MTH401 Midterm Practice Questions Lectures 1-22

01-(MCQ,Marks-01) x A + y B = 1; is a linear equation of a straight line in — — - form. Intercept (correct) point slope two points normal

02-(MCQ,Marks-01) Equation of x�axis is— –. x = 0 y = 0(correct) x = a y = b

03-(MCQ,Marks-01) Equation of y�axis is— –. x = a y = b x = 0(correct) y = 0

04-(MCQ,Marks-01) Equation of line parallel to x-axis is— — -. x = 0 y = 0 x = a y = b(correct)

05-(MCQ,Marks-01) Equation of line parallel to y-axis is— — -. x = 0 y = 0 x = a(correct) y = b

06-(MCQ,Marks-01) Equation of a straight line bisecting 1st and 3rd quadrants is— — -. y = x(correct) y = �x y = x + 1 y = �x + 1

07-(MCQ,Marks-01) Equation of a straight line bisecting 2nd and 4th quadrants is— — -. y = x y = �x(correct) y = x + 1 y = �x + 1

08-(MCQ,Marks-01) f (x) = ax2 + bx + c;graphically represents — — .

a parabola if a 6= 0 a straight line if a = 0 all above are true (correct)

09-(MCQ,Marks-01) For the quadratic equation:ax2 + bx + c = 0; roots will be real and distinct

if the Discriminant= p b2 � 4ac � � � �: > 0(correct) < 0 = 0 6= 0

10-(MCQ,Marks-01) For the quadratic equation:ax2 + bx + c = 0; roots will be equal if the

Discriminant= p b2 � 4ac � � � �: > 0 < 0 = 0(correct) 6= 0

11-(MCQ,Marks-01) For the quadratic equation:ax2 + bx + c = 0; roots will be irrational and

unequal if the Discriminant= p b2 � 4ac � � � �: is a perfect square is not perfect square (correct)

12-(MCQ,Marks-01) For the quadratic equation:ax2 + bx + c = 0; roots will be rational if the

Discriminant= p b2 � 4ac � � � �: is a perfect square (correct) is not perfect square

13-(MCQ,Marks-01) For the quadratic equation:ax2 +bx+c = 0; roots will be complex conjugates of each other, if the Discriminant = p b2 � 4ac � � � �: > 0 < 0(correct) = 0 6= 0

14-(MCQ,Marks-01) If ; are the roots of a quadratic equation ax2 + bx + c = 0; a 6= 0; then

sum of roots= + =— –. �b a (correct) b ac a�c a

15-(MCQ,Marks-01) If ; are the roots of a quadratic equation ax2 + bx + c = 0; a 6= 0; then

the product of roots= =— –. �b a b ac a (correct) �c a

16-(MCQ,Marks-01) If ; are the given roots of a required quadratic equation, such that S = + and P = , then the quadratic equation is given by— — -. x2 + Sx + P = 0 x2 � Sx + P = 0(correct) x2 + Sx � P = 0 x2 � Sx � P = 0 17-(MCQ,Marks-01) The cubic equation ax3 + bx2 + cx + d = 0 will have three roots, if

d 6= 0 c 6= 0 b 6= 0 a 6= 0 (correct)

18-(MCQ,Marks-01)

then the Sum of roots= S = + + =— — -. c a d a�c a �b a (correct)

19-(MCQ,Marks-01)

then the Sum of product of roots= SoP = + + =— — -. c a (correct) d a�c a �b a