Question

a) If p(x) is a quadratic equation i.e. p(x)=ax2+bx+c , then which of the following is correct:
i) a,b,c are real numbers ii) a,b,c are real numbers;a≠0 iii) a,b,c are rational number;a≠0 iv) All of these

b) The degree of quadratic equation is:
i) At least 2 ii) At most 2 iii) 2 iv) 1

c) The zero of p(x) is:
i) At least 2 ii) At most 2 iii) 2 iv) None

d) If two roots of quadratic equation have same sign then which among is true:
i) a,c same sign ii) a&c alternative sign iii) Both (i) & (ii) iv) None​

Answer 1

A N S W E R :

Correct option is C)

P(x)=ax

2

+bx+c

Hence, for real roots,

b

2

−4ac≥0

Q(x)=−ax

2

+dx+c

Hence, for real roots,

d

2

+4ac≥0

Now,

ac



=0

Now if ac<0

Then,

b

2

−4ac>0

Hence, P(x).Q(x) has atleast 2 real roots .

If ac>0

Then

d

2

+4ac>0

Hence, P(x).Q(x) has atleast 2 real roots .

Answer 2

Answer:

2

4

2

2

Step-by-step explanation:

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