
- a−b+cabc=0
- abc(a−3b+9c)>0
- p∈(−∞, −1) ∪ (2, ∞)
- p∈(1, 2)
- p∈R
- p∈(−∞, 1) ∪ (2, ∞)
If a<0 and D<0, what can be inferred about f(x)=ax2+bx+c?
f(x) is always negative
f(x)=0 always
Cannot determine nature of f(x)
f(x)= is always positive
- p∈R
- p∈(−∞, 1) ∪ (2, ∞)
- p∈(1, 2)
- p∈(−∞, −1) ∪ (2, ∞)
Which among the following conclusions is/are correct?
- a−b+cabc=0
- abc(9a+3b+c)<0
- abc(a−3b+9c)>0
- a+3b+9cabc<0
The expression −5x2+4x+3, has
Minimum value at x=25
Minimum value as −195
Maximum value as 195
Maximum value at x=25
The maximum value of f(x)=−3x2+5x+2 ∀ x∈[0, 2] is
21036
14736
15036
15036
Which of the following options is/are correct?
- f(0)>0
- f(−3)>0
- f(3)>0
- f(−7)=0
If the graph of y=3x2+2√bx+5 does not touch x-axis, which of the following is true?
b<15
b<50
b>15
b>50
The maximum value of f(x)=−3x2+5x+2 ∀ x∈[0, 2] is
15036
15036
14736
21036