Chapter 2: Basic Algebra - Online Test
Q1. Find a so that the sum and product of the roots
of the equation 2x2 + (a - 3)x + 3a - 5 = 0 are equal is
Answer : Option B
Explaination / Solution:
Q2.
If a and b are the roots of the equation x2 - kx + 16 = 0 and satisfy a2 + b2 = 32, then the value of k is
Answer : Option C
Explaination / Solution:
Q3. The number of solutions of x2 + |x – 1| = 1 is
Answer : Option C
Explaination / Solution:
Q4. The equation whose roots are numerically equal
but opposite in sign to the roots of 3x2 - 5x - 7 = 0 is
Answer : Option B
Explaination / Solution:
Q5.
If 8 and 2 are the roots of x2
+ax+c = 0 and 3, 3 are the roots of x2 +dx+b = 0, then the roots
Answer : Option C
Explaination / Solution:
Q6.
If a and b are the real roots of the equation x2 - kx + c = 0, then the distance between the points (a, 0) and (b, 0) is
Answer : Option A
Explaination / Solution:
Q7. If 
, then the value of k is
, then the value of k is
Answer : Option C
Explaination / Solution:
Q8. If 
, then the value of A + B is
, then the value of A + B is
Answer : Option A
Explaination / Solution:
Q9. The number of roots of (x + 3)4 + (x +
5)4 = 16 is
Answer : Option A
Explaination / Solution:
Q10. The value of log3 11. log11
13. log13 15.log15 27.log27 81 is
Answer : Option D
Explaination / Solution:
